236 articles trouvés pour ce sujet.
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Dernier théorème de Fermat |
2006-06-06 |
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Jean-Claude pose la question : Bonjour, je suis étudiant au baccalauréat en mathématique et j'aimerais savoir où et comment je peux me procurer la démonstration du dernier théorème de Fermat écrite par Wiles. Claude Tardif lui répond. |
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The length of a line at 45 degrees |
2022-04-09 |
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Aiden pose la question : Let's say one line is diagonal and one line is vertical.
If they eventually meet at a 45 Degree angle,
How long will the diagonal line be compared to the vertical line?
(For Example: If The Vertical Line is Exactly 1 Inch. penny Nom lui répond. |
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Scale drawing |
2021-02-10 |
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Elias pose la question : a football field is 160m long and 120m wide .
Find the distance between its opposite corner flag posts .
use the scale of 1cm:20m Penny Nom lui répond. |
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The height of a building |
2019-04-05 |
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Hayley pose la question : A young man is 36 meters away from a building and looking at a bird sitting on top of the building. The man knows he is 85 meters away from the bird. How tall is the building? Penny Nom lui répond. |
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The Polynomial Remainder Theorem |
2019-02-23 |
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pasandi pose la question : f(x) is a quadratic polynomial. when f(x) is divided by
(x-1),(x-2) & (x+2) the remainders respectively are -1, 4 and 2 how to find the f(x) in a question like this? Penny Nom lui répond. |
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(2018^2019)-(2019^2018) |
2019-01-23 |
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Nazrul pose la question : Find the remainder when (2018^2019)-(2019^2018) is divided by 4? Please show me the process. Harley Weston lui répond. |
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7 spheres on a hexagonal tray |
2019-01-14 |
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herm pose la question : what is the length of each side of a hexagonal tray, with the height of each side 0.75 inch, to hold seven spheres, each with a diameter of 3.00 inches? The spheres are placed such that each side of the hexagon is touched by one sphere at its midpoint (and the seventh sphere is place in the center of the "ring" of the other six spheres. Harley Weston lui répond. |
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A binomial expansion |
2019-01-05 |
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shifali pose la question : if the binomial expansion of (m-nx)^3 is 1+9x+-- find the values of m & n Penny Nom lui répond. |
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A rope fom a dock to a boat |
2018-03-14 |
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Tracey pose la question : A boat is tied with a rope to a dock that is 16 feet tall. Along, the water, the water the boat is 17 feet from the dock. How long is the rope connecting the boat to the dock? Let c represent the length of the rope.? Penny Nom lui répond. |
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Positive and negative values of a function |
2018-01-30 |
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Grayson pose la question : f(x)=x^6-x^4
Interval: ( negative infinity, negative one )
Test Value: negative two
Function Value f(x): positive forty eight
Interval: ( negative one, zero )
Test Value: negative one
Function Value f(x): zero
Interval: ( zero, positive one )
Test Value: positive one
Function Value f(x): zero
Interval: ( positive one, positive infinity )
Test Value: positive two
Function Value f(x): positive forty eight
What is the sign of f(x) for each Interval? Penny Nom lui répond. |
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How far is the boat from the harbour? |
2016-10-06 |
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Karabo pose la question : a boat sails 30 km due east from a harbour. Then it sails 40 km due north. How far is it from the harbour? Penny Nom lui répond. |
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The remainder theorem |
2016-10-04 |
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A student pose la question : need help with this
f(x)=4x^4-15x^2-4; x-2
using the remainder theorem to find the remainder Harley Weston lui répond. |
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Lisa went for a run |
2016-07-14 |
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Olive pose la question : Lisa ran 3km north and then 4 km east what was her total distance Penny Nom lui répond. |
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A puzzle embedded in a table top |
2016-05-13 |
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Aaron pose la question : I want to make a table with a puzzle embedded in it. The table top would be a
36" circle and the puzzle is 20"x27" I'm thinking that it's not going to fit,
but not sure. Any help would be appreciated.
Thanks,
Aaron Penny Nom lui répond. |
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The diagonal of a 10 acre square |
2016-04-11 |
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Derrick pose la question : I own 100 acre square of land. I want to run from farthest corner of property to farthest corner, Diagonally. How many miles would I have traveled? Penny Nom lui répond. |
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The remainder theorem |
2016-03-27 |
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Pratyasha pose la question : A quadratic polynomial when divide by x+2 leaves a remainder of 1 and when divided by x-1 leaves a remainder of 4. What will be the remainder if it is divided by (x+2)(x-1)? Penny Nom lui répond. |
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A limit of a rational function |
2016-01-16 |
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selvamani pose la question : F (x) = x^3+3x^2-9x-2 / x^3-x-6 and limit x tends to 2, f (x) exist then limit x tends to 2, f (x) is equal to ? How to answer this problem. Penny Nom lui répond. |
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An isosceles right triangle |
2015-05-17 |
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Ari pose la question : In a 45-45-90 triangle find the ratio of a leg to the hypotenuse Penny Nom lui répond. |
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The Pythagorean Theorem |
2014-03-30 |
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brenae pose la question : The Pythagorean Theorem, what is it? Penny Nom lui répond. |
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A scalene triangle |
2014-01-07 |
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cherry pose la question : Hi
I have been given a scalene triangle of sides -
8m, 6m, and 10m ..
Please help me to find out the area and help me to find out the height .. Penny Nom lui répond. |
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The area of a quadrilateral |
2013-12-21 |
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khushboo pose la question : Find the area of quadrilateral pqrs in which
angle QPS=90°,PQ=12cm, PS=9cm, QR=8cm and SR=17cm.
(Hint: PQRS has two parts) Penny Nom lui répond. |
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The zeros of a fourth degree polynomial |
2013-01-23 |
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Dakota pose la question : My problem has multiple steps and I have done everything but the last one. 8The original problem is f(x)=x^4-5x^3+7x^2+3x-10 and I have to find the zeros of the equation. I used synthetic substitution like my teacher taught us to get the equation of x^3-3x^2+x+5=0 but now I don't know how to get the zeros of that equation, or solve it. Penny Nom lui répond. |
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Two polynomials are divisible by x - 2 |
2012-12-26 |
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Tehmas pose la question : Determine the values of m and n so that the polynomials 2x^3+mx^2+nx-3 and x^3-3mx^2+2nx+4 are both divisible by x-2. Penny Nom lui répond. |
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The height of a triangle |
2012-10-17 |
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Brian pose la question : the base of my triangle is 12 metres and the two sides are 8.45 metres
can you help me find the height of the triangle Penny Nom lui répond. |
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A multinomial theorem |
2012-06-08 |
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Anuj pose la question : if (1+x+xsquare) whole raise to 20 is a0 + a1x + ........ + a20xraise to 40, then find a0 + a2 + a4 + .......... + a38.
How do you solve this??????? Robert Dawson lui répond. |
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A cubic inequality |
2012-03-25 |
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Victoria pose la question : The flight path of a bumblebee above the ground can be modelled by the function f(x)= 2x^3- 17x^2+ 11x + 130. Where x is the time in seconds and f(x) represents the height in inches above the ground. The entrance to the bee's hive is located 100 inches above the ground. Determine when the bumblebee's height is greater than 100 inches. The bee's height was monitored from 0 to 25 seconds inclusive. (over the domain 0 Penny Nom lui répond. |
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The remainder theorem |
2012-03-25 |
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Victoria pose la question : When k^2 + 3kx + 13k +k^2x - 3x^2 is divided by (x-4) the remainder is 22. Find the value(s) of K. Penny Nom lui répond. |
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A circle and a chord |
2012-02-11 |
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Sophia pose la question : The diagram shows a circle with a chord that is 10cm long. The middle of the chord is 12cm from the centre of the circle. Calculate the radius.
Chord length is 10cm.
The distance from the centre to chord is 12 cm. Penny Nom lui répond. |
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Decartes' circle theorem |
2011-09-07 |
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Joseph pose la question : Given 3 circles of diameters 50, 55, and 60 units,
Place them externally tangent.
What is the diameter of the outer circumscribing circle,
tangent to all 3 circles? I can attach a pdf if this description is not clear.
Not urgent, this has nothing to do with current assignments,
just wondering if I have developed the best methods? Chris Fisher lui répond. |
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The perimeter of a figure |
2011-04-27 |
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syed pose la question : Hello I'm Syed from Bangladesh.
Please help me out! It is killing me.
The question is=2C find the perimeter of the figure. I can't find the perimeter.
I am enclosing the figure as an attachment. Penny Nom lui répond. |
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A right angled triangle |
2011-04-22 |
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jeremy pose la question : Solve the right triangle with the given sides and angles. a=3.0 cm and b=1.6 cm Penny Nom lui répond. |
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How far is it from the control tower? |
2011-04-11 |
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Varun pose la question : An aircraft is vertically above a point which is 10 kms west and 5 kms north of a control tower. if the aircraft is 4000 mts above the ground,how far is it from the control tower? Penny Nom lui répond. |
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The development of the Pythagorean theorem |
2011-04-08 |
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Ataa pose la question : I am doing a assignment on Pythagorean Theorem and i am stuck on the sub-question
development of the Pythagorean theorem and i really need help can u give me accurate info
for this because i am not finding anything!!!thanks in advance.
Yours truly
AUMAKHAN Chris Fisher lui répond. |
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A circle in a square in a circle in a square |
2011-03-29 |
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George pose la question : A circle within a square which is inside
a larger circle which is also within a square.
(a circle in a square inside a circle in a square)
Equation of the smaller circle is: x ^ 2 x y ^ 2 = 25.
What are the dimensions of the larger square?
Been 40 years, trying to help my son. Penny Nom lui répond. |
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Calibrating a conical tank |
2011-02-05 |
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Bill pose la question : Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill Stephen La Rocque and Penny Nom lui répond. |
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Points with distance 5 from the point (-2, -1) |
2011-01-19 |
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Alexa pose la question : Find all points having a x-coordinate of 2 whose distance from the point (-2, -1) is 5. Penny Nom lui répond. |
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Semicircles and the Pythagorean Theorem |
2011-01-09 |
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Jas pose la question : Okay well, in math we are learning about the pythagorean theorem and we have to do a math journal on the question:
****Can you replace the squares (that are put on the sides of a right triangle) with semicircles and still get the same answer??
I do not understand because i tried doing an example and comparing it with a normal way of doing it and I didnt get the same answer! Penny Nom lui répond. |
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A polynomial remainder |
2010-12-25 |
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Asterdine pose la question : When a polynomial f(x) is divided by x+1 and x+2, the remainders are 3 and 7 respectively. Find the remainder when f(x) is divided by (x+2)(x+1). Penny Nom lui répond. |
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Two chords in a circle |
2010-12-02 |
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girma pose la question : one chord of a circle is 8cm long and it's distance from the center is 4cm long.what will be the length of another chord, of the same circle ,which is 2cm from the center Penny Nom lui répond. |
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A man made circular lake |
2010-11-25 |
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ailish pose la question : A man made circular lake has a diameter of 338 m. A bridge is to be constructed across the lake in such a way that it is 119 m away from the center of the lake. How long is the bridge? Penny Nom lui répond. |
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The equation of a circle |
2010-10-20 |
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Silvan pose la question : Hi, I just want to find the x,y values for the circumference of a circle...
Lets take a clock having its centre at (0,0) in a graph.
I just want to know how to find the (x,y) co-ordinates for the curved path or the surface of the circle..
Is there any formula to directly align the curved path or the circumference of the circle in a graph for a known radius of a circle..
I feel it will be useful for me to draw a clock in a graph... :-) Penny Nom lui répond. |
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The angles in an m-gon and genrealizations |
2010-10-16 |
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Michael pose la question : Hello:
In answer to a student's question, someone named Penny from
your organization provided a proof that the sum of the interior
angles of a triangle in the plane is pi radians (or 180 degrees).
I am interested (and I'm sure many other people would be too) in
3 potential generalizations of this basic fact in plane geometry: Walter Whiteley lui répond. |
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A truck goes south and then east |
2010-08-26 |
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MARK pose la question : A truck starts at point A and drives South 3 miles. Then it turns left at Point B and drives east four miles to point C. How many miles is the truck at point C from point A if it were to drive directly from point A to Point C.My book says the answer is 5 miles. How did they come up with the answer? Robert Dawson lui répond. |
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Two overlapping circles |
2010-08-04 |
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Husen pose la question : two circles of radius 5 cm intersect each other .the distance between their centers is 5root 2.find the area of the portion common to the two circles Penny Nom lui répond. |
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Remainders |
2010-07-17 |
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GARY pose la question : WHAT NUMBER DIVIDED BY 11 LEAVES 1, DIVIDED BY 13 LEAVES 8, AND DIVIDED BY 17 LEAVES 3. Chris Fisher lui répond. |
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The equation of a circle |
2010-06-23 |
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Michelle pose la question : Write and equation for the circle with a center, (0,0) and a diameter of 12 Penny Nom lui répond. |
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The height of a triangle |
2010-06-21 |
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Taylor pose la question : how do i find the height of a triangle with a base of 3 and a side of 5 the book says 4 but i cant get that Penny Nom lui répond. |
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A square inscribed in a circle |
2010-05-25 |
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Middle pose la question : what is the perimeter of a square inscribed in a circle of radius 5.0 inches? Penny Nom lui répond. |
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The hypotenuse of a triangle |
2010-05-22 |
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linda pose la question : find the length of the hypotenuse of a triangle with legs of 12in. and 17in. round to the nearest hundredth Tyler Wood lui répond. |
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How far is the runner from the starting point? |
2010-05-22 |
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Richard pose la question : A marathon runner runs 6 miles south and then 8 miles east. How far is the runner from the starting point? Tyler Wood lui répond. |
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How far am I from the starting point? |
2010-05-18 |
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jilayna pose la question : if i walk 5 miles north, 7 miles east, and 3 miles north again.to the nearest tenth of a mile ,how far,in a straight line, am i from my starting point Penny Nom lui répond. |
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Rational root theorem |
2010-04-14 |
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deciree pose la question : How could i get the value of x with this equation:
1/13x^3+12x/13=1/2
Thank you! Harley Weston lui répond. |
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A ladder against a wall |
2010-03-25 |
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amber pose la question : the distance from the bottom of the ladder to the building is18 foot less than the length of the ladder.How high up the building is the top of the ladder if that distance is 1 ft less than the length of the ladder? Penny Nom lui répond. |
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The hypotenuse |
2010-02-27 |
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Dannielle pose la question : how do you find the hypotenuse if a=8 and b=6? Penny Nom lui répond. |
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A 25 foot ladder reaches a window 20 feet high |
2010-02-27 |
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Tanner pose la question : a 25 foot ladder reaches a window 20 feet high. how far is the ladder from the building? how far must the foot of the ladder be moved to lower the top of the ladder by four feet? Tyler Wood lui répond. |
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The center of a rectangular room |
2010-02-16 |
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Diana pose la question : Consider a rectangular room, 15 feet wide, 30 feet long and 12 feet high. What is the exact distance from any of the 8 corners of the room and its geometric center? Can you write a generic formula for such a distance? And if we keep the same proportions on all dimensions, can you write an expression for the same distance as a function of the floor perimeter? Penny Nom lui répond. |
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The binomial theorem |
2010-01-21 |
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Laura pose la question : Using the fact that (1 + x)^4 * (1 + x)^9 = (1 + x)^13 show (4C0 * 9C4 + 4C1*9C3 + 4C2*9C2 + 4C3*9C1 + 4C4*9C0) = 13C4 Harley Weston lui répond. |
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Loading a headboard in a uhaul |
2010-01-20 |
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gina pose la question : I have a uhaul 9'10" long 4"9"wide 4'7"height I have a headboard 74 inches in height would it fit the box diagonally Penny Nom lui répond. |
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How high up the building does the ladder reach? |
2010-01-19 |
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rosenda pose la question : A 10 meter ladder is 6 meter from the base of a building. How high up the building does the ladder reach? Robert Dawson lui répond. |
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Related Rates Problem |
2010-01-12 |
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Neven pose la question : A woman raises a bucket of cement to a platform 40 ft
above her head by means of a rope 80 ft long that passes
over a pulley on the platform. If she holds her end of
the rope firmly at head level and walks away at 5ft/s,
how fast is the bucket rising when she is 30 ft away
from the spot directly below the pulley?
(G. F. Simmons, Calculus with Analytic Geometry, pg.142) Penny Nom lui répond. |
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(x+3) is a factor of 2x^3-3x^2+px+30 |
2010-01-09 |
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Ruby pose la question : (x+3) is a factor of 2x^3-3x^2+px+30.
Determine the value of p Penny Nom lui répond. |
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A quilt square |
2010-01-07 |
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Kimi pose la question : A quilt square is stitched along each diagonal to make 4 right triangles.
Each diagonal is 12 inches long. ( 1 foot)
How many quilt squares can be cut from a piece of fabric that is 8 feet
long and 2 feet wide?? Penny Nom lui répond. |
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A right-angled triangle |
2009-10-02 |
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Hunter pose la question : The three sides of a right-angled triangle measure x-1, x+6, and 2x+1 in length.
What are the possible lengths of the hypotenuse? Penny Nom and Melanie Tyrer lui répond. |
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A ladder leaning against a wall |
2009-09-08 |
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Mackenzie pose la question : A 7 foot long ladder is leaning against the building. The foot of the ladder is 2 feet from the base of the building. How far up the wall is the top of the ladder? Stephen La Rocque lui répond. |
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An antiderivative problem |
2009-08-13 |
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Indrajit pose la question : ∫4e^x + 6e^-x/(9e^x + 4e^-x)dx = Ax + Bloge(9e2x - 4) + C
then A=?......B=?.....C=?
plz solve it...."^" stands for "to the power of".... Harley Weston lui répond. |
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Using the Remainder Theorem to Find an Unknown Coefficient. |
2009-07-06 |
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Mukulu pose la question : What is the value of a if 2x2-x-6 ,3x2-8x+4 and ax3-10x-4 have a common factor. Janice Cotcher lui répond. |
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A diagonal of a rectangle |
2009-07-01 |
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Ruben pose la question : Please assist me with the following problem: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle? Thanks Harley Weston lui répond. |
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The Pythagorean theorem |
2009-06-24 |
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supreet pose la question : What are some real-world applications of the Pythagorean theorem?
and
How are the Pythagorean theorem and the distance formula related? Harley Weston lui répond. |
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nC0 + nC1 + nC2 + ... + nCn = 2^n |
2009-06-15 |
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Chinonyerem pose la question : For n >= 1, derive the identity
nC0 + nC1 + nC2 + ... + nCn = 2^n
[Hint: Let a = b = 1 in the binomial theorem] Penny Nom lui répond. |
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Ladder Leaning on a Wall |
2009-05-14 |
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clinton pose la question : a ladder rests against a wall 24m high.the foot of the ladder is 7m from the foot of the wall. How do you calculate the length of the ladder Robert Dawson lui répond. |
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The shadow of a tree |
2009-04-20 |
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Lindsey pose la question : James found that a 30 ft. tree that cast a shadow of 40 ft. A wire from the top of the tree to the beginning of its shadow must be how long? Penny Nom lui répond. |
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A walkway through a park |
2009-03-07 |
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felicia pose la question : a diagonal walkway through a park is 18 meters long. If the park is a square, how long is one of its sides to the nearest tenth of a meter? Penny Nom lui répond. |
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An octagonal landscaping frame |
2009-03-01 |
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Richard pose la question : Hi
I am trying to put landscape timbers down in octagon shape that measures 6
feet across and outside measures 360 degrees.. The timbers are 4 inches by 4
inches. I need to know at what angle to cut boards and at what length i need to
complete octagon.
Thanking you in advance for your kind assistance.
Richard :) Harley Weston lui répond. |
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The floor area in a spherical space station |
2009-02-14 |
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Ed pose la question : I am writing a science fiction novel that involves a spherical space station with a
radius of 800 meters. Inside, artificial gravity allows parallel floors set 4 meters
apart. If you count the floor that has a radius of 800 meters as Floor 0, then the
next floor up (Floor +1) would by 4 meters above the surface of Floor 0. There
would then be Floor -1 4 meters down from Floor 0. This would continue until
you reach the top or bottom floor, where there is at least 4 meters but less than
8 meters to the top or bottom of the sphere. Obviously the top and bottom
floors would have the (same) smallest area, while Floor 0 would have about 2
million square feet.
My problem is figuring out the total area of all of the floors, or for that
matter, any particular floors or the total number of floors (the total of all the
+ floors, the - floors (these numbers will be the same) plus Floor 0.
Ed Penny Nom lui répond. |
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How far is the airplane from the control tower? |
2009-01-17 |
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Murtaza pose la question : An aircraft is vertically above a point which is 10 km west and 15 km north of a control tower. The aircraft is 4000 m above the ground, how far is it from the control tower? Penny Nom lui répond. |
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The 2 rightmost digits |
2008-12-18 |
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Peter pose la question : Is there a pattern for the 2 rightmost digits of a power? For example, one problem for a math competition was what are the 2 rightmost digits of 3^1993? Robert Dawson and Victoria West lui répond. |
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Insulation in an attic |
2008-11-18 |
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Scott pose la question : A homeowner wishes to insulate her attic with fiberglass insulation to
conserve energy. The insulation comes in 40-cm-wide rolls that are cut
to fit between the rafters in the attic. If the roof is 6 m from peak to eave
and the attic space is 2 m high at the peak, how long does each of the
pieces of insulation need to be? Round to the nearest tenth. Harley Weston lui répond. |
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A right triangle |
2008-09-25 |
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john pose la question : a right triangle has hypotenuse wich measures 20cm and a perimeter 47cm. find the measure of the remaining two sides Harley Weston lui répond. |
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Consecutive Even Integer Sides of a Triangle |
2008-09-24 |
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Brad pose la question : I am having a problem coming up with a formula for my son's eighth grade math problem.
We have found the answer by guess and check but have a mental block on the equation.
Any help would be appreciated.
The problem is: A right triangle has sides whose lengths in feet are consecutive even intergers. Determine the length of each side.
Thanks Janice Cotcher lui répond. |
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The Intermediate Value Theorem |
2008-09-16 |
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A. pose la question : When dealing with the intermediate value theorem you have the function x^2. It bounces on the axis so you can't tell if lies on the interval [a,b]. So is the ivt proven false or does the ivt not tell you all the roots for sure. Harley Weston lui répond. |
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The perimeter of an equilateral triangle |
2008-09-11 |
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Gerry pose la question : How can I find the perimeter (length of side) of an equilateral triangle if the only information I have is the altitude? Penny Nom lui répond. |
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A square with diagonal 200 metres |
2008-08-20 |
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kelvin pose la question : find the are and perimeter of a square with diagonal of 200 meters? Penny Nom lui répond. |
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Limit as it Approaches Infinity |
2008-07-29 |
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mary pose la question : i was trying to find the limit of this problem
the limit as x approches infinity of x minus cosx divided by x
lim x-cosx/x
x->oo Harley Weston lui répond. |
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The length of a side of a square |
2008-07-27 |
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FRANK pose la question : WHAT IS THE LENGTH OF ONE SIDE OF A SQUARE WITH A DIAGONAL OF LENGTH 2 TO THE HALF POWER Stephen La Rocque lui répond. |
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The product of the digits of a four digit number |
2008-07-26 |
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Pete pose la question : I am a student preparing for a competition and this was one of the prep problems: The product of the digits of a four digit number is 6x5x4x3x2x1. how many such numbers are there with this property? Stephen La Rocque lui répond. |
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How far away is the horizon? |
2008-06-13 |
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Ali pose la question : A plane is 10km above the earths surface, and you want to know how far away the horizon is, you know that the radius of the earth is about 6400km, how far away is the horizon along the earth's curved surface. My teacher has drawn a diagram; a circle representing the earth with one vertex at the center of the earth, another vertex outside the cirlce representing the plane (the distance between the earth and plane is 10km) and the last one is on the circle representing the horizon. Could you please explain how I would solve this problem, thanks! Penny Nom lui répond. |
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4x^3 - 6x + 2 = 0 |
2008-05-28 |
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paul pose la question : 4x^3 - 6x + 2 = 0 Janice Cotcher lui répond. |
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What is the length of the 3rd side? |
2008-05-23 |
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lee pose la question : If you have a triangle 12ft across the bottom then on the right is a 90 degree
angle and that side is 18ft tall. What is the length of the 3rd side? Penny Nom lui répond. |
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A right angled triangle |
2008-05-16 |
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bryan pose la question : The sides of a right angled triangle are x, x+1, x+2 cm. Find the perimeter. Penny Nom lui répond. |
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The factor theorem |
2008-05-06 |
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Nomaan pose la question : factorise
x³-2x²-x+2
using factor theorem Penny Nom lui répond. |
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The Pythagorean theorem with triangles rather than squares |
2008-04-29 |
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Zachary pose la question : I need to figure out how to prove the pythagorean theoorem using equilateral triangles
instead of using square. I know that A^2+B^2=C^2, but how do you get that by using equilateral
triangles. I know the area of a triangle is BH1/2=Area. So what i need to know is how to derieve the
formula of a triangle to get the pythagorean theorem Penny Nom lui répond. |
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Find the length and the width of the rectangle |
2008-04-24 |
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Vickie pose la question : A rectangle is 2 times longer than it is wide. It has a diagonal length of 50 centimeters. Find the length and the width of the rectangle. Round your answers to the nearest tenth. Show your work. Penny Nom lui répond. |
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A 30-60-90 triangle |
2008-04-16 |
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Ron pose la question : 30-60-90 triangle. Base is 2.75 how do I find the length of the other two sides? Penny Nom lui répond. |
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Factor 2x^3 + 3x^2 - 32x + 15 |
2008-04-02 |
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sarah pose la question : I have a course review I'm working on and I'm not sure how I'm supposed to factor the following
2x^3 + 3x^2 - 32x + 15. Penny Nom lui répond. |
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How far is she from her starting point? |
2008-03-30 |
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Nancy pose la question : A child runs due east for 23.5m and then she runs 10.5m due south. How far is she from her starting point? Stephen La Rocque lui répond. |
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How would I factor 2x^3 + 11x^2 - 7x - 6? |
2008-03-22 |
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Sean pose la question : How would I factor this polynomial?
2x^3 + 11x^2 - 7x - 6 Stephen La Rocque lui répond. |
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The area of a right triangle |
2008-03-19 |
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Tate pose la question : I need to find the area of a right triangle. I already know that the formula would be a squared + b squared = c squared. However, I only have the length of the hypotenuse and the base. Victoria West lui répond. |
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The diagonal of a rectangle |
2008-02-21 |
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tim pose la question : is there a formula for finding the diagonal of a rectangle? Penny Nom lui répond. |
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A triangle and a rectangle |
2007-12-14 |
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Someone pose la question : A certain triangle has sides that are, respectively, 6inches,
8inches, and 10 inches. A rectangle with a n area equal to that of the triangle
has a width of 3 inches. What is the perimeter of the rectangle, in inches. Penny Nom lui répond. |
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A wiffleball field |
2007-10-31 |
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Svitlana pose la question : The Adam's family has set up a wiffleball field in their backyard. The bases are arranged like a typical baseball diamond, where the distance between consecutive bases is the same. First base is opposite of third base, and second base is opposite of home plate. The distance between consecutive bases is 50 feet. Now, the pitcher stands 25 feet from home plate and lies on the line between home plate and second base. How far is the pitcher from first base? Round your answer down to the nearest inch. Penny Nom lui répond. |
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How to solve related rates problems |
2007-10-27 |
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David pose la question : Can you plz explain how and where you come up with an equation to solve this?
Find the rate of change of the distance between the origin and a moving point on the graph of y = sin x if dx/dt = 2 centimeters per second. Stephen La Rocque lui répond. |
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Finding radius given chord length and distance to center |
2007-10-04 |
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Venus pose la question : a chord of 48mm long is 7mm from the center of the circle. What is the radius of the circle? Stephen La Rocque lui répond. |
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Three circles |
2007-09-29 |
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Kevin pose la question : 3 given circles of R80, R56 & R24 are all in contact. The 2 smaller ones are inscribed in the big one.
Find by calculation or graphically (both if possible) the radiusof a 3rd circle which will be in contact with all 3 given circles. Chris Fisher lui répond. |
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A geometry problem |
2007-08-20 |
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samhita pose la question : ABC is a triangle. Let D be a point on side BC produced beyond B such that BD=BA. Let M be the mid-point of AC. The bisector of angle ABC meets DM at P. Prove that angle BAP=angle ACB. Chris Fisher lui répond. |
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Diameter of an octagon |
2007-08-07 |
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Bree pose la question : I am trying to find the diameter of a octagon with 20' sides . What formula do I use? Stephen La Rocque lui répond. |
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Find the area of a regular pentagon inscribed in a circle |
2007-08-03 |
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Tracy pose la question : Can you please help me with finding the area of a regular pentagon inscribed in a circle using the Pythagorean theorem. The radius of the circle is 5 cm and each side AB = BC = CD = DE = EA = 6 cm. Stephen La Rocque, Leeanne Boehm and Chris Fisher lui répond. |
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A problem concerning the medians of a triangle |
2007-08-01 |
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leeja pose la question : In a triangle ABC the sides BC and AC are given. It is also known that
the medians to these sides are perpendicular to each other. Calculate the
length of AB in terms of the other two given sides. Chris Fisher lui répond. |
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Building a garage |
2007-07-29 |
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charles pose la question : I want to build a garage that is 24 feet 4 inches wide by 50 feet long.
can you please tell me what the length of one corner is to the other? Penny Nom lui répond. |
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Some trig problems |
2007-07-20 |
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Jocelyn pose la question : I wasn't able to solve this equation:
only find the function using Pythagorean theorem
Please help me....
sinA = 3/4 find secB
tanA = 3/4 find cosA
sinB = 4/5 find tan A
cosA = 5 find csc A
b =5; a= 12 find sin A
c =25; a = 24 find cot A
a = 6; c =10 find b?
Find B when c = 25; a = 24
Find A when a = 5 and b = 12
csc = 1/2 find cos Penny Nom lui répond. |
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An oblique triangle |
2007-07-19 |
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fhay pose la question : In an oblique triangle, If side a=95, side b=102 and side c = 150 find the missing angles solved by right angles...Thank's a lot...... Penny Nom lui répond. |
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The volume of a cube |
2007-06-23 |
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Leah pose la question : I am having trouble finding the equation for this problem.:
What is the volume of a cube with diagonals of length 6 sqrt(3) cm?
answer: (BLANK) cm3 Penny Nom lui répond. |
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Using the Pythagorean Theorem |
2007-06-18 |
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cynthia pose la question : Hi,
If I have a question with a right triangle and it asks....
If ABC is say 400 miles. How much shorter will the miles be if I travel
from BC?
I don't exactly remember the question but, I would I solve a problem
similiar to this one? Stephen La Rocque lui répond. |
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A circle inside a square |
2007-05-31 |
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Mer pose la question : there is a circle inside a square... there is a shaded rectangle that measures 5mm X 10mm and they want to know what the radius is. The edge of the shaded rectangle touches a point on the circle. Penny Nom lui répond. |
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A point on a semicircle |
2007-05-28 |
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arun pose la question : a semi circle is drawn with ab as diameter from p a point on ab a line perpendicular to ab is drawn meeting circumference of semi circle at c, ac = 2cm, cd = 6cm find area of the semi circle? Penny Nom lui répond. |
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The area of a pyramid |
2007-04-28 |
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Alexander pose la question : Total area of the plate required to fabricate a vessel(pyramid) the base is 0.6mx0.6m and height of 1.0m. Stephen La Rocque lui répond. |
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Division of polynomials |
2007-04-14 |
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Rajendra pose la question : Find the remainder when x3+3x+1 is divided by x+pi Penny Nom lui répond. |
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How far apart are the cars? |
2007-04-07 |
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ian pose la question : 2 cars set off in opposite directions and travel for 6 miles,
they both take a left turn, and travel for a further 8 miles...........
how far apart are the cars???
a) 10 miles
b) 22 miles
c) 20 miles
d) 18 miles Penny Nom lui répond. |
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The Pythagorean theorem |
2007-04-04 |
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Cassandra pose la question : how do u find a and/or b using the Pythagorean theorem of a right triangle? Leeanne Boehm lui répond. |
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(x+2) is a factor of x^3+bx^2-14x+24. Find the value of b? |
2007-03-11 |
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victoria pose la question : hi my names victoria and i have been stuck on this question for ages can you please help me! (x+2) is a factor of x^3+bx^2-14x+24. Find the value of b? Penny Nom lui répond. |
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Finding the vertical height of a roof |
2007-03-05 |
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Zainab pose la question : The question is: If the vertical height if a triangle is half the width of the base and the slant length is 6 metres, find the exact vertical height of this part of the roof. I'm actually confused about finding out the height of an equilateral triangle if you're only given the length or slant height. Please help! O.o Stephen La Rocque lui répond. |
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The factor theorem |
2007-03-04 |
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Sophia pose la question : hi this is sophia, 10th grade from the philippines. im really having a hard time in factor theorem im just asking if you could help me solve these problems because i really dont have an idea on how to do solve these.. please
find the values of A and B so that (x+3) (x-2) are both factors of x^3+Ax^2+Bx-12
and
find the values of A, B, and C so that (x-3) (x+1)and (x-2) factors of P(x)=x^4+Ax^3+Bx^2+Cx+12
please help me.. i really do not understand these problems Penny Nom lui répond. |
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a^2 + b^2 = c^2 |
2007-03-04 |
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Colburn pose la question : 27 feet long base 14 feet height what is the diagonal Stephen La Rocque lui répond. |
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Line segments on dot paper |
2007-01-21 |
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Khaori pose la question : The three line segments below are drawn on centimeter dot paper.
a. Find the length of each segment to the nearest ten-thousandth of a centimeter. b. Could these line segments be arranged to form a triangle? If no, explain why or why not. If yes, answer this question: could they form a right triangle? Explain why or why not. Penny Nom lui répond. |
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A rhombus |
2006-12-26 |
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Jose pose la question : show mathematically that a quadrilateral whose vertices are A(2,1),B(6,-2) C(10,1),and D(6,4) is a rhombus Penny Nom lui répond. |
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The Pythagorean theorem |
2006-12-12 |
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Beth pose la question : In a pythagorean theorem can the sides of a right triangle be three consecutive odd integers Stephen La Rocque lui répond. |
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Rolle's Theorem |
2006-12-07 |
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Erika pose la question : If f(x) = (x^2)(square root of [3-x]) on the interval [0,3] is given, Does Rolle's Theorem apply? If yes, find any values of c such that f '(c)=0 Penny Nom lui répond. |
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When kx^2+3x+1 divided by (x-2) the remainder is 3 |
2006-11-09 |
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Brianna pose la question : For the dividend, find the value of k if the remainder is 3. (kx^2+3x+1) divided by (x-2) Penny Nom lui répond. |
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The height of a triangle as a function |
2006-10-19 |
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Ryan pose la question : Let 2s denote the length of the side of an equilateral triangle. Express the height of the triangle as a function of s Penny Nom lui répond. |
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The hypotenuse |
2006-10-02 |
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Ashley pose la question : How do you find the hypotenuse of a right triangle? I don't understand how to find c. Stephen La Rocque lui répond. |
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X^1/3-X^1/9=60 |
2006-09-26 |
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Harini pose la question : I need the answer for
The value of X in X^1/3-X^1/9=60. Penny Nom lui répond. |
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I need to cut an octagon |
2006-09-23 |
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Freddie pose la question : I have a 48 inch square piece of wood that I need to cut into an octagon, help. What's an easy way to just measure and cut it. Penny Nom lui répond. |
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The length of 2 sides of a triangle |
2006-09-15 |
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Lonnie pose la question : I need to know how to figure the length of 2 sides of a triangle, as the following example:
The length of the bottom is 12' and the angles are 45, 45 I need to know how long the other 2 sides must be to get an angle of 90 at the top. Stephen La Rocque lui répond. |
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Square roots in a binomial expansion |
2006-09-11 |
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Sydney pose la question : (√x + 5)4 expanded using the binomial theorem Penny Nom lui répond. |
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What are the 3rd and 4th terms of (2x-y)^7? |
2006-06-18 |
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April pose la question : What are the 3rd and 4th terms of this sequence: (2x-y)7?
I'm having an issue with this...is there any easier way to get it without completely factoring the whoooole thing out? Penny Nom lui répond. |
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Designing a garage |
2006-06-08 |
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A builder pose la question : I'm currently designing a garage and came upon this interesting math problem. I've tried using various methods to solve it but have so far been unsuccessful. I've included a picture as its far easier to show you my question than explain it verbally. I realize it could be done by trial and error but i'm looking for a real solution. Stephen La Rocque and Penny Nom lui répond. |
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A triangle problem |
2006-05-18 |
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Jim pose la question : Right angle triangle with a hypotenuse of 20 units.
Square inside the triangle with sides of 4 units, the square shares two sides with both legs of the triangle, and the corner touches the hypotenuse limiting the triangles size. Penny Nom lui répond. |
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The Pythagorean relation |
2006-05-09 |
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Vicky pose la question :
How do you the Pythagorean relation to find the length of the hypotenuse x to one decimal place?
x2 = 3.62+ 5.32
My teacher, Mr. Mutrie, wants to know what this means?
SOH CAH TOA
Harley Weston lui répond. |
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Cutting an octagon from a square |
2006-05-07 |
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Veronica pose la question : 1.A regular octagon is to be cut out of a square piece of metal which has sides of 1 metre. What will be the length of the sides of the octagon?
2.What will be the area of the octagon? Penny Nom lui répond. |
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Pythagorus and cone dimensions |
2006-04-26 |
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Glynnis pose la question : How do you find the measure of a side that is not the hypotenuse using the Pythagorean Theorem? Also, how do you figure the surface area and volume of a cone when the radius is 5 yards and the height is 8 yards? Stephen La Rocque lui répond. |
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The perimeter of a regular octagon |
2006-04-20 |
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Martin pose la question : I would like to make an octagon out of 2x4 lumber. I know that the lumber needs to be cut at 67.5 degree angles, but how do I determine the length of each piece if I want to make, say, a 2.5 ft diameter octagon? Stephen La Rocque lui répond. |
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x^2+2x-3 is a factor f(x)=x^4+2x^3-7x^2+ax+b |
2006-04-06 |
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Maha pose la question : Given that x2+2x-3 is a factor f(x)=x4+2x3-7x2+ax+b, find a and b and hence factor f(x) completely. Penny Nom lui répond. |
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The area of a block of land |
2006-03-26 |
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Ronald pose la question :
I have a building block of land with four unequal sides and only one right angle. I want to know the total area (in metres) and how the calculations were carried out.
The four sides are: Rear of property: 9.14 metres
left side: 36.9 metres
Right side: 32.61 Metres
front to street: 27.43 Metres
The front to street and right side constitute a right angle. but there are no others. Penny Nom lui répond. |
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A 25 foot ladder is leaning against a building. |
2006-03-24 |
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Ali pose la question : A 25 foot ladder is leaning against a building. The base of the ladder is 7 feet from the building. How high up the building does the ladder reach? Stephen La Rocque lui répond. |
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f(x) is a polynomial of degree 3. |
2006-03-13 |
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Meadow pose la question : f(x) is a polynomial of degree 3. It leaves a remainder of 10 and 4 when divided by
x + 1 and x - 2 respectively. Given also that f(1) = f(-2) = 0, find the remainder when
f(x) is divided by x - 3. Penny Nom lui répond. |
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Factors of a cubic |
2006-03-08 |
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Skye pose la question : Show that (x+2) is a factor of f(x) where:
f(x) = px3 + (4p+2)x2 + (5p+4)x + 2p
Find the range of values for which the equation f(x) = 0 has 3 distinct real roots Penny Nom lui répond. |
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The third side of a triangle |
2006-02-09 |
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Clayton pose la question : How do I find the length of the third side of a triangle if a=30m, b=30m and I need to find c? Steve La Rocque and Penny Nom lui répond. |
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An irregular octagon |
2006-01-20 |
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Robert pose la question : I am building a poker table which is in the shape of an irregular octagon. I know the table measures 72 inches long and 48 inches wide with two parallel straight sides of equal length and six smaller sides of equal length ( three at each end of the table), what I don't know are the lengths of the any of the sides. Harley Weston lui répond. |
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The height of a triangle from the lengths of the sides |
2006-01-16 |
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A student pose la question : How do you figure out the height of a triangle when all you have is the length of the sides of the triangle? Claude Tardif lui répond. |
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The area of an octagon |
2006-01-03 |
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Nikki pose la question : I want to figure out the square footage of an octagon. i have 8 panels that are 24" wide. Its for my dogs and i wanna know how much room they'll have. Penny Nom lui répond. |
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The Mean Value Theorem |
2005-12-22 |
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Candace pose la question : Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Find all numbers "c" that satisfy the Mean Value Theorem. 11. f(x)=3x2 + 2x +5 [-1, 1] Penny Nom lui répond. |
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Folding a sheet of paper |
2005-12-15 |
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Victoria pose la question : The current problem is to take a normal 8 1/2 x 11 sheet of paper, take a corner and fold it to meet the opposite corner, and (without actually measuring) produce a formula to describe the result fold/crease. Penny Nom lui répond. |
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The sides of an octagon |
2005-11-02 |
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Royce pose la question : I understand there is a simple calculation to determine the sides of an octagon when you know the distance across the parallel flats. something like .447 . can you help? Penny Nom lui répond. |
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A cube in a sphere |
2005-10-19 |
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Damian pose la question : A sphere passes through the eight corners of a cube side 10cm. Find the volume of the sphere. Penny Nom lui répond. |
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A line that intersects a circle |
2005-10-18 |
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Bruce pose la question : I would like to solve the following problem illustrated below. How do you calculate the length of a line that intersects a circle. Penny Nom lui répond. |
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The remainder theorem |
2005-10-07 |
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Ron pose la question : If f(x) is divided by (x-3), the remainder is 5, and if it is divided by (x+1), the remainder is -3. Find the remainder when f(x)is divided by (x-3)(x+1). Chris Fisher lui répond. |
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City A is 30 miles directly north of City C |
2005-10-04 |
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A student pose la question : City A is 30 miles directly north of City C, and City B is 40 miles directly east of City C. Cities A and B are connected by a straight road. Find the length of the shortest path from City C to the road that connects A and B. Penny Nom lui répond. |
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The length of the side of an octagon |
2005-09-22 |
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Billy pose la question : How can you find the length of the side of an octagon when all that you know are the long sides of one of the eight perfect isc. triangles inside the octagon that share the same center point? Penny Nom lui répond. |
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The area of a lot |
2005-08-29 |
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Richard pose la question : My wife and I are interested in buying property in Idaho but the owner can't give us a square footage of the lot. The dimensions are as follows:
121.0 on the left side
157.0 on the right side
135.0 on the bottom
162.0 on the top
The bottom right corner of the lot is a true right angle, the rest are not. Penny Nom lui répond. |
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Constructing a fence |
2005-08-09 |
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Andres pose la question : I was constructing my fence and was having some problems trying to do a perfect (or as close as possible) arch. If i know a section of a fence is for example 85 inches wide and I want a 4 inch rise from the top rail how do i figure out the radius? Penny Nom lui répond. |
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An algebraic remainder |
2005-06-22 |
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Raymond pose la question : Given that 4x3 - kx is divisible by 2x+1, find the remainder when the expression is divided by 4 - x2. Penny Nom lui répond. |
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arccos(5/13) |
2005-05-31 |
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Kyle pose la question : I would like to know how to evaluate the problem of: Arccos 5/13. Penny Nom lui répond. |
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The area of an octagon |
2005-05-21 |
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Jeremy pose la question : i need to find the area of an octagon with each side measuring 1 foot Penny Nom lui répond. |
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A right triangle |
2005-05-18 |
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Bill pose la question : If I know the base and the slanted side of a right triangle, how do I figure out the height? Penny Nom lui répond. |
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Bayes Theorem |
2005-04-03 |
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wei pose la question :
In the January 11,1988,issue of the Oil&Gas Journal, R.A.Baker
describes how the Bayesian approach can be used to revise probabilities
that a prospect field will produce oil. In one case he describes,
geological assessment indicates a 25% chance the field will produce
oil. Further,there is an 80% chance that a particular well will strike
oil given that oil is present on the prospect field.
- Suppose that one well is drilled on the field and
it comes up dry. What is the probability the prospect field will
produce oil?
- If two wells come up dry, what is the probability
the field will produce oil?
- The oil company would like to keep looking as long
as the chances of finding oil are greater than 1%. How many dry wells
must be drilled before the field will be abandoned
- If the first well produces oil,what is the chance
the field will produce oil?
Andrei Volodin and Penny Nom lui répond. |
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Dimensions of a roof |
2005-03-18 |
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A roofer? pose la question : A right triangle (roof of a house) has a base of 7 feet and a 22 degree angle. What is the height of the roof and what is the hypothenus of the triangle. Penny Nom lui répond. |
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A diagonal in a cube |
2005-03-06 |
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Brett pose la question : A cube has a volume of 64 cubic inches. What is the length of segment AB? Segment AB is a straight line from the top left corner of the cube to the lower right bottom corner Penny Nom lui répond. |
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Stewart's Theorem |
2005-01-17 |
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Amy pose la question : In triangle ABC, AB=4, AC=6 and AD=5, where D is the midpoint of BC. Determine BC. Chris Fisher lui répond. |
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A right triangle |
2004-11-24 |
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Bruce pose la question : In triangle ABC.
Angle ABC is 90 degrees.
Side AB measures 34.
Side BC measures 31.
What does side AC measure? Penny Nom lui répond. |
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Practical applications: parabolas and Pythagoras |
2004-10-24 |
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Connie pose la question : Provide two examples of real life objects that incorporate parabolic shapes. Explain the reason why the parabolic shape was used in each object.
I need at least one practical application of the Pythagorean Theorem. Penny Nom lui répond. |
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Pythagoras in everyday life |
2004-10-13 |
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Tiffany pose la question : I was wondering if you have any real-life uses of the pythagorean theorem that you use in your everyday life. Penny Nom lui répond. |
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A theorem involving a trapezoid |
2004-09-29 |
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Abraham pose la question : Given:Trapezoid ROSE with diagonals RS and EO intersecting at point M
Prove:Diagonals RS and EO do not bisect each other. Harley Weston lui répond. |
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The area of a lot |
2004-09-29 |
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Deb pose la question : I am trying to figure out how many square feet are in a piece of property. Start at Point A-then go 140 feet north-then 100 feet due east-then 300 feet at an angle southeast so that connecting to point A would be a straight line (right angle to first line north.) Penny Nom lui répond. |
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The length of a cut |
2004-09-17 |
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Florita pose la question : My daughhter, who is a 9th grader is attempting to cut a piece of wood after determining the length of the cut for the hypotenuse. These are the measures:
a=4squared, b=6squared.
She determined that c should equal 52. But when she measured the actual piece to be cut, c measured 39.5 inches! Can you offer any insight as to what she is doing wrong? I have suggested that she may be working with an Acute rather than a Right angle . But she insists that it is a Right angle after using a "framing square". Claude Tardif lui répond. |
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A cube is inscribed inside a sphere |
2004-08-18 |
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A student pose la question : A cube is inscribed inside a sphere with radius sqrt8cm. Find the
(a) length of the cube
(b) volume of the space inside the sphere but outside the cube. Penny Nom lui répond. |
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An Octagonal playhouse |
2004-07-13 |
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Levi pose la question : I'm building an octagon playhouse for my son that is 8 feet wide.
what would be the measurements of each of the eight sides. Harley Weston lui répond. |
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How far apart are they? |
2004-05-23 |
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A student pose la question : 2 cars start at same loc. drive opposite direction for 6 miles then they each turn left and travel for 8 miles how far apart are they? Penny Nom lui répond. |
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A stained glass window |
2004-03-29 |
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Kay pose la question : I'm doing a stain glass project and it's on a 4 foot across octagonal window...and I'm trying to set up the pattern and I don't know how long the sides are! Penny Nom lui répond. |
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A water lily |
2004-03-17 |
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Inba pose la question : A water lily with a rigid stem extends one foot above the surface of the water. When pulled over, it disappears beneath the water at a distance 3 feet from where the stem originally entered the water. How deep is the pond? Penny Nom lui répond. |
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The factor theorem |
2004-03-08 |
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LisaMarie pose la question :
Hi, I have a career link question from gr.12 advanced functions
and intro. calculus. The equations is:
R(t) = 5(t4 - 4t3 +
19/4 t2 - 3/2 t)
The question is to apply the factor theorem
and quadratic formula to determine the times it crosses the t axis. The
only method i know of for using the factor theorem is when the last number
does not have a variable beside it so i'm not sure how you would even
use the factor theorem for this? We haven't dealt with any that have 0 as
the last number with no variable so i'm a little confused! please help!
Thank you
Penny Nom lui répond. |
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Napoleon's theorem |
2004-02-27 |
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David pose la question : How do i prove this : For any triangle, if you make 3 equillateral triangles
using the sides of the the original triangle, the central points of the 3
tringles another triangle that is equillateral.z Chris Fisher and Penny Nom lui répond. |
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Bundles of asphalt shingles |
2004-01-24 |
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Larry pose la question : According to my study material 4:12 multiplying factor for shingles is 1.054. The question reads as follows: A building with a floor plan of 3350 sq. ft. and a roof slope of 4:12 will require _______ bundles of standard asphalt shingles. Harley Weston lui répond. |
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The volume of a cube |
2003-11-22 |
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A student pose la question : i have a cube, and the line that cuts threough the middle of the cube across to the other side is 4 radical6. what is the volume of the cube? Penny Nom lui répond. |
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A rectangle on a disk |
2003-10-29 |
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Arthur pose la question : How do I go about solving the following problem: What is the width of the largest rectangle with a length of 16 inches you can cut from a circular piece of cardboard having a 10 inch radius? Penny Nom lui répond. |
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The general equation for a sphere |
2003-09-11 |
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Jaidev pose la question : Is there any general equation for a sphere? Penny Nom lui répond. |
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A 16 foot ladder |
2003-09-04 |
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Kelly pose la question : Two buildings are separated by a three-foot alleyway. Fatima wants to use a 16 foot ladder to reach a window in the wall of one of these buildings. If she places the foot of the ladder against the base of the other building, how far up the wall will the top of the ladder reach?? Penny Nom lui répond. |
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Newton's binomial theorem |
2003-08-30 |
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William pose la question : According to page 126 of Murtha & Willard's "Statistics and Calculus" (Prentice-Hall, 1973), Newton's binomial theorem can proved inductively. I suppose that was his method, which I would like to see. Penny Nom lui répond. |
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Two cars |
2003-07-09 |
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Nicole pose la question : Two cars start off at the same point on a striaght highway facing opposite directions. Each car drives 6 miles, talkes a left turn, and drives for 8 miles. How far apart are the two cars. Penny Nom lui répond. |
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The height of an equilateral triangle |
2003-04-06 |
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Rosa pose la question : If Each side of an equilateral triangle is 10 m. What is the height? Penny Nom lui répond. |
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Friends and enemies |
2003-03-24 |
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Becky pose la question :
Consider a room that contains six people. Any two people are either friends of each other, or they are enemies. A. Argue why there are three people, all who are friends, or there are at least three people, all who are enemies
B. Rephrase the situation using graph terminology, using all of these terms correctly: vertex, edge, graph, complement, clique, independent set, and bipartite. Penny Nom lui répond. |
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A triangle and a circle |
2003-03-21 |
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Jynks pose la question : We need a formula that we can use to figure this out for work. We aren't math wiz's or students. Basically we know 3 points in space of a triangle, we know the length of each side and the length of the line from apex to base line. Each point of the base line ends upon the circumference of a circle. IS three a way to work out the radius of that circle. Penny Nom lui répond. |
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Factoring |
2003-02-04 |
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Marcin pose la question : I am having a really hard time with the factor theorem. Can you please help me with the following? (a'3 means a to the exponent 3)
a)8a'3+64b'3c'6 b)8x'4-12x'3-44x'2+24x c)x'4-21x'2-100
Penny Nom lui répond. |
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Factoring a cubic |
2002-12-05 |
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Dorota pose la question : I got a problem with factorise the expression 2x3+11x2-5x-50. Penny Nom lui répond. |
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The height of a triangle |
2002-11-29 |
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Dean pose la question : Could you please tell me the formular for me to calculate the height of a triangle. I have the angles and side lengths. I am trying to calculate the height of an isosceles triangle, does this make a difference from a normal triangle or is the formular the same. Penny Nom lui répond. |
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The four colour theorem |
2002-10-27 |
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Rhonda pose la question : is there an actual equation for the four colour map theorem??? i cannot find it anywhere!! if so can you give a breif description on how it works!! Penny Nom lui répond. |
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Pythagoras in three dimensions |
2002-10-14 |
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Miki pose la question : A room is 6m long, 5m wide and 3 m high. Find the distance from the corner of the floor to the opposite corner of the celing. Peny Nom lui répond. |
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The factor theorem |
2002-09-10 |
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Yael pose la question : Prove (x - a - b) is a factor of x3 - a3 - b3 - 3ab (a + b) Penny Nom lui répond. |
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A limit |
2002-09-03 |
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Circe pose la question :
Lim 3x 3+ax+a+3 /(x 2+x-2), X->-2 Penny Nom lui répond. |
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Overlapping circles |
2002-05-29 |
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Naman pose la question : There are two circles, big circle with radius R and small one with radius r. They intersect and overlap in such a way that the common area formed is 1/2 pi r 2 (half the area of the small circle) If r=1, find the Radius of the big circle (R)? Harley Weston lui répond. |
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Bob swam across a river |
2002-05-22 |
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Torri pose la question : Bob swam across a river 420 ft wide. A strong current carried him 580ft downstream as he swam. Find x, the distance bob actually swam. Penny Nom lui répond. |
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An octagon-shaped deck |
2002-02-20 |
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An instructor pose la question : How can you solve for finding the side measurements of an octagon-shaped deck that is 10 feet long and 10 feet wide. Penny Nom lui répond. |
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A degree 5 polynomial |
2002-02-17 |
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Carla pose la question : Write an equation for a polynomial of degree 5 given the following zeros: -7+3i, -2+sqrt(13), 6 Penny Nom lui répond. |
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Rolling 5 sevens before rolling a six or an eight |
2002-01-20 |
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Tony pose la question : When rolling 2 dice, what is the probability of rolling 5 sevens before rolling a six or an eight? Andrei Volodin and Penny Nom lui répond. |
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Multinomial theorem |
2001-11-28 |
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Murray pose la question : Could you please state and explain the multinomial theorem (I already know the binomial theorem etc, to give you an idea of where i am) Harley Weston lui répond. |
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A clap of thunder |
2001-11-15 |
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Frustrated Mom pose la question : While getting a recipe for the Thanksgiving feast. The teacher was talking on the phone with a friend who lives four miles north of her. She saw a flash of lightning through the window: fifteen seconds later, she heard a clap of thunder. Ten seconds after that she heard the thunder over the phone. Where did the lightning strike in relation to the teacher's house. (There are two possible answers. Sound travels about 1/5 mile per second. Some people say it's not good to be on the phone in a thunderstorm). Claude Tardif and Penny Nom lui répond. |
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Lucas' theorem |
2001-10-09 |
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Tania pose la question : How could I demonstrate: nCp is congruent to floor(n/p) (modulo p)? where rCk is a binomial coefficient, rCk = r(r-1)...(r-k+1)/k(k-1)...1, and p is a prime number Richard McIntosh lui répond. |
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The Mean Value Theorem |
2001-07-23 |
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Corrie pose la question : I need to find if the mean value theorem exists. and if so, find all values c guaranteed by the theorem. f(x) = |x2-25| on the interval [-10,0] Harley Weston lui répond. |
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Dots on squared paper |
2001-03-30 |
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Tom pose la question : Consider some squared paper with lines 1cm. apart and dots where the lines cross. Place squares whose sides are whole numbers of centimetres on the paper in such a way that the sides of the squares always lie along the lines on the paper. For each square, find (a)the number of points inside the squares; (b)the number of points on the square and (c)the area of the square. How are these quantities related? Leeanne Boehm and Penny Nom lui répond. |
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The hypotenuse of a right triangle |
2001-01-22 |
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Phillipe pose la question : How do you find the hypotenuse of a right triangle? Penny Nom lui répond. |
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The Pythagorean Theorem |
2001-01-08 |
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Megan pose la question : Why the Pythagorean Theorem so important in our lives and what is it's history? Penny Nom lui répond. |
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The pythagorean theorem in everyday life |
2001-01-06 |
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Josh pose la question : What are some ways that we use the pythagorean theorem in jobs, or even in everyday life? Claude tardif lui répond. |
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Two geometry problems |
2000-09-09 |
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Becky pose la question : What are all the real values of x that are solutions for the inequality [x-2] < 6? ( it's less than or equal to) What is the distance between the points with (x,y) coordinates (3,-2) and (-3,-1)? Peny Nom lui répond. |
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Central Limit Theorem and Law of Large Numbers |
2000-06-26 |
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Jonathan Yam pose la question : The Central limit Theorem states that when sample size tends to infinity, the sample mean will be normally distributed. The Law of Large Number states that when sample size tends to infinity, the sample mean equals to population mean. Is the two statements contradictory? Paul Betts and Harley Weston lui répond. |
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4 Color map Theorem |
2000-06-02 |
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Rick Slen pose la question : I am challenging my students to find a map that can not be coloured using only 4 colours. I know that it is not possible, but one boy drew a map with a "country" totally surrounding all the others so of course it touched all other colours. How do I explain that this type of map is not permissable? Denis Hanson lui répond. |
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Calculus Research Questions |
2000-05-22 |
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William Wright pose la question : I am a Calculus Teacher, and me and my class ran into these two problems without solutions in my manual, we got answers, but are unable to check them. If anyone gets this email and can respond to this with the solutions it be greatly appreciated. . . . Harley Weston lui répond. |
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The pythagorean theorem |
2000-05-19 |
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Lauren Fitzgerald pose la question : how do you find the length of th hipotnuse( or however you spell that word). i understand you have to add the two sides. but when i do add i always end up with this way off answer. i donot understand at all. Paul Betts lui répond. |
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Sylvester's Problem |
2000-03-23 |
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Sheryl Webb pose la question : I am trying to find a proof of the theorem: Given n points in a plane, there is a line that contains exactly two points. Chris Fisher lui répond. |
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The isoperimetric theorem |
2000-02-24 |
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Raj Bobal pose la question : How can you prove Mathematically that the maximum area enclosed by a given length is a circle? Chris Fisher lui répond. |
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Factoring by graphing |
2000-01-11 |
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Dylan Kirkwood pose la question : How can you factor a quadratic equation by graphing it? Penny Nom lui répond. |
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Solving a cubic equation |
1999-12-30 |
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Natalia pose la question : How can I solve: 2 x3 - x2 + x - 2 = 0 ??? Penny Nom lui répond. |
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The area of a garden |
1999-12-17 |
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Jessica Wells pose la question : Hi My name is Jessica Wells and I am 10 years old. I was hoping you could help me out wityh a question my dad gave me. It is if aq graden is 32cm in diameter and I want to know the area of it what process do I use? He's a math wiz so I need o show him that I'm smart too Penny Nom lui répond. |
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Two algebra problems |
1999-12-17 |
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Michael Standfest pose la question : If x+4 is a factor of 2x4+kx3-3kx2+6x-40, find k and Prove that n2-n is even for all n, using the proof of contradiction Penny Nom lui répond. |
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Advanced Calculus |
1999-12-07 |
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Kay pose la question : Hi, my name is Kay. Please help---these problems are driving me crazzzzy!!!! Your help would be greatly appreciated! - Let a,b be contained in R, a
- .
. . Claude Tardif lui répond. |
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Standard Deviation |
1999-07-11 |
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Anthony Fama pose la question : I have seen several answers to this question: If one standard deviation represents 68% of the population, what does two, three, four and five sigma [std deviation] represent? As stated, I have seen several different answers and thus, the impetus for my question. Harley Weston lui répond. |
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The Binomial Theorem for rational exponents |
1999-04-15 |
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Angela Evans pose la question : The full question is this: Isaac Newton generalized the Binomial Theorem to rational exponents. That is, he derived series of expansions for such expressions as (x+y)-3 (x+y)2/3 (x+y)5/6 What did Newton find? What are the first four terms of the series expansions of binomials above? How can this extended Binomial Thrm. be used to aid in calculations? Penny Nom lui répond. |
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Factoring |
1999-03-30 |
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Maggie Stephens pose la question : I don't know anything about factoring would you plese help me. 3x4 - 48 54x6 + 16y3 125-8x3 12x2 - 36x + 27 9 - 81x2 a3 + b3c3 I would greatly appreciate any help you can give me thanks. Jack LeSage lui répond. |
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Factoring polynomials |
1999-03-29 |
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Karen pose la question : I have been unable to factorise a polynomial equation and was wondering if you could please help. It is level (10-12) maths. The polynomial is x3 + x2 - 24x + 36 I have tried a few factorisation methods such as foctorisation by grouping but it won't work this polynomial. Please help. Jeff Walters and Jack LeSage lui répond. |
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Pythagorean theorem research project |
1998-12-31 |
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Mohammed Hasan pose la question : Hi my name is Mohammed Hasan. I am a math honors student in 8th grade. I have to do a research project in math. The only problem is that I have to do the research project at a 10th grade level. I am having trouble raising the project at a tenth grade level. Would you please kindly take your time to give me some tips and web sites that will help me raise the Pythagorean theorem to a 10th grade level. Jack LeSage and Walter Whiteley lui répond. |
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Dividing a Class |
1998-10-01 |
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Tom Barker pose la question : My eighth grade niece called with the following homework problem: A teacher wanted to divide her class into equally numbered groups. She tried to divide the class into groups of two, but was one student short. She tried to divide the class into groups of five, but was one student short. She tried to divide the class into groups of seven and was successful. What is the least number of students that were in her class? I know the answer is 49, but don't know how to prove it. I must be getting old if I can't solve eighth grade math problems. Your assistance would be appreciated. Penny Nom lui répond. |
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The Factor Theorem |
1998-01-18 |
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Dhruv Bansal pose la question : Hi, I'm a ninth grade student doing a math project for school. I'm trying to learn about various ways of solving 3rd and 4th degree polynomial equations using the remainder theorem, the factor theorem, and synthetic division. The books I have all mention x - r, which I know nothing about, not even how to get it. I would really appreciate any information on this. Thanks. Dhruv Bansal Penny Nom lui répond. |
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Two Questions |
1997-08-28 |
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Faye Tan pose la question : I am a trainee teacher. I would appreciate it very much if you could help me solve the following two problems which I think are meant for students at middle grade. 1. If a hen and a half lays an egg and a half in a day and a half, how many hens are needed to lay a dozen eggs in one day? 2. There are fewer than 200 passengers on a train. If they get off in pairs, one passenger will be without a partner. If they get off in groups of 3 or 4, there will still be one passenger left by himself. However, if they get off in groups of 5, no one will be left by themselves. How many passengers are there on the train? Penny Nom lui répond. |
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A Monte Carlo Procedure |
1997-04-23 |
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Donna Hall pose la question : A irregularly shaped object of unknown area A is located in the unit square 0<=x<=1. Consider a random point uniformly distributed over the square. Let X = 1 if the point lies inside the object and X = 0 otherwise. Show that E(X) = A. How could A be estimated from a sequence of n independent points uniformly distributed over the square? How would you use the central limit theorem to gauge the probable size of the error of the estimate. Harley Weston lui répond. |
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The Central Limit Theorem |
1997-04-21 |
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Donna Hall pose la question : A skeptic gives the following argument to show that there must be a flaw in the central limit theorem: We know that the sum of independent Poisson random variables follows a Poisson distribution with aparameter that is the sum of the parameters of the summands. In particular, if n independentPoisson random variables, each with parameter 1/n, are summed, the sum has a Poisson distributionwith parameter 1. The central limit theoren says the sum tends to a normal distribution, butPoisson distribution with parameter 1 is not normal. What do you think of this argument? Neal Madras lui répond. |
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Proofs |
1997-04-13 |
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Daniel pose la question : I'm having trouble understanding proofs. I don't know how to come up the answers on my own. I search through the book looking for the answer. I understand what they are doing, but I don't know how to do it. Walter Whiteley lui répond. |
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The normal distribution. |
1997-03-21 |
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Donna D.Hall pose la question : I am looking for a proof for the normal distribution. I suppose "proof" was not a good choice of words. What I am looking for is a way to "derive" the normal distribution in simple terms so that the most average teenager can see the logic. Can you help me? Harley Weston lui répond. |
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Triangles, The Pythagorean Theorem and Pizzas. |
1997-02-23 |
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Sherryle Mathis pose la question : I am a graduating senior presently teaching geometry as part of my student teaching. I will do my CUP on Right Triangles and Pythagorean theorem. I am looking for a fun activity as part of my unit plan. Walter Whiteley lui répond. |
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An application of Pythagoras' theorem |
1996-04-09 |
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Mike pose la question : We'd like to know what practical applications there may be for the Pythagorean theorem. Penny Nom and Maxine Stinka lui répond. |
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