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La conjecture de Goldbach 2011-02-18
ahmedbenmoussa pose la question :
montrez que tout nombre entier paire supérieur à 4 s'écrit somme de deux nombres premiers
Claude Tardif lui répond.
Quel est le 6e nombre dans la serie suivante 2010-08-13
jeff pose la question :
Quel est le 6e nombre dans la serie suivante: 1,2,6,42,1806,...
Stephen La Rocque and Claude Tardif lui répond.
Mathilde aime la musique et les mathématique. 2010-04-19
Lucas pose la question :
j'ai un problème pouvait vous m'aider a le résoudre:Mathilde aime la musique et les mathématique.Quand on lui demande combien de CD elle a elle répond "Je ne les ai pas comptés.quand je les groupe 5 par 5 ,il ne m'en reste pas.quand je les groupe 2 par2,il m'en reste 1.quand je les range 6 par 6,il m'en reste 5.je suis surque j'en moins que cinquante." Peux-tu trouver le nombre de CD de Mathilde? aider moi svp ps:je suis en 6ème donc faut pas que se soit trop compliqué
Claude Tardif lui répond.
Deux nombres consécutifs 2010-01-18
Janot pose la question :
Bonjour comment peut on faire pour démontrer que si deux nombres sont consécutifs, leur produit et leur somme sont premiers entre eux Merci de me mettre sur la voie , j'ai échoué avec Bezout.
Claude Tardif lui répond.
la capcite en metre cube de ma remorque 2008-03-22
pages pose la question :
je voudrai connaitre la capcite en metre cube de ma remorque les dimensions font 124-95 -34 merci
Pierre-Louis Gagnon lui répond.
Dénombrement 2007-05-11
Cosse pose la question :
de combien de façons peut-on faire 6 poules de 5 équipes avec 30 équipes? ou combien de partitions en 6 ensembles de 5 éléments dans un ensemble de 30 ? et aussi pourquoi ?
Claude Tardif lui répond.
Dernier théorème de Fermat 2006-06-06
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.
2^(2^1954) est-il premier? 2005-10-04
Un eleve pose la question :
2(21945)+1 est-il premier?
Claude Tardif lui répond.
Nombre premier 2004-11-01
Katia pose la question :
Pouvez-vous me dire comment savoir si un nombre est premier?
Claude Tardif lui répond.
Nombre Premier 2003-02-24
Un Etudiant pose la question :
Montrer que si p est facteur premier de 22n + 1 alors (p-1) est multiple de 2n+2
Claude Tardif lui répond.
The length of a line at 45 degrees 2022-04-09
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.
Scale drawing 2021-02-10
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.
The width of a rectangle of land 2020-04-26
Teresa pose la question :
If a rectangle shape piece of land is 813 feet long. How many feet width would be 2 acres?
Penny Nom lui répond.
Degrees, minutes and seconds 2020-02-21
Jonathan pose la question :
If a cone has an angle of 22 degrees, when i place it flat on a surface, the new resulting central angle is now at 68.69123834, but how come when i saw it on my friend it say 68 degree and 40 minutes, what is this minute?
Penny Nom lui répond.
Do all angles have to be equal to a number? 2019-05-15
Malik pose la question :
Do all angles have to be equal to a number? By all angles I mean adjacent, vertical, supplementary, complementary.
Penny Nom lui répond.
The height of a building 2019-04-05
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.
The Polynomial Remainder Theorem 2019-02-23
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.
(2018^2019)-(2019^2018) 2019-01-23
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.
7 spheres on a hexagonal tray 2019-01-14
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.
A binomial expansion 2019-01-05
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.
Division and remainders 2018-04-12
Yogendra pose la question :
A number is divided by 5,7 and 9. Reminder are 1,2 and 3 respectively. What is the number?. Give suitable calculations.
Penny Nom lui répond.
A rope fom a dock to a boat 2018-03-14
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.
Positive and negative values of a function 2018-01-30
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.
An enclosure for some remote control boats 2017-10-03
Roberto pose la question :
I am trying to build a "ring" for our remote control boats, using irrigation pipe. I'd like to use full 20' long sticks for the long sides and use eight of what we call 45s, which are actually 135' fittings to make the six short sides. If I know the length of the two long sides, what would be the formula to find the exact lengths of the short sides?

Thank you.
Penny Nom lui répond.
Cutting a wire into 18 cm lengths 2016-12-29
Shambhavi pose la question :
A long wire of some length is cut into small pieces of 216 cm leaves a small piece of length of 89 cm of this part were cut into equal pieces each of 18 cm the length of the left over wire would be
Penny Nom lui répond.
Gallons and cubic inches 2016-12-05
Theresa pose la question :
If I did not know the cubic inches in a liquid gallon how would I find it? In other words what is the formula for this?
Penny Nom lui répond.
Covering a floor with plank flooring 2016-12-04
sandra pose la question :
my bathroom is 5'x6'.2"
i want to purchase plank flooring which covers 19.8 sq ft per box.
how many boxes would i need.
Penny Nom lui répond.
Building a pyramid 2016-12-01
Jesse pose la question :
I'm trying to build a 30"by30"by 18.25"tall pyramid,what should my cutting measurements be?
Harley Weston lui répond.
Radius angle and arc length 2016-11-24
pavidthra pose la question :
Length or arc 11 and angle of subtended 45.need to find a radius
Penny Nom lui répond.
How far is the boat from the harbour? 2016-10-06
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.
The remainder theorem 2016-10-04
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.
Lisa went for a run 2016-07-14
Olive pose la question :
Lisa ran 3km north and then 4 km east what was her total distance
Penny Nom lui répond.
A puzzle embedded in a table top 2016-05-13
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.
The diagonal of a 10 acre square 2016-04-11
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.
Maximizing the area of a two lot region 2016-04-03
yousef pose la question :
A man wishes to enclose two separate lots with 300m of fencing. One lot is a square and the other a rectangle whose length is twice its width. Find the dimensions of each lot if the total area is to be a minimum.
Penny Nom lui répond.
The remainder theorem 2016-03-27
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.
A limit of a rational function 2016-01-16
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.
A relative maximum and a relative minimum 2015-12-28
kemelo pose la question :
show for the following function f(x)=x+1/x has its min value greater than its max value
Penny Nom lui répond.
The uniqueness of the lub 2015-10-25
Aishwarya pose la question :
Prove that if the lub and glb of a set exist then they are unique
Penny Nom lui répond.
An isosceles right triangle 2015-05-17
Ari pose la question :
In a 45-45-90 triangle find the ratio of a leg to the hypotenuse
Penny Nom lui répond.
Remainder 2014-12-08
Muqadasah pose la question :
A number, when divided by136, leaves remainder 36. If the same number is divided by 17, what will be the remainder?
Penny Nom lui répond.
A 4 digit number 2014-04-04
LIM pose la question :
"A" is a 4 digit number formed by all the numbers from 1 to 4. When "A" is divided by 9, the remainder is the biggest possible value. What is the biggest value of A?
Chris Fisher lui répond.
The Pythagorean Theorem 2014-03-30
brenae pose la question :
The Pythagorean Theorem, what is it?
Penny Nom lui répond.
A scalene triangle 2014-01-07
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.
The area of a quadrilateral 2013-12-21
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.
The zeros of a fourth degree polynomial 2013-01-23
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.
Mod versus Rem in Turing 2013-01-01
Eric pose la question :
I am a teacher teaching computer science using Turing. I am having difficulty understanding why one would use the mod operator versus the rem remainder operator.

Mod seems to make the resulting sign depend on the sign of the divisor, whereas rem makes the resulting sign depend on the dividend.

Examples:

11 mod 5 = 1 and 11 rem 5 =1
-11 mod 5 = 4 and -11 rem 5 = -1
11 mod -5 = -4 and 11 rem -5 =1
-11 mod -5 = -1 and -11 rem -5 = -1

What I can't understand is why this would matter. For example, -11 / 5 = -2.2 and 11 / -5 = -2.2 get the same result.
So how is a remainder dependent on the sign of one of the parts? What benefit would using one over the other have?

Any insight would be most helpful!

Eric
Harley Weston lui répond.
Two polynomials are divisible by x - 2 2012-12-26
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.
The height of a triangle 2012-10-17
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.
A multinomial theorem 2012-06-08
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.
A cubic inequality 2012-03-25
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.
The remainder theorem 2012-03-25
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.
Remainders 2012-03-18
Leslie pose la question :
Question: Janice has some marbles. When she divides them into groups of 4, she has 2 marbles left over. If she divides them into groups of 5, she will also have 2 left over. What is the least number of marbles she can have?
Penny Nom lui répond.
The 10000th day of her life 2012-02-21
derrick pose la question :
Ella was born early in the morning on a Friday.She got married on the 10000th day of her life. What day of the week was it?
Penny Nom lui répond.
A circle and a chord 2012-02-11
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.
Decartes' circle theorem 2011-09-07
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.
The perimeter of a figure 2011-04-27
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.
cos(x) = -1/(square root of 2) 2011-04-27
Shelby pose la question :
Find exact value of x for 1 <(or equal to) x < 2pi a) cos(x) = -1/(square root of 2)
Penny Nom lui répond.
A right angled triangle 2011-04-22
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.
How far is it from the control tower? 2011-04-11
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.
The development of the Pythagorean theorem 2011-04-08
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.
sin x = -0.25 2011-03-29
Wayne pose la question :
How do you solve for x in the equation sin x = -0.25

the answer is 3.394 and 6.030 but I don't know the steps they used to calculate this
Penny Nom lui répond.
A circle in a square in a circle in a square 2011-03-29
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.
Calibrating a conical tank 2011-02-05
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.
Points with distance 5 from the point (-2, -1) 2011-01-19
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.
Semicircles and the Pythagorean Theorem 2011-01-09
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.
A polynomial remainder 2010-12-25
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.
Two chords in a circle 2010-12-02
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.
A man made circular lake 2010-11-25
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.
A remainder of 3 2010-11-24
khodr pose la question :
find the smallest number (>3) that , when divided by 6 , 8 , 15 , and 18 , gives a remainder of 3 .
Robert Dawson lui répond.
Measuring the heights of tall objects 2010-10-28
Inder pose la question :
what is used in real world to measure heights of tall objects? besides Clinometer or shadows, what else is their that is used to measure tall objects.
Robert Dawson lui répond.
The equation of a circle 2010-10-20
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.
The angles in an m-gon and genrealizations 2010-10-16
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.
A truck goes south and then east 2010-08-26
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.
Two overlapping circles 2010-08-04
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.
Remainders 2010-07-17
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.
The equation of a circle 2010-06-23
Michelle pose la question :
Write and equation for the circle with a center, (0,0) and a diameter of 12
Penny Nom lui répond.
The height of a triangle 2010-06-21
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.
A square inscribed in a circle 2010-05-25
Middle pose la question :
what is the perimeter of a square inscribed in a circle of radius 5.0 inches?
Penny Nom lui répond.
The hypotenuse of a triangle 2010-05-22
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.
How far is the runner from the starting point? 2010-05-22
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.
How far am I from the starting point? 2010-05-18
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.
Rational root theorem 2010-04-14
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.
Counting by sevens 2010-04-13
Larry pose la question :
Lee counted by 7's beginning with one of the whole numbers from 1 through 7, until Lee passed 1000. If Lee counted three of the following numbers, which number did Lee NOT count?

a. 107
b. 184
c. 534
d. 641

Robert Dawson and Penny Nom lui répond.
Vapor trails 2010-04-12
Frank pose la question :
I'm not sure if this is a proper question to ask so if I have misdirected my question I apologize and no response is expected. I am trying to figure out a way to measure vapor trails from my back yard in Phoenix Arizona. If I used a compass and spread each point of the compass to the start and finish of the vapor trail I would have the angle of an isosceles triangle. The other two angles would be identical. The height of from the inverted base of the triangle to my standing spot on the ground would be about 35,000 feet. I'm thinking that there should be a way to figure out the length of the inverted base (vapor trail) but I'm devoid of mathematical skills and can't seem to figure out how to do this. Is it possible to figure out the length of a vapor trail using this method or do you have an easier way to accomplish the task?

Any help you could offer would be most appreciated.

Thanks....Frank
Harley Weston lui répond.
Body measurements 2010-04-06
Amirul pose la question :
Recently I'm proposing my research question to my teacher for my extended essay. I'm an IB student. My research question is regarding the estimation of human in buying trousers through reference of neck. What does the relation between the diameter of the neck and the diameter of the waist? I want to see how far does the estimation theory is true for different type of people with different BMI(body mass index)..

But teacher said that it is golden ratio...so nothing interesting... =( really??? But i search on net.... state that my idea seems do not have any relation with the golden ratio so far..... i just want ask you... am I able to perform in my extended essay if i continue with this research question??
Robert Dawson lui répond.
A ladder against a wall 2010-03-25
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.
The hypotenuse 2010-02-27
Dannielle pose la question :
how do you find the hypotenuse if a=8 and b=6?
Penny Nom lui répond.
A 25 foot ladder reaches a window 20 feet high 2010-02-27
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.
The center of a rectangular room 2010-02-16
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.
The binomial theorem 2010-01-21
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.
Loading a headboard in a uhaul 2010-01-20
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.
How high up the building does the ladder reach? 2010-01-19
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.
Related Rates Problem 2010-01-12
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.
(x+3) is a factor of 2x^3-3x^2+px+30 2010-01-09
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.
A quilt square 2010-01-07
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.
The maximum number of right angles in a polygon 2009-10-05
Bruce pose la question :
Is there way other than by trial and error drawing to determine the maximum number of right angles in a polygon? Secondary question would be maximum number of right angles in a CONVEX polygon. Is there a mathematical way to look at this for both convex and concave polygons? Or are we limited to trial and error drawing?
Chris Fisher lui répond.
A right-angled triangle 2009-10-02
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.
A ladder leaning against a wall 2009-09-08
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.
An antiderivative problem 2009-08-13
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.
I expect to retire in 12 years 2009-08-03
Polly pose la question :
I expect to retire in 12 years. Beginning one month after my retirement, I would like to receive $500 a month for 20 years. How much must I deposit into a fund today to be able to do so if the rate of interest on the deposits is 12% compounded monthly?
Stephen La Rocque lui répond.
Using the Remainder Theorem to Find an Unknown Coefficient. 2009-07-06
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.
A diagonal of a rectangle 2009-07-01
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.
The Pythagorean theorem 2009-06-24
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.
Divisibility 2009-06-17
Sophia pose la question :
Hello
Please help my son with the solutions to the following:

a) Determine the remainder when 2^2009 + 1 is divided by 17;
b) Prove that 30^99 + 61^100 is divisible by 31;
c) It is known that numbers p and 8p^2+1 are primes. Find p.

Again, your assistance is greatly appreciated.
Thanks
Sophia
Robert Dawson lui répond.
nC0 + nC1 + nC2 + ... + nCn = 2^n 2009-06-15
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.
Ladder Leaning on a Wall 2009-05-14
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.
The shadow of a tree 2009-04-20
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.
Thirty-two divided by 3 2009-04-02
Shelly pose la question :
x = 32/3

x = 10 2/3 Divide 32 by 3: 32 / 3 = 10 R2.

What I don't get is why is it that 10 with a remainder of 2 ( 10 R2 ) equals 10 2/3? shouldn't it be 10 2/10 ?????
Robert Dawson lui répond.
A walkway through a park 2009-03-07
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.
An octagonal landscaping frame 2009-03-01
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.
The floor area in a spherical space station 2009-02-14
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.
How far is the airplane from the control tower? 2009-01-17
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.
The 2 rightmost digits 2008-12-18
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.
Finding an Unknown Integer Given Quotients and Remainders 2008-12-05
Mark pose la question :
What is the least positive integer meeting each of the following conditions? Dividing by 7 gives a remainder of 4. Dividing by 8 gives a remainder of 5. Dividing by 9 gives a remainder of 6.
Janice Cotcher lui répond.
A remainder of 8 2008-12-02
Dawn pose la question :
when dividing a 3-digit number by a 1-digit number, for what divisors can you get a reminder of 8 ? Explain
Chris Fisher lui répond.
Insulation in an attic 2008-11-18
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.
A remainder of 8 2008-10-23
Kathy pose la question :
When dividing a 3 digit number by a 1 digit number, for what divisors can you get a remainder of 8? is the question in my son's math book. After searching this web site, how do you explain an answer so that a ten year old can understand? I somewhat understand the answers given, but am afraid my son might not understand the answer? Help???
Penny Nom lui répond.
A right triangle 2008-09-25
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.
Consecutive Even Integer Sides of a Triangle 2008-09-24
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.
The Intermediate Value Theorem 2008-09-16
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.
The perimeter of an equilateral triangle 2008-09-11
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.
A square with diagonal 200 metres 2008-08-20
kelvin pose la question :
find the are and perimeter of a square with diagonal of 200 meters?
Penny Nom lui répond.
Limit as it Approaches Infinity 2008-07-29
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.
The length of a side of a square 2008-07-27
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.
The product of the digits of a four digit number 2008-07-26
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.
Polynomial division and remainders 2008-07-02
RAM pose la question :
If the polynomial x4-6x3+16x2-25x+10 is divided by another polynomial x2-2x+k, the remainder comes out to be x+a. Find k and a.
Janet Cotcher and Harley Weston lui répond.
Remainders 2008-06-30
vivek pose la question :
what is the remainder when 2050*2071*2095 is divided by 23 ? this question needs to be done in as less time as possible.
Penny Nom lui répond.
Find the smallest number that leaves a remainder of 10 when divided into 90. 2008-06-24
Peter pose la question :
Find the smallest number that leaves a remainder of 10 when divided into 90.
Janice Cotcher lui répond.
How far away is the horizon? 2008-06-13
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.
4x^3 - 6x + 2 = 0 2008-05-28
paul pose la question :
4x^3 - 6x + 2 = 0
Janice Cotcher lui répond.
What is the length of the 3rd side? 2008-05-23
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.
A problem with numbers 2008-05-18
Peter pose la question :
When a certain number N is divided by d, the remainder is 7. If the original number N is multiplied by 5 and then divided by d, the remainder is 10, find d
Stephen La Rocque and Penny Nom lui répond.
A right angled triangle 2008-05-16
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.
The factor theorem 2008-05-06
Nomaan pose la question :
factorise
x³-2x²-x+2
using factor theorem
Penny Nom lui répond.
The Pythagorean theorem with triangles rather than squares 2008-04-29
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.
Find the length and the width of the rectangle 2008-04-24
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.
A 30-60-90 triangle 2008-04-16
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.
Factor 2x^3 + 3x^2 - 32x + 15 2008-04-02
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.
How far is she from her starting point? 2008-03-30
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.
How would I factor 2x^3 + 11x^2 - 7x - 6? 2008-03-22
Sean pose la question :
How would I factor this polynomial? 2x^3 + 11x^2 - 7x - 6
Stephen La Rocque lui répond.
The area of a right triangle 2008-03-19
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.
The diagonal of a rectangle 2008-02-21
tim pose la question :
is there a formula for finding the diagonal of a rectangle?
Penny Nom lui répond.
A triangle and a rectangle 2007-12-14
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.
Rounding 2007-11-05
Charles pose la question :
I have been asked to explain why rounding to 3 decimal places has become the adopted industry standard in mathematics for showing measurement calculations. I understand that it makes sense to round financial calculations to 2 d.p. because then it's rounded to the nearest penny (or cent) but why would the standard in measurement be 3?
Stephen La Rocque lui répond.
A wiffleball field 2007-10-31
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.
How to solve related rates problems 2007-10-27
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.
Finding radius given chord length and distance to center 2007-10-04
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.
Three circles 2007-09-29
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.
Grade 5 shapes and measurements 2007-09-23
Marina pose la question :
I'm helping my grade 5 son in this assignment but I don't know how. There are 2 question I would like you to help me:
1.How can the shapes used to form a larger similar figure using 4 shapes: ( a 3 by 3square is drawn in a 6 by 6 dot figure,drawing attached)
2.You are planning to build a birdhouse measurement is attached,. You are going to cut the pieces from a board that is 12 inches wide. How long should the board be?
Penny Nom lui répond.
A geometry problem 2007-08-20
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.
Diameter of an octagon 2007-08-07
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.
The irrationality of PI 2007-08-07
Matthew pose la question :
I have what I like to think of as a rather interesting question that I can't explain confidently for the life of me. If we take a circle with a radius of 1 and we calculate the circumference, we can use 2 pi R. Doing this calculation results in a circumference of 6.28318530717~ which goes on forever. However, if you were to take a that same circle in the real world, say with radius 1cm and wrap a string around it, and then measure the string, you don't get 6.28~, you get something like 6.2, a much more finite distance. The length of the string is not an irrational number, like the math claims it to be.
Claude Tardiff and Stephen La Rocque lui répond.
Find the area of a regular pentagon inscribed in a circle 2007-08-03
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.
A problem concerning the medians of a triangle 2007-08-01
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.
Building a garage 2007-07-29
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.
Some trig problems 2007-07-20
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.
An oblique triangle 2007-07-19
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.
Converting measurements 2007-07-11
Nicole pose la question :
if you have 8 oz of water how many cc: will there be.
Stephen La Rocque lui répond.
The volume of a cube 2007-06-23
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.
Using the Pythagorean Theorem 2007-06-18
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.
A circle inside a square 2007-05-31
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.
A point on a semicircle 2007-05-28
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.
Is the point on a cone called a vertex? 2007-05-09
Felicia pose la question :
Does a cone have a vertice? My teacher says that a vertice can only be made if two or more edges join up at an angle, so what do you call a point on a cone?
Walter Whiteley lui répond.
The area of a pyramid 2007-04-28
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.
Division of polynomials 2007-04-14
Rajendra pose la question :
Find the remainder when x3+3x+1 is divided by x+pi
Penny Nom lui répond.
How far apart are the cars? 2007-04-07
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.
The Pythagorean theorem 2007-04-04
Cassandra pose la question :
how do u find a and/or b using the Pythagorean theorem of a right triangle?
Leeanne Boehm lui répond.
(x+2) is a factor of x^3+bx^2-14x+24. Find the value of b? 2007-03-11
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.
Finding the vertical height of a roof 2007-03-05
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.
The factor theorem 2007-03-04
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.
a^2 + b^2 = c^2 2007-03-04
Colburn pose la question :
27 feet long base 14 feet height what is the diagonal
Stephen La Rocque lui répond.
What is the remainder when 3^2007 is divided by seven? 2007-02-18
Chris pose la question :
What is the remainder when 3^2007 is divided by seven??
Leeanne Boehm lui répond.
Line segments on dot paper 2007-01-21
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.
A rhombus 2006-12-26
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.
The Pythagorean theorem 2006-12-12
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.
Rolle's Theorem 2006-12-07
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.
When kx^2+3x+1 divided by (x-2) the remainder is 3 2006-11-09
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.
The height of a triangle as a function 2006-10-19
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.
The hypotenuse 2006-10-02
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.
X^1/3-X^1/9=60 2006-09-26
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.
I need to cut an octagon 2006-09-23
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.
The length of 2 sides of a triangle 2006-09-15
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.
A remainder of 1 2006-09-13
Juan pose la question :
What is the smallest counting number which when divided by any of the numbers 2,3,4,5,6,,7,8,9 and 10, leaves a remainder of 1?
Paul Betts and Claude Tardif lui répond.
Square roots in a binomial expansion 2006-09-11
Sydney pose la question :
(√x + 5)4 expanded using the binomial theorem
Penny Nom lui répond.
When 391758 and 394915 are divided by a certain three digit number, ... 2006-07-26
Nick pose la question :
When 391758 and 394915 are divided by a certain three digit number, the three digit reminder is the same in each case. Find the divisor.
Chris Fisher and Steve La Rocque lui répond.
What are the 3rd and 4th terms of (2x-y)^7? 2006-06-18
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.
Designing a garage 2006-06-08
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.
A triangle problem 2006-05-18
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.
The Pythagorean relation 2006-05-09
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.
Cutting an octagon from a square 2006-05-07
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.
Pythagorus and cone dimensions 2006-04-26
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.
The perimeter of a regular octagon 2006-04-20
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.
x^2+2x-3 is a factor f(x)=x^4+2x^3-7x^2+ax+b 2006-04-06
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.
The area of a block of land 2006-03-26
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.
A 25 foot ladder is leaning against a building. 2006-03-24
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.
A fifth degree polynomial 2006-03-13
Forrest pose la question :
When f(x) = x5 - 3x4 - 6x3 + 3ax2 - 24 is divided by x2 - 2 the remainder is bx.
Find the values of a and b.
Hence solve the equation f(x) = -8x
Penny Nom lui répond.
f(x) is a polynomial of degree 3. 2006-03-13
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.
Factors of a cubic 2006-03-08
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.
The third side of a triangle 2006-02-09
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.
Converting units 2006-01-21
A student pose la question :
How can you solve a measurement problem by changing it to a fraction of the new unit that follows such as:

18 inches =------------------- yard
40 minutes = -------------- hour
5 days = -------------- week
Penny Nom lui répond.
An irregular octagon 2006-01-20
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.
The height of a triangle from the lengths of the sides 2006-01-16
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.
For what divisors can you get a remainder of 8? 2006-01-06
Thelma pose la question :
When dividing a 3 digit number by a 1 digit number, for what divisors can you get a remainder of 8?
Penny Nom lui répond.
The area of an octagon 2006-01-03
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.
The Mean Value Theorem 2005-12-22
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.
Folding a sheet of paper 2005-12-15
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.
The sides of an octagon 2005-11-02
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.
A cube in a sphere 2005-10-19
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.
A line that intersects a circle 2005-10-18
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.
The remainder theorem 2005-10-07
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.
City A is 30 miles directly north of City C 2005-10-04
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.
The length of the side of an octagon 2005-09-22
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.
The area of a lot 2005-08-29
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.
Is 360 Really the correct value? 2005-08-15
Jack pose la question :
Considering the circumference of a "Perfect Circle" with a Diameter of 1 meter would be something like 3.14 meters, why do we use the number 360 to represent the number of degrees within that circumference?

Would it not make more sense to express the degrees in reference to the relationship to the diameter as related to pi?

That is, let's just say our "Perfect Circle" has a circumference of 3.14 meters, therefore, what we now consider as due east would change from 90 Degrees to 78.5 Degrees.
Penny Nom lui répond.
Constructing a fence 2005-08-09
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.
An algebraic remainder 2005-06-22
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.
An integer x when divided by 5 leaves the remainder 3. 2005-06-18
A teacher pose la question :
An integer x when divided by 5 leaves the remainder 3. Prove that when 4x is divided by 5, 2 is the remainder
Penny Nom lui répond.
arccos(5/13) 2005-05-31
Kyle pose la question :
I would like to know how to evaluate the problem of: Arccos 5/13.
Penny Nom lui répond.
The area of an octagon 2005-05-21
Jeremy pose la question :
i need to find the area of an octagon with each side measuring 1 foot
Penny Nom lui répond.
A right triangle 2005-05-18
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.
Bayes Theorem 2005-04-03
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.

  1. Suppose that one well is drilled on the field and it comes up dry. What is the probability the prospect field will produce oil?
  2. If two wells come up dry, what is the probability the field will produce oil?
  3. 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
  4. If the first well produces oil,what is the chance the field will produce oil?

Andrei Volodin and Penny Nom lui répond.
Dimensions of a roof 2005-03-18
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.
The benefits of saving for retirement 2005-03-11
Nick pose la question :
A human resources department wants a report that shows its employees the benefits of saving for retirement. Produce a report that shows 12 predicted retirement account values for each employee - the values if the employee saves 5, 10, or 15% of his or her annual salary for 10, 20, 30, or 40 years. Assume that savings grow at a rate of 8% per year. Not really interested in answers, just the equations to solve the problems.
Penny Nom lui répond.
A diagonal in a cube 2005-03-06
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.
Stewart's Theorem 2005-01-17
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.
A right triangle 2004-11-24
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.
Practical applications: parabolas and Pythagoras 2004-10-24
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.
Pythagoras in everyday life 2004-10-13
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.
A theorem involving a trapezoid 2004-09-29
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.
The area of a lot 2004-09-29
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.
Incremental variance 2004-09-23
Carlos pose la question :
I must keep statistical data (mean and variance) in 3 granularity levels depending on the age of the data (daily for older than 1 year, hourly for older than 1 month and quarter-hour for older than 1 day). How can I calculate the resulting variance from a set of variances previously calculated supposing I have the count and mean for each member of the set?
Andrei Volodin and Penny Nom lui répond.
The length of a cut 2004-09-17
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.
A cube is inscribed inside a sphere 2004-08-18
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.
An Octagonal playhouse 2004-07-13
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.
The tangent of theta 2004-07-10
Jacob pose la question :
P is a point on a unit circle with coordinates(0.6,0.8). Find tan of theta. My book shows me how to do it,"tan of theta=opp./adj.=0.8/0.6=4/3,"and leaves it as that's the answer(4/3).When do we know from a problem to find the angle measure (in this case, the angle measure of theta) and how do we know when to give something like 4/3 without converting it to the angle measure?
Penny Nom lui répond.
How far apart are they? 2004-05-23
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.
A stained glass window 2004-03-29
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.
A water lily 2004-03-17
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.
The factor theorem 2004-03-08
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.
Napoleon's theorem 2004-02-27
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.
Bundles of asphalt shingles 2004-01-24
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.
The volume of a cube 2003-11-22
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.
A rectangle on a disk 2003-10-29
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.
The general equation for a sphere 2003-09-11
Jaidev pose la question :
Is there any general equation for a sphere?
Penny Nom lui répond.
A 16 foot ladder 2003-09-04
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.
Newton's binomial theorem 2003-08-30
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.
Two cars 2003-07-09
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.
The height of an equilateral triangle 2003-04-06
Rosa pose la question :
If Each side of an equilateral triangle is 10 m. What is the height?
Penny Nom lui répond.
Friends and enemies 2003-03-24
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.
A triangle and a circle 2003-03-21
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.
Division names 2003-03-10
A parent pose la question :
what is the answer to a division problem called
Penny Nom lui répond.
Milliliters 2003-02-04
James pose la question :
What is a milliliter?
Penny Nom lui répond.
Factoring 2003-02-04
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.
Factoring a cubic 2002-12-05
Dorota pose la question :
I got a problem with factorise the expression
2x3+11x2-5x-50.
Penny Nom lui répond.
The height of a triangle 2002-11-29
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.
For what divisors can you get a remainder of 8? 2002-11-13
David pose la question :
When dividing a 3-digit number by a 1-digit number, for what divisors can you get a remainder of 8?
Penny Nom lui répond.
The four colour theorem 2002-10-27
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.
Pythagoras in three dimensions 2002-10-14
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.
The factor theorem 2002-09-10
Yael pose la question :
Prove (x - a - b) is a factor of x3 - a3 - b3 - 3ab (a + b)
Penny Nom lui répond.
A limit 2002-09-03
Circe pose la question :

Lim 3x 3+ax+a+3 /(x 2+x-2), X->-2


Penny Nom lui répond.
Overlapping circles 2002-05-29
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.
Bob swam across a river 2002-05-22
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.
An award ceremony 2002-05-13
Mika pose la question :
Five students are equally qualifide their school at an award ceremony. two students will be randomly chosen to go to the ceremony.

(a) if Tony is one of the five student, what is the probability that he will be chosen?
Ans: 2/5C2=0.2 which is 20%

(b)Tony's friend, Allecia, who was also eligible to go, has been chosen. what is the Tony's probability of being chosen after he learns that allecica is going:
Ans: 1/5C1=0.2

I think the answes are wrong please help me with these questions


Andrei Volodin lui répond.
Cubic yards 2002-04-20
Pat pose la question :
I HAVE AN AREA 10'x6'I WOULD LIKE TO PUT LOAM ON IT 5" DEEP HOW MANY CUBIC YARDS OF LOAM DO I NEED?
Harley Weston lui répond.
An octagon-shaped deck 2002-02-20
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.
A degree 5 polynomial 2002-02-17
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.
Rolling 5 sevens before rolling a six or an eight 2002-01-20
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.
Piles of coins 2001-12-05
A student pose la question :
Sharon has less than 20 coins. When she puts them in piles of 5, she has 1 left over. When she put them in piles of 3, she also has 1 left over. How many coins does Sharon have?
Penny Nom lui répond.
Multinomial theorem 2001-11-28
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.
A clap of thunder 2001-11-15
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.
Lucas' theorem 2001-10-09
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.
The Mean Value Theorem 2001-07-23
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.
Two jugs 2001-06-04
Heather pose la question :
One goes to a source of water with two jugs and only two jugs. One jug had a capacity of exactly three pints and the other five pints. Both jugs are opaque (you canít see inside them) and irregularly shaped. How can you use the two jugs and only the two jugs to measure exactly four pints of water?
Harley Weston lui répond.
Dots on squared paper 2001-03-30
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.
Shape, symmetry, measurement and space 2001-02-24
Marilyn pose la question :
I have to write in detail about how young children learn about shape, symmetry, measurement and space. It is not activities I need it is how the children learn. How/why their brain takes it all in
Walter Whiteley lui répond.
A remainder of 1 2001-02-20
A student pose la question :
what is the smallest positive integer which has a remainder of one when divided by 2,3,4,5 and 6
Penny Nom lui répond.
The hypotenuse of a right triangle 2001-01-22
Phillipe pose la question :
How do you find the hypotenuse of a right triangle?
Penny Nom lui répond.
The Pythagorean Theorem 2001-01-08
Megan pose la question :
Why the Pythagorean Theorem so important in our lives and what is it's history?
Penny Nom lui répond.
The pythagorean theorem in everyday life 2001-01-06
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.
Two geometry problems 2000-09-09
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.
Central Limit Theorem and Law of Large Numbers 2000-06-26
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.
4 Color map Theorem 2000-06-02
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.
Calculus Research Questions 2000-05-22
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.
The pythagorean theorem 2000-05-19
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.
History of a meter 2000-04-07
Jarod Fischer pose la question :
The length of a meter has been determined in three different ways. The first and original way was determined in 1798. The second way was determined in 1960. The third and current way was determined in 1983. What were the three ways and why were the first two abandoned?
Harley Weston lui répond.
Sylvester's Problem 2000-03-23
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.
The isoperimetric theorem 2000-02-24
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.
Factoring by graphing 2000-01-11
Dylan Kirkwood pose la question :
How can you factor a quadratic equation by graphing it?
Penny Nom lui répond.
Solving a cubic equation 1999-12-30
Natalia pose la question :
How can I solve:
2 x3 - x2 + x - 2 = 0 ???
Penny Nom lui répond.
The area of a garden 1999-12-17
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.
Two algebra problems 1999-12-17
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.
Advanced Calculus 1999-12-07
Kay pose la question :
Hi, my name is Kay. Please help---these problems are driving me crazzzzy!!!! Your help would be greatly appreciated!
  1. Let a,b be contained in R, a
  2. .
    .
    .

Claude Tardif lui répond.
Body part measurements 1999-11-10
V Bailey pose la question :
I am a kindergarten teacher and mother of a 6th grader who wants to do a science project on the correlations of body part measurements. We heard this on the radio and it sparked our interest, but now I cannot find any information about it. Examples are: your height is supposed to equal the distance from fingertip to fingertip when your arms are outstretched. Your foot size is supposed to equal the distance from your wrist to your elbow.

Please help me find more information on this topic.
Penny Nom lui répond.
Standard Deviation 1999-07-11
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.
The Binomial Theorem for rational exponents 1999-04-15
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.
Converting Metric Measurements 1999-04-08
Rick pose la question :
Do you have any simple explanations for converting Metric measurements to other Metric measurements?? What helpful hints do you also have for a 5th Grader...
Penny Nom lui répond.
Factoring 1999-03-30
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.
Factoring polynomials 1999-03-29
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.
Where three sequences meet. 1999-03-06
Ali pose la question :
My name is Ali and I am in the 5th grade.

I have a math question:

What is the least positive integer meeting each of the following conditions:

  • Dividing by 7 gives a remainder of 4
  • Dividing by 8 gives a remainder of 5
  • Dividing by 9 gives a remainder of 6
Help!
Denis Hanson lui répond.
Pythagorean theorem research project 1998-12-31
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.
Pick any odd number, square it, and then divide it by 8 1998-11-27
Brenda Meagher pose la question :
Pick any odd number, square it, and then divide it by 8. No matter what odd number is chosen and squared and divided by 8, the remainder is one.

Could you please explain this to me or is there a pattern that I am not aware
Harley Weston lui répond.
Dividing a Class 1998-10-01
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.
Nickles on the Highway 1998-09-22
Ronnie Mac Donald pose la question :
How many nickels would it take to cover 226km of highway,each nickel is 2cm in diameter?
Penny Nom lui répond.
The Factor Theorem 1998-01-18
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.
Imperial System of Measurement. 1997-09-17
Judy Pardilla pose la question :
Please also give the solution to the answers. Thank you.
  1. If a room is 12 feet by 15, how many square yards are there?

  2. If a single roll of wallpaper will cover 30 square feet, how many single rolls will it take to cover a wall 8' x 15'?

  3. If ceramic tiles are 8" x 8", how many tiles would it take to cover an area 4' x 6'?
If possible, can you e-mail me a table for imperial measurements. Thank you!
Penny Nom lui répond.
Two Questions 1997-08-28
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.
A Monte Carlo Procedure 1997-04-23
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.
The Central Limit Theorem 1997-04-21
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 a parameter that is the sum of the parameters of the summands. In particular, if n independent Poisson random variables, each with parameter 1/n, are summed, the sum has a Poisson distribution with parameter 1. The central limit theoren says the sum tends to a normal distribution, but Poisson distribution with parameter 1 is not normal.

What do you think of this argument?
Neal Madras lui répond.
Proofs 1997-04-13
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.
The normal distribution. 1997-03-21
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.
Triangles, The Pythagorean Theorem and Pizzas. 1997-02-23
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.
An application of Pythagoras' theorem 1996-04-09
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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