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The height of a truncated cone |
2015-12-04 |
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Jack pose la question :
I need to build a truncated cone that has a top of30 inches and a base of 64 inches . The sides need to be at a 64.5 degree angle. This will determine the height. Can this be calculated?
Penny Nom lui répond. |
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A tangent line to a parabola |
2015-12-02 |
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pei pose la question :
Given that the line y=mx-5 is a tangent to the curve y=2x^2+3 find the positive value of M.
Penny Nom lui répond. |
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Riding a mountain bike up and down a mountain |
2015-12-02 |
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sam pose la question :
Michael, can climb a mountain at 2.5km/hr on his mountain bike. he descends the mountain at 5.5km/hr. he completes the whole circuit in 7 hours. how long is the trail to the top of the mountain?
Penny Nom lui répond. |
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A parabolic arch |
2015-11-30 |
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Muhammad pose la question :
An arch over a road has a parabolic shape it is 6 meter wide at the base and is just
tall enough to allow a truck 5 meter high and 4 meter wide to pass
a):
assuming that the arch has an equation of the form y=a(x)^2+b use the given
information to find a & b. explain why this assumption is reasonable.
b):
sketch the graph of arch equation
Penny Nom lui répond. |
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Pouring a foundation |
2015-11-27 |
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Lisa pose la question :
Hi im building a house 30ft long 18 ft wide I would like to pour a foundation of 6 inches
deep. How much sand, cement , 1/2" gravel do i need.
Penny Nom lui répond. |
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The sweep angle of a video camera |
2015-11-25 |
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Franc pose la question :
a television camera is 30ft from the sideline of a basketball court 94 ft long. The camera is located 7 ft from the mid court. through what angle must it sweep in order to cover all action on the court?
Penny Nom lui répond. |
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The angle at the vertex of an isosceles triangle |
2015-11-25 |
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Karan pose la question :
I have been given an isosceles triangle. the Top angle is what i have to find out and the two sides adjacent to it are both 4.9 cm. i have been told that the area of the triangle is 4 cm^2. i have no idea how to work this out, any ideas?
Penny Nom lui répond. |
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The range of f(x)=(2x+2)/(x-1) |
2015-11-25 |
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Nazrul pose la question :
f : R to R is a function which is defined by f(x)=(2x+2)/(x-1).
Is f(x) an onto function? Please explain.
What is the range of this function?
Thank you very much for your previous help.
Harley Weston lui répond. |
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How much does the Earth curve over a one foot distance? |
2015-11-24 |
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Sean pose la question :
Hi, I am trying to figure out how much the earth curves over a one foot distance. I'd like to be able to draw the exact arc on a piece of paper. I am an artist and am looking to make glass vessels with the exact curvature of the earth. I read on your site that it curves approximately 8 inches per mile. can I just use simple ratios to break it down into inches?? Thank you so much for your help.
Harley Weston lui répond. |
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The measure of an angle in terms of its complement |
2015-11-22 |
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Pam pose la question :
Can you please help me so I can help my daughter the equation is the measure of angle v is 4 time the measure of its complement what is the measure of angle v when the equation is 4x+x=90
Penny Nom lui répond. |
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Dividing by a fraction |
2015-11-21 |
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Jennifer pose la question :
Question from Jennifer, a student:
I want to know how to get the right answer for this math problem, dividing a fraction in to a whole number , example 3/8 using the whole number 6? Thanks
Penny Nom lui répond. |
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20 million as a percentage of 7.3 billion |
2015-11-18 |
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Nick pose la question :
Based on the estimate of the worlds current population (7.3 billion people), I'm trying to work out what percentage of that figure 20 million people would amount to?
(Apologies in advance that I've no idea if the 7.3 billion figure is an American Billion or UK billion)
Thanks for any help.
Nick.
Penny Nom lui répond. |
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Archimedes, Euclid and "Circular Reasoning" |
2015-11-15 |
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Ron pose la question :
I have read about Archimedes and his work with sphere in cylinder and cone in cylinder and the volume relationships. Did he or any others also extend this to regular based polygon based regular like pillars, and columns? The ratio of 1/3 to 1 whole holds true with all regular based columns as example: a regular pyramid having a regular hexagon base inside a regular hexagon column of equal height.
Chris Fisher lui répond. |
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A common tangent to two general parabolas |
2015-11-15 |
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Kind pose la question :
Hi,
I want to find the common tangent of two general parabolas, but i don't know if it's possible or not.
If it's possible, please make a tutorial.
The first parabola equation : Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0.
The second parabola equation : Gx^2 + Hxy + Iy^2 + Jx + Ky + L = 0.
I need this because i want to find the equation of Beloch fold. (Huzita - Hatori 6th axiom)
However if you know any other method to find Beloch folds equation, I am open for any suggestions.
Chris Fisher lui répond. |
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A schedule for 12 high school golf teams |
2015-11-15 |
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Jason pose la question :
I have 12 high school golf teams (A - L). There will be 4 games each week for 4 weeks. For each game, 3 teams play at a time (A vs B vs C). I would like it where no team plays the same team twice. Week four is my issue as I seem to always have a team or two playing the same team again. Is it possible to have each team play each other only once?
Victoria West lui répond. |
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