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The height of a truncated cone |
2015-12-04 |
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From Jack:
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?
Answered by Penny Nom. |
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A tangent line to a parabola |
2015-12-02 |
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From pei:
Given that the line y=mx-5 is a tangent to the curve y=2x^2+3 find the positive value of M.
Answered by Penny Nom. |
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Riding a mountain bike up and down a mountain |
2015-12-02 |
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From sam:
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?
Answered by Penny Nom. |
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A parabolic arch |
2015-11-30 |
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From Muhammad:
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
Answered by Penny Nom. |
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Pouring a foundation |
2015-11-27 |
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From Lisa:
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.
Answered by Penny Nom. |
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The sweep angle of a video camera |
2015-11-25 |
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From Franc:
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?
Answered by Penny Nom. |
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The angle at the vertex of an isosceles triangle |
2015-11-25 |
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From Karan:
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?
Answered by Penny Nom. |
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The range of f(x)=(2x+2)/(x-1) |
2015-11-25 |
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From Nazrul:
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.
Answered by Harley Weston. |
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How much does the Earth curve over a one foot distance? |
2015-11-24 |
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From Sean:
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.
Answered by Harley Weston. |
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The measure of an angle in terms of its complement |
2015-11-22 |
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From Pam:
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
Answered by Penny Nom. |
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Dividing by a fraction |
2015-11-21 |
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From Jennifer:
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
Answered by Penny Nom. |
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20 million as a percentage of 7.3 billion |
2015-11-18 |
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From Nick:
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.
Answered by Penny Nom. |
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Archimedes, Euclid and "Circular Reasoning" |
2015-11-15 |
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From Ron:
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.
Answered by Chris Fisher. |
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A common tangent to two general parabolas |
2015-11-15 |
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From Kind:
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.
Answered by Chris Fisher. |
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A schedule for 12 high school golf teams |
2015-11-15 |
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From Jason:
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?
Answered by Victoria West. |
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