 |
|
|
|
|
|
|
|
|
Building a pyramid |
2000-02-26 |
|
From Francis X. Hines Jr.:
I am presently trying to build a pyramid. I can understand that the base has 90 degree angles on the first plane which is the outline of the square that makes up the floor. As close as I can figure the slope of each wall face is 35 degrees or 35.7 to be exact if I am correct by using 360 as the total of the three interior angles.Now , I run into a compound angle where the corners meet what would be the angle created by the two 35 degree angles that would allow for the 90 degree edge to continue. Because I'm working in three dimensions I also need to be sure that my math would be correct when I substract 35 from 90 to aquire the angle of the narrow edge as to allow for a 90 degree surface to be present ..to allow for another level to be added with only the base line being shortened. I hope you can understand what it is that I'm asking assistance with.I would greatly appericate your help.
Answered by Chris Fisher. |
|
|
|
|
|
|
Polar coordinates |
2000-02-24 |
|
From Tran Trung:
How do I convert r = 2/(2sin(theta) - 3cos(theta)) to rectangular and x2 + y2 -2y = 0 to polar form?
Answered by Harley Weston. |
|
|
|
|
|
|
Slant height of a cone |
2000-02-24 |
|
From Jocelyn Wozney :
I need help with this problem for my high school calculus class. Any help you can give me will be greatly appreciated-I am pretty stumped. "Express the volume of a cone in terms of the slant height 'e' and the semi-vertical angle 'x' and find the value of 'x' for which the volume is a maximum if 'e' is constant.
Answered by Harley Weston. |
|
|
|
|
|
|
The isoperimetric theorem |
2000-02-24 |
|
From Raj Bobal:
How can you prove Mathematically that the maximum area enclosed by a given length is a circle?
Answered by Chris Fisher. |
|
|
|
|
|
|
Hexagons |
2000-02-23 |
|
From Mohd. Amjad:
I want to know about hexagons. What is the area and the perimeter of an hexagon?
Answered by Penny Nom. |
|
|
|
|
|
|
More on googols |
2000-02-23 |
|
From Kevin Brennan:
Could you please give me a couple of examples of when you MATH guys would use a google. Do youu measure, like, galaxies with it ? Or was it created to keep track of Mr Gate's bank account.
Answered by Penny Nom. |
|
|
|
|
|
|
Triple angle formula |
2000-02-23 |
|
From Sara:
Can one derive a triple angle formula for sine and cosine? If so, how?
Answered by Chris Fisher. |
|
|
|
|
|
|
A triangle and a circle |
2000-02-23 |
|
From wendy:
If a triangle of base 6 has the same area as a circle of radius 6, what is the altitude of the triangle? I am having trouble with altitude.
Answered by Penny Nom. |
|
|
|
|
|
|
Some integration problems |
2000-02-23 |
|
From Tim Valentine:
I am having a great deal of difficulty with the following integrals, can you help? I think they need the use of trig substitution or integration by parts but I cannot figure out how to begin. Thanks! The integral of 1/(2+3x2) dx. and The integral of x * square root of (4x+5) dx.
Answered by Harley Weston. |
|
|
|
|
|
|
A trig identiry |
2000-02-23 |
|
From Ashlee:
I am having problems doing this problem. Can you help? Verify the identity: (1+cot2X)(1-cos2X)=2
Answered by Harley Weston. |
|
|
|
|
|
|
Party favors |
2000-02-22 |
|
From Krystina Fernandez:
Luanne was making party favors for her little sister's birthday party. Each party favor was in the shape of a cube. Luanne had pink and purple paint to paint the cubes and she could paint each face only solid pink or solid purple (no dots,stripes,ect.).For example, one cube may be all purple, another may have two purple faces and four pink faces. Her little sister wanted to have a different cube for each guest.(A cube is not considered different if it can be turned so that all it's sides match the corresponding sides of another cube.)How many different cubes was it possible for Luanne to make?
Answered by Claude Tardif. |
|
|
|
|
|
|
A moving point on the graph of y=sinx |
2000-02-22 |
|
From Veronica Patterson:
Find the rate of change of the distance between the origin and a moving point on the graph of y=sinx if dx/dt=2 centimeters per second.
Answered by Harley Weston. |
|
|
|
|
|
|
Pi |
2000-02-22 |
|
From Shelley Collier:
Numbers that can be written in the form p/q where p and q are integers, (q not 0), are known as rational numbers. What you are missing is that p and q must be integers. The fact that Pi is irrational means that you can't have a circle with both the circumference and diameter being integers. In fact you can't even have the circumference and diameter both rational since the quotient of two rationals is again a rational.
Answered by Claude Tardif and Penny Nom. |
|
|
|
|
|
|
A valentines project |
2000-02-21 |
|
From Courtney Dohoney:
I was assigned a valentines project. Our job is to make a valentines card that has a math theme. On my valentines card I would like to include the set of equations that when graphed look like a heart. If you can figure out a set of equations and get it back to me I would be very happy.
Answered by Harley Weston. |
|
|
|
|
|
|
Point de partage |
2000-02-21 |
|
From Sebastian Murciano:
J'aurais besoin de savoir où je peux trouver de l'informations, ou est-ce que vous pouvez me donner de l'information sur : Point de partage d'un segment étudié en Secondaire 4.
Answered by Claude Tardif. |
|
|
