Theories, Problems, Solutions

Balls on a Shelf

Crazy Horse — Sun, 07 Aug 2005 10:00:00 -0400

Two balls lie on next to each other on a shelf. If one ball has a radius of 8 inches and the point of contact is 10 inches above the shelf, what is the radius of the second ball?

Circumference

Crazy Horse — Sat, 16 Jul 2005 10:05:44 -0400

To the nearest tenth, find the circumference. Use 3.14 for

VZ = 43.85 inches

Three Sisters

Crazy Horse — Thu, 14 Jul 2005 08:50:28 -0400

Draw a labeled graph that represents the following scenario:

Three sisters, Rachel, Lily, and Jenn, each regularly call their mother Agnes, though Agnes only calls Lily. Jenn will not call Lily, though Lily continues to call Jenn. Rachel and Jenn will call each other, as will Rachel and Lily.

Complex numbers

Crazy Horse — Tue, 05 Jul 2005 22:41:11 -0400

Describe the set of all complex numbers y which satisfy the following condition:

0 < |y - 1| < 1 + |y|

More math:

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Topology

Crazy Horse — Sun, 03 Jul 2005 00:21:30 -0400

Which of the capital letters are topologically the same, and which are topologically different?

How many variations, topologically, are the in the alphabet?

Remember flex and bend all you want, but no tearing or gluing...

Parallelograms

Crazy Horse — Thu, 30 Jun 2005 18:41:10 -0400

Find the area of the following parallelogram

MH = 55 cm
MX = 79 cm
n = 37 cm

Area of Triangles

Crazy Horse — Tue, 28 Jun 2005 08:09:18 -0400

Find the area of the following triangle:

VN = 52.5 inches
FN = 30.5 inches
FV = 33 inches
n = 28.5 inches