Fraction

What is the diameter of a circle with a radius of 23 3/5? YES, this is a fraction problem and please break it down. THANKS

Cycloid, description, equation, length and area

The cycloid is defined, equations stated and the curve length and area under the curve are calculated.

I need to know the length of the second circumference.

I have a circle with a circumference of 160' with an additonal circumference 12' outside of that. I need to know the length of the second circumference. Does that make sense?

The positive integers are written in a triangular array as shown...

The positive integers are written in a triangular array as shown. in what row is the number 1000? 1 23 456 78910 11...

Geometry has many practical applications in everyday life

See attached file for full problem description. Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations ...continues

Cylindrical can holding tennis ball

A cylindrical can is just big enough to hold three tennis balls. The radius of a tennis ball is 5 cm. What is the volume of air that surrounds the tennis balls?

A Little League team is building a backstop for its practice field

A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including base and the center pole are to be made of aluminum tubing. How many feet of ...continues

An Indian sand painter begins his picture

An Indian sand painter begins his picture with a circle of dark sand. He then inscribes a square with a side length of 1 foot inside the circle. What is the area of the circle? See picture in attached file.

Strongly Regular Graph

Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both). Show that this is a strongly regular graph, and find its parameters.

Find all Hamiltonian regular graphs of order 8 and valency 3 up to isomorphism.

Find all Hamiltonian regular graphs of order 8 and valency 3 up to isomorphism. Justify your answer!