Consider rectangel CREB that is formed of squares COAB and OREA, where
Determine the values of m and n and the length of RB.
Prove directly from the definition of congruence modulo n that if a,c, and n are integers,
The formula for the volume of a cylinder is
Find the circumference of a circle with diameter
Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:
Begin with a circular piece of paper with a4-in. radius as shows in (a). cut out a sector with an arc length of x.Join the two edges of the remaining portion to form a cone with radius r and height h, as shown in (b).
a) Explain why the circumference of the bas eofthe cone is
b) Express the radius r as a function of x.
c) Express the height h as a function of x.
d) Express the volume V of the cone as afunction of x.