the length of a rectangle is 5 centimeters less than twice its width. the perimeter of the rectangle is 26 cm. what are the dimensions of the rectangle?

a. length = 5 cm; width = 5 cm
b. length = 7 cm; width = 6 cm
c. length = 6 cm; width = 7 cm
d. length = 4 cm; width = 9 cm

Acredit card advertises an annual interest rate of 23%. what is the equivalent monthly interest rate?

The number of branches on a tree demonstrates the fibonacci sequence. how many branches would there be on the next two levels of this tree? 13 | | | m branches

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)