An art student is searching for a rectangular canvas to paint on. His professor requires that both the height and width of the canvas exceed 12 inches, but because of the lack of framing materials, the perimeter cannot exceed 60 inches. Which of the following systems correctly describe the possible lengths (l) and width (w) of the canvas?

A) I<12
w<12
I+w<=60

B) I>12
w>12
I+w<=60

C) I<12
w<12
2I+2w<=60

D) I>12
w>12
2I+2w<=60

Drag and drop the answers into the boxes to complete this informal argument explaining how to derive the formula for the volume of a cone. since the volume of a cone is part of the volume of a cylinder with the same base and height, find the volume of a cylinder first. the base of a cylinder is a circle. the area of the base of a cylinder is , where r represents the radius. the volume of a cylinder can be described as slices of the base stacked upon each other. so, the volume of the cylinder can be found by multiplying the area of the circle by the height h of the cylinder. the volume of a cone is of the volume of a cylinder. therefore, the formula for the volume of a cone is 1/3 1/2 1/3πr^2h 1/2πr^2h πr^2h πr^2

Which statement accurately explains whether a reflection over the x-axis and a 180° rotation would map figure acb onto itself?

Aclass consists of 55% boys and 45% girls. it is observed that 25% of the class are boys and scored an a on the test, and 35% of the class are girls and scored an a on the test. if a student is chosen at random and is found to be a girl, the probability that the student scored an ais