What is the height of a prism with a volume of 18/35 cubic units and a base area of 2/5 square units?

The formula for volume is

... V = Bh . . . . . where B is the area of the base, and h is the height

You have

... 18/35 = 2/5·h

... 18/35·5/2 = h = 9/7

The height is 9/7 units.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)