Katherine has a fish tank shaped like a triangular prism in her living room. The triangle that forms the base of the tank has a base of 24 inches and a height of 20 inches. The entire tank is 36 inches tall. What volume of water is needed to fill the tank if the tank is only filled to 6 inches below the top?

Step-by-step explanation:

Given

--- base of the tank base

--- height of the tank base

--- height of the tank

Required:

Determine the volume of water needed for 6 inches below the top

First, calculate the area of the tank base.

If the tank is filled 6 inches below the top, this means that the height of the water is H - 6.

So, the volume is:

Substitute 240 for Area and 36 for H

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

hdjd

step-by-step explanation: