A storage bin in the shape of a rectangular prism has a volume of 5400 cubic inches the base area of the stores Venice 450 square inches what is the height of the storage bin

12 inches

Step-by-step explanation:

The storage bin is in the shape of a rectangular prism.

Its volume is 5400 cubic inches and its base area is 450 square inches.

The volume of a rectangular prism is given as:

V = L * W * H

where L = length

W = width

H = height

The product of the length and width gives the base area of the rectangular prism:

A = L * W

This implies that:

V = A  * H

=> 5400 = 450 * H

H = 5400 / 450

H = 12 inches

The height of the bin is 12 inches.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!