Arectangular prism has a length of 45 inch and a width of 13 inch. the volume of the prism is 3245 cubic inch. find the height of the prism. write your answer as a mixed number in simplest form.

The formula for volume of a rectangular prism is V = L x W x H

We can replace the letters in the formula with the given information to solve for the missing height.

3245 = 45 x 13 x H

Simplify the right side:

3245 = 585 x H

To find H, divide both sides by 585:

H = 3245 / 585

H = 5 320/585 = 5 64/117

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it