The volume of this triangular prism is 247.5 cubic inches. what is the value of t?
t = __ inches

Volume of a triangle is 1/2 base x height x length.

Using the given information we can find t:

247.5 = 1/2(5)(t)(11)

Simplify:

247.5 = 2.5(t)(11)

247.5 = 27.5t

Divide both sides by 27.5:

t = 247.5 / 27.5

t = 9

Step-by-step explanation:

The formula of a volume of a prism:

B - area of a base

H - height

In the base is the triangle.

The formula of an area of a triangle:

b - base

h - height

We have V = 247.5 in³, b = 5 in, H = 11 in and h = t.

Therefore:

Put them to the formula of a volume:

             divide both sides by 27.5

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!

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6