A. Write the formula for the volume V of a prism where B is the area of the base and h is the height. V= b. Solve the formula for B. B= c. Use the new formula to find the area of the base of the prism. The area of the base of the prism is square inches.

Step-by-step explanation:

The question lacks the required diagram, find the diagram attached.

Volume of the pyramid V = BH where;

B is the base area

H is the height of the prism.

b) To solve for B, we will have to make B the subject of the formula from the equation in a;

From (a);

V = BH

Divide both sides by H

V/H = BH/H

V/H = B

B = V/H

c) Since we are not given the volume and height of the prism, we can as well use the following parameters;

Let us assume Volume of the prism = 175in³  and  eight of the prism H = 5in

Substitute this values into the equation derived in (b)

B = 175in³/5in

Hence the area of the base of the prism is square inches is 35in²

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb