Question

Answer questions 15 and 17 show work pls

Answer 1

#15) B. 30 mn^5

#17) B. 1/2

Explanation:

#15:

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

• 1/2(3 + 9) * 5

Solve inside the parentheses first. Add 3 and 9.

• 1/2(12) * 5

Multiply 12 and 1/2 together.

• 6 * 5

Multiply 6 and 5.

• 30

We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

#17:

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

• 2 / 4 = 1/2

The answer is B. 1/2.