Need Answers for the below

Directions: Answer each of the following questions. When appropriate, please show work.

1. In a right triangle, find the length of the side not given. Give an exact answer and an approximate to three decimal places. Assume c represents the length of the hypotenuse.

2. In a right triangle, find the length of the side not given. Give an exact answer and an approximate to three decimal places. Assume 14 represents the length of the hypotenuse.

3. If the measures of an object are different, what should be the first step for finding the area of the object?

4. Find the area of the shaded region (the figures are not drawn in perfect proportion). Give the answer in square feet. Round to the nearest thousandth.

5. Find the area of the shaded region (the figures are not drawn in perfect proportion). Give the answer in square feet. Round to the nearest thousandth.

6. Find the volume of the solid (the solid is not drawn in perfect proportion). Give the answer in cubic feet. Use 3.14 for π (pi) and round to the nearest thousandth.

7. Simplify: |-11|

8. Find the opposite or additive inverse: 3/5

9. Compute and simplify: 3.7 + (-7.1)

10. Compute and simplify: -6 + 3 + (-9) + 5

11. Compute and simplify: -3/4 + 1/3

12. Compute and simplify: 7- (-3)

13. Compute and simplify: 3.1 – 6.5

14. Compute and simplify: 1/6 – (-1/3)

15. What are the sign rules for multiplying real numbers?

16. Compute and simplify: 7 x (-3)

17. Compute and simplify: -1/6 x (-2/5)

18. In the course of one five-month period, the water level of a lake went down 8 in., up 10 in., down 4 in., down another 11 in., and up 5 in. How much had the lake level changed at the end of the five months?

19. The population of Charlton was 7200. It decreased by 75 each year for 5 years. What was the population of Charlton after 5 years?