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# Week 7 5. Use the Pythagorean theorem to find the missing side. c=3 b=2a; find a and b 6. A brace for a shelf has the shape of a right triangle. Its

Need help with the algebra problems. They are attached below. Do not need the work to be shown just need the answer. Thanks

Week 7 5. Use the Pythagorean theorem to find the missing side. c=3 b=2a; find a and b 6. A brace for a shelf has the shape of a right triangle. Its hypotenuse is 14 inches long and the two legs are equal in length. How long are the legs of the triangle? 7. A college is creating a new rectangular parking lot. The length is 0.15 mile longer than the width and the area of the parking lot is 0.045 square mile. Find the length and width of the parking lot. 8. The area of a rectangular wall of a barn is 96 square feet. Its length is 4 feet longer than twice its width. Find the length and width of the wall of the barn. 9. The area of a triangular flag is 72 square centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base. 10. Greg drove at a constant speed in a rainstorm for 273 miles. He took a break, and the rain stopped He then drove 147 miles at a speed that was 10 miles per hour faster than his previous speed. If he drove for 10 hours, find the car's speed for each part of the trip. 11. The number of inmates N (measured in thousands) in federal and state prisons can be approximated by the equation N=−2.06x 2 +77.89x+742, where x is the number of years since 1990. In what year was the number of inmates expected to be 1,349,530? 12. Bob drove from home to work at 80 mph. After work the traffic was heavier, and he drove home at 25 mph. His driving time to and from work was 1 hour and 3 minutes. How far does he live from his job? 14. A security fence encloses a rectangular area on one side of a park in a city. Three sides of fencing are used, since the fourth side of the area is formed by a building. The enclosed area measures 2312 square feet. Exactly 136 feet of fencing is used to fence in three sides of this rectangle. What are the possible dimensions that could have been used to construct this area?

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