1) The hypotenuse of a right triangle is 5 centimeters longer than one leg and 10 centimeters longer than the other leg. What are the dimensions of the triangle? 2. The pro?t of a cell phone manufacturer is found by the function y: '2X2+16X+ 75, where x is the cost of the cell phone. At what price should the manufacturer sell the phone to maximize its pro?ts? What will the maximum pro?t be? 3. Afarmer wants to build a fence around a rectangular area of his farm with one side ofthe region against his barn. He has 76 feet of fencing to use for the three remaining sides. What dimensions will make the largest area for the region? 4. A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is 7 feet more than the distance of the base of the ladder from the building. At what height does the ladder hit the building? 5. A basketball player throws the ball toward the basket and misses. The height of the ball is modeled by the function h(t)= - 16tz+48t+6. What is the maximum height of the ball and when does the ball reach its maximum height? When will the ball hit the ground?

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