Review Exercises 189 For Exercises 82–88, use the appropriate geometry formula to solve the problem. 82. Find the height of a parallelogram whose area is 42 and whose base is 6 m. 83. The volume of a cone is given by the formula a. Solve the formula for h. b. Find the height of a right circular cone whose volume is 47.8 in.3 and whose radius is 3 in. Round to the nearest tenth of an inch. V 1 3 pr 2h. m2 h r 84. The smallest angle of a triangle is more than 2° 14 of the largest angle.The middle angle is less than the largest angle. Find the measure of each angle. 85. A carpenter uses a special saw to cut an angle on a piece of framing. If the angles are complementary and one angle is 10° more than the other, find the measure of each angle. . 86. A rectangular window has width 1 ft less than its length.The perimeter is 18 ft. Find the length and the width of the window. 87. Find the measure of the vertical angles by first solving for x. 2° (2x 25)° (4x 15)° 88. Find the measure of angle y. y 37° Section 2.7 89. In stormy conditions, a delivery truck can travel a route in 14 hr. In good weather, the same trip can be made in 10.5 hr because the truck travels 15 km/hr faster. Find the speed of the truck in stormy weather and the speed in good weather. 90. Winston and Gus ride their bicycles in a relay. Each person rides the same distance.Winston rides 3 mph faster than Gus and finishes the course in 2.5 hr. Gus finishes in 3 hr. How fast does each person ride? 91. Two cars leave a rest stop on Interstate I-10 at the same time. One heads east and the other heads west. One car travels 55 mph and the other 62 mph. How long will it take for them to be 327.6 mi apart? 92. Two hikers begin at the same time at opposite ends of a 9-mi trail and walk toward each other. One hiker walks 2.5 mph and the other walks 1.5 mph. How long will it be before they meet? 93. How much ground beef with 24% fat should be mixed with 8 lb of ground sirloin that is 6% fat to make a mixture that is 9.6% fat? 94. A soldering compound with 40% lead (the rest is tin) must be combined with 80 lb of solder that is 75% lead to make a compound that is 68% lead. How much solder with 40% lead should be used? Section 2.8 For Exercises 95–97, graph each inequality and write the set in interval notation. 95. 96. 97. 5x 0 x 7 26 e x 0 x f 1 2 5x 0 1 6 x 46 98. A landscaper buys potted geraniums from a nursery at a price of $5 per plant. However, for large orders, the price per plant is discounted by a percentage off the original price. Let x represent the number of potted plants ordered. The corresponding discount is given in the following table. Number of Plants Discount 0% 2% 4% x 99 100 x 199 200 x 299 x 300 6% a. Find the cost to purchase 130 plants. b. Which costs more, 300 plants or 295 plants? Explain your answer.
miller_beginning_intermediate_algebra_4e_ch1_3
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