Find the unknown side of the right triangle. Use a calculator or square root table when necessary and round to the nearest thousandth.
A. 8 km
B. 130 km
C. 11.402 km
D. 65 km
Answer: C
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Find the center of mass of the lamina that occupies the region D and has the given density function, if D is bounded by the parabola y = 1 - x² and the x-axis.
p(x,y) = 4y
Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A. 7 P1 planes and 11 P2 planes B. 9 P1 planes and 13 P2 planes C. 11 P1 planes and 7 P2 planes D. 20 P1 planes and 0 P2 planes
Solve the problem.Rental on a car is $130 plus $0.02 per mile. If x represents the number of miles driven and f(x) represents the total cost to rent the car, a linear function that models the situation is 
Find the value of x if 
Interpret your answer in the context of this problem.
A. 3800; It costs $3800 to drive the rental car 206 miles. B. 3800; It costs $206 to drive the rental car 3800 miles. C. 134; It costs $206 to drive the rental car 134 miles. D. 134; It costs $134 to drive the rental car 206 miles.
Solve.The weight W of an object on the Moon varies directly as the weight E on earth. A person who weighs 109 lb on earth weighs 21.8 lb on the Moon. How much would a 166-lb person weigh on the Moon?
A. 830 lb B. 0.2 lb C. 296.8 lb D. 33.2 lb