Solve the problem.The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is
,where the symbol ± indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are (5, 7), (8, -8), and (-2, -5).
A. 141
B.
C. 3
D.
Answer: B
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Rita jogs for 8 miles and then walks an additional 11 miles. She jogs at a rate twice her walking rate and she covers the entire distance of 19 miles in 3 hours. Find the rate she jogs and the rate she walks.
A. 10 miles per hour jogging and 5 miles per hour walking B. 6 miles per hour jogging and 3 miles per hour walking C. 6 miles per hour jogging and 7 miles per hour walking D. 20 miles per hour jogging and 10 miles per hour walking E. 14 miles per hour jogging and 7 miles per hour walking
Solve.The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 5 amperes when the resistance is 342 ohms. What is the current when the resistance is 864 ohms?
A. 0.08 amps B. 12.6 amps C. 0.51 amps D. 2 amps
Solve the problem.From a balloon 826 feet high, the angle of depression to the ranger headquarters is 68°17'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?
A. 319 ft B. 324 ft C. 334 ft D. 329 ft
State using percents.In a survey of 100 people, 8 preferred raspberry syrup on their ice cream. What percent did NOT prefer raspberry syrup?
A. %
B. %
C. 92%
D. 8%