Use a proportion to solve the problem.On Anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 679 times per mile, how many times does she turn the pedal in one mile?
A. 388 times
B. 1188.3 times
C. 683 times
D. 686 times
Answer: A
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Find the vertices of the hyperbola.4y2 - x2 - 40y + 8x + 80 = 0
A. (-6, -5) and (-2, -5) B. (4, 6) and (4, 4) C. (-4, -4) and (-4, -6) D. (2, 5) and (6, 5)
Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 5.5 N B. 5.3 N C. 5.6 N D. 6.7 N
Solve the problem.A building 250 feet tall casts a 50 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 5 feet above ground level.)
A. 78.69° B. 11.78° C. 78.22° D. 78.47°
Divide and express the result in standard form.
A. 
+ 
i
B. 
+ 
i
C. 
+ 
i
D. 
- 
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