Find all angles in degrees that satisfy the equation. Round approximate answers to the nearest tenth of a degree.cos ? = -0.995

A. { ? = -84.3° + k360° or ? = 264.3° + k360°}
B. { ? = 174.3° + k360° or ? = 185.7° + k360°}
C. { ? = -84.3° + k360° or ? = 95.7° + k360°}
D. { ? = 174.3° + k360° or ? = 354.3° + k360°}


Answer: B

Mathematics

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Solve.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.04t where k is a constant and t is the time in years. If the current population is 16,000, in how many years is the population expected to be 40,000? (Round to the nearest year.)

A. 10 yr B. 23 yr C. 128 yr D. 13 yr

Mathematics

Solve the problem.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 111 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.

A. V(r) = ?(111 - r) +  ?r2
B. V(r) = 111?r2 +  ?r3
C. V(r) = ?(111 - r)r3 +  ?r2
D. V(r) = ?(111 - r)r2 +  ?r3

Mathematics

Give the center and radius of the circle. Then sketch its graph.2 + (y + 3)2 = 25

A. center , r = 5

B. center , r = 5

C. center , r = 5

D. center , r = 5

Mathematics

The sum of measures of the angles of a polygon is 900°. How many sides does it have?

(a) 7 (b) 8 (c) 9 (d) 10

Mathematics