Provide an appropriate response.Two surveyors are working together to determine the width of a lake using a large pine tree as a reference point on the opposite shore. The distance between the two surveyors is 279.0 meters, and the measurement of angle A is 32°. Round distances to the nearest tenth. What is the measurement of angle B?

Fill in the blank(s) with the appropriate word(s).


58°

Mathematics

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Solve the problem.A loaf of bread is removed from an oven at  and cooled in a room whose temperature is . If the bread cools to  in 20 minutes, how much longer will it take the bread to cool to 

A. 14 min B. 15 min C. 34 min D. 24 min

Mathematics

Solve the system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.

A. {(2, 1)} B. no solution; ? C. {(2, -1)} D. {(1, 2)}

Mathematics

Find the equation of the tangent line to the graph of f at the given point.f(x) = 5x2 + x at (-4, 76)

A. y = 10x + 1 B. y = -39x - 232 C. y = -39x - 80 D. y = 10x

Mathematics

Solve the problem.A retired couple has $160,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 6%. The rest they want to invest in AA bonds yielding 10% per year. How much should they invest in each to realize exactly $14,400 in interest per year? Use the table below to write the system of equations that will solve the problem.

A.

B.

C.

D.

Mathematics