Solve the problem.A plane flying a straight course observes a mountain at a bearing of 31.8° to the right of its course. At that time the plane is  from the mountain. A short time later, the bearing to the mountain becomes 41.8°. How far is the plane from the mountain when the second bearing is taken (to the nearest tenth of a km)?

A. 4.2 km
B. 11.4 km
C. 10.1 km
D. 6.3 km


Answer: D

Mathematics

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Create the required linear function an use it to answer the question.Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 791. Based on these two data points, create a linear equation for the function that describes how score varies as a function of time.

A. s = 3.8475t + 495.75 B. s = -4.275t + 491.75 C. s = 3.8475t - 495.75 D. s = 4.275t + 491.75

Mathematics

Find the slope of the curve at the given point P. y = -4x + 14, P(2, 6)

A. - 
B. -4
C. -14
D. 14

Mathematics

Write the best-fit linear model for the data.The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Find a linear function that approximates a student's score as a function of the number of hours he or she studied. 

A. y = 33.7 - 2.14x B. y = 67.3 + 1.07x C. y = 33.7 + 2.14x D. y = -67.3 + 1.07x

Mathematics

Solve the problem.Assume that the elevation E, in feet, of a sag in a proposed route is given by  where x represents the horizontal distance in feet along the proposed route and 0 ? x ? 5000. For what x-values is the elevation 1200 feet or more? Round your answer to the nearest foot.

A. x > 345 (feet) B. x < 355 (feet) C. x < 345 (feet) D. x > 355 (feet)

Mathematics