As astronomer observes that at point A on the planet Mercury at a particular time the sun is directly in line with point A and the center of the planet. At the same time, the sun’s rays form an angle of 5° with the vertical at point B on the surface of the planet. She determines that point B is roughly 213 km south of point A. Using this data, what will she calculate Mercury’s diameter to be? (See sketch.)
4882 km.
Mathematics
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Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.
A. x25/3
B. 
C. 
D. x17/3
Mathematics
Divide and simplify.
÷ 
A. 
B. x + 4
C. (x + 4)(x - 3)
D. 1
Mathematics
Solve the problem.The average value of a certain type of automobile was $13,080 in 1992 and depreciated to $5220 in 1997. Let y be the average value of the automobile in the year x, where x = 0 represents 1992. Write a linear equation that models the value of the automobile in terms of the year x.
A. y = -1572x + 5220
B. y = - 
x - 5220
C. y = -1572x + 13,080
D. y = -1572x - 2640
Mathematics
Solve the formula for the specified variable.A = 
bh for b
A. b = 
B. b = 
C. b = 
D. b = 
Mathematics