Find the value of the indicated trigonometric function of the angle ? in the figure. Give an exact answer with a rational denominator.Find cot ?.

A.
B.
C.
D.


Answer: C

Mathematics

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In a certain lake the intensity of light from the surface decreases by  40% for each additional meter of depth.   ? A: Explain why light intensity is an exponential function of depth. ? B: Using for intensity at the surface of the lake,  write a formula that gives the intensity  I of light ?d meters below the surface. ? C: At what depth will light intensity be one tenth of surface intensity? Round your answer to two decimal places if necessary. ?

What will be an ideal response?

Mathematics

For the given function:(a) Find the intervals on which the function is increasing and decreasing. (b) Then identify the function's local extreme values, if any, saying where they are taken on.(c) Which, if any, of the extreme values are absolute?f(x) = xex

What will be an ideal response?

Mathematics

Solve the inequality. Other than ?, graph the solution set on a number line.-5x ? 45

A. [9, ?)

B. [-9, ?)

C. (-?, -9]

D. (-?, 9]

Mathematics

Find the seven pattern. ?  

A. 7, 5, 3, 1, 8, 7, 5, 3, 9, . . . B. 7, 6, 4, 2, 7, 7, 5, 3, 8, . . . C. 7, 6, 3, 2, 8, 7, 4, 3, 9, . . . D. 7, 5, 3, 1, 8, 6, 4, 2, 9, . . . E. 7, 5, 4, 1, 7, 6, 5, 2, 8, . . .

Mathematics