Answer:
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the we can deduce that
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of which is our answer.
9514 1404 393
Answer:
D. Both functions are decreasing at the same average rate on that interval
Step-by-step explanation:
The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.
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Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.
