Draw a picture of a building and a one mile (or 5280 feet) distance to a point from the base of the building.
The angle of elevation is given as 11° and we want the height of the building or x.
tan(11°) = x/5280
5280 tan(11°) = x
1026.3 feet = x
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F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Step-by-step explanation:
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Answer:
5/3min
Step-by-step explanation:
Yo only have to divide 5/6 miles by 3/6 mile/min to know the time it will take to cover a distance given a velocity.
5*6=30
6*3=18
30/18 = 5/3min!!
Answer:
C. 76 + 7i
Step-by-step explanation:
49 squared is 7 and since it's negative, it is an imaginary number. Therefore, it is 7i. Which leaves C to be the correct option.