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galina1969 [7]
3 years ago
8

Jenny likes to paint. She estimates the number of paintings she completes using the function P of w equals one half times w plus

one, where w is the number of weeks she spends painting. The function J(y) represents how many weeks per year she spends painting. Which composite function would represent how many paintings Jenny completes in a year?
A. P of J of y equals one half times J of y plus one
B. P of J of y equals J times the quantity one half times w plus one
C. J of P of w equals one half times J of y plus one
D. J of P of w equals J times the quantity one half times w plus one
Mathematics
2 answers:
Nimfa-mama [501]3 years ago
7 0
The answer to the question is A.
lubasha [3.4K]3 years ago
7 0

Answer:

the answer is A

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Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1 

in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
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in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
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the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

CD=sin24*BD        ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft

the answer part 2)  CD is 6499 ft
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