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iVinArrow [24]
3 years ago
12

What number is 15% of 80? use percent proportions

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0
!5% is equivalent to 15 parts over the whole 100 part. It is written in proportions as 15/100. 

Similarly, you need to find how many parts in 80 are equivalent to 15%or 15/100. So, just equate both equation with x as an unknown.

x/80 = 15/100
x = (15/100)*80
x = 12

Thus, the 15% of 80 is 12.
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timofeeve [1]

Answer:

28.26

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6 0
3 years ago
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A woman standing on a hill sees a flagpole that she knows is 30 ft tall. the angle of depression to the bottom of the pole is 14
77julia77 [94]
Draw a diagram:
from the top of the hill draw a line 18° above the horizontal to the top of the 30 ft pole.
From the top of the hill we draw a line 14° below horizontal to the bottom of the 30 ft pole.
We now have 2 right triangles sharing a common horizontal line,x, to the pole. 
Let y=part of pole above horizontal line
30-y=part of pole below horizontal line.

We shall have the following equations:
y/x=tan 18
30-y/x=tan14

x=y/tan 18
x=(30-y)/tan 14

y/tan 18=(30-y)/tan 14
y tan 14=tan 18(30-y)
ytan 14=30tan 18-ytan18
y tan 14+y tan 18=30tan 18
y(tan 14+tan 18)=30*tan 18
y=(30*tan 18)/(tan 14+tan 18)
x=y/tan 18=30/(tan 14+tan10)=52.2423 ft
thus her distance x from the pole=52.2 ft

3 0
3 years ago
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