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erik [133]
2 years ago
6

An automobile repair facility recently purchased a 200-foot roll of flexible plastic tubing for $47.03 . Compute the cost in cen

ts per foot. (round to the nearest cent.)
Mathematics
1 answer:
mojhsa [17]2 years ago
7 0
The cost is 24 cents per foot.

We find this by dividing the cost of the roll by the number of feet in the roll:

47.03/200 = 0.235 ≈ 0.24
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1) To find x we are going to use the Pythagorean equation:
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where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
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Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
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3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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