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harkovskaia [24]
4 years ago
10

Item 6 Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last

year?
Mathematics
1 answer:
tester [92]4 years ago
7 0

Answer:

$8.40

Step-by-step explanation:

We can write a proportion to find the total amount last year using the information given. A proportion is two equivalent ratios set equal to each other.

\frac{125}{100}=\frac{10.50}{y}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

125(y)=100(10.50)

125y=1050

y=8.40


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e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

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imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

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the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

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