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Pavlova-9 [17]
2 years ago
11

Harper surveyed 380 of the students in her school about their favorite color. 57 students said their favorite color was red. Wha

t percentage of the surveyed students said their favorite color was red?
Mathematics
1 answer:
larisa86 [58]2 years ago
7 0

There are 380 students surveyed. Also, 57 of the students stated that their favourite colour was red. Hence, we can construct a fraction here, and it would be 57/380. Now, we divide the fraction - like 57 divided by 380 to get a decimal to convert to a percent. As a result, we get 0.15, then we multiply 0.15 by 100 to get 15% as our final answer.

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This is a 30-60-90 right triangle.  This type of triangle has a special relationship among the sides.  Let the smallest side, across from the 30° angle, be t.  This means JL = t.

The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.

The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.

Comparing JK to KL, we have

\frac{t\sqrt{3}}{2t}

The t on top and bottom cancel out, leaving us with the ratio (√3)/2.  This means that JK = ((√3)/2)KL.

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