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Verdich [7]
3 years ago
8

A charity is selling raffle tickets at $5 apiece. Out of the 100 tickets sold, ten third-place winners will be drawn, each winni

ng $20. Five second-place winners will be drawn, each winning $50. Lastly, one grand prize of $100 will be awarded. Is a raffle with these rules a good idea for the charity? Why or why not?
Mathematics
2 answers:
Eduardwww [97]3 years ago
5 0
The Answer is No because that will replace with 0.50cents
Vsevolod [243]3 years ago
3 0
The answer is <span>No, because one ticket’s expected value is worth $0.50 more than the face value. </span>
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alina1380 [7]

By solving a system of equations, we will see that m measures 12 units.

<h3>How to get the measure of m?</h3>

Notice that we have 3 right triangles.

Then we can write the equations:

cos(a) = 6/m

For the small triangle on the left, where m is the hypotenuse.

cos(a) = m/(6 + 18)

For the larger triangle (the one composed of the two triangles).

Where in both equations, angle "a" is the one in the top left.

Then we have the system of equations:

cos(a) = 6/m

cos(a) = m/(6 + 18)

Then we can write:

6/m = m/(6 + 18)

If we simplify the expression, we get:

6*(6 + 18) = m^2

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Then we conclude that m measures 12 units.

If you want to learn more about right triangles:

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