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Harlamova29_29 [7]
3 years ago
12

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are empty?

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

25

Step-by-step explanation:

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Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

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So now we can right the Pythagorean theorem as follows:

a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0
3 years ago
Read 2 more answers
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