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Murrr4er [49]
3 years ago
13

George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of

16 inches. The cone is open at one end. To the nearest square unit, what is the lateral area of the hat?

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
The answer is 112 inches²

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<h2>Answer:</h2>

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Step-by-step explanation:

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Answer:

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We need to use the substitution method to solve the system of equations.

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y = 10x-9--eq(1)\\y = x + 18--eq(2)

Putting value of y from equation 2 into equation 1

y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3

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y=x+18\\x=y-18

Now, putting value of x in equation 1

y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21

So, we get value of y=21

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