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Margarita [4]
2 years ago
10

What is the length of the shorter leg of a right triangle whose other two sides lengths are 8ft and 10ft long

Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0

Answer:

From the Pythagorean Theorem:

10^2 = 8^2 + x^2

x^2 = 100 -64

x^2 = 36

x = 6 feet


Step-by-step explanation:


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Helen is putting a fence around her flower garden, which is in the shape of half of a circle and a rectangle. If the semicircle
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Answer:

Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

so

P=2L+W+\frac{1}{2}\pi D

we have

L=10\ ft\\W=7\ ft\\D=7\ ft\\\pi =\frac{22}{7}

substitute

P=2(10)+7+\frac{1}{2}(\frac{22}{7})(7)

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therefore

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Part 2)  What is the perimeter around the three sides of the rectangular section of the garden?

P=2L+W

we have

L=10\ ft\\W=7\ ft

substitute

P=2(10)+7

P=20+7=27\ ft

therefore

The perimeter around the three sides of the rectangular section of the garden is 27 feet

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Find the circumference of semicircle

C=\frac{1}{2}\pi D

we have

D=7\ ft\\\pi =\frac{22}{7}

substitute

C=\frac{1}{2}(\frac{22}{7})(7)

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therefore

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