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Zina [86]
3 years ago
13

About how many laps around the perimeter of the field would equal 1 mile? Explain

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
<span>So if you run around the outside of the enfield, it would take a little more than 5 laps to reach one mile. If you cut across at the goal line, you lap would only be 306.6 yards and it would take 5.74 laps to reach 1 mile </span>
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sergey [27]

see  the attached figure to better understand the problem

Let

2L---------> lenght side of hexagon


we know that

in one of those triangles

sin 30=1/2

sin 30=L/hypotenuse

solve for L

L=hypotenuse*sin 30-------->L=( 1 8 √ 3 )*(1 /2)------> L=9√3 units


Find the perimeter

perimeter=(2L)*6--------> L*12-------> Perimeter=9√3*12--------->108√3 units


therefore


the answer is

the perimeter of the regular hexagon is 108√3 units

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Step-by-step explanation:

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Answer:

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3 years ago
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