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GalinKa [24]
3 years ago
5

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the

people currently on the bridge is 675 pounds. You weigh 156 poundYour friend weighs 182 pounds. Can you and your friend both walk on the bridge? Explains.
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
No, because if you add both of you and your friend's weight, it becomes 338. if you add that to 675, it becomes 1,013 lbs., which is over 1,000 lbs.
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Answer:

Heptagon = 84 ft²

Octagon  = 186 yd²

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Step-by-step explanation:

\textsf{area of a regular polygon}=\dfrac12ap

where:

  • a = length of apothem
  • p = perimeter

<u>Heptagon</u>

a = 5.0 ft

p = 33.6 ft

⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²

<u>Octagon</u>

a = 7.5 yd

p = 8 x 6.2 = 49.6 yd

⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²

<u>Triangle</u>

Formula for the apothem of an equilateral triangle :

a=\dfrac{s}{2\sqrt{3}}  where s = side length

a = 4, so:

4=\dfrac{s}{2\sqrt{3}}

\implies 8\sqrt{3}=s

Now we know the side length, we can calculate the perimeter (p):

p = 3 x 8√3 = 24√3

⇒ area = 1/2 x 4 x 24√3 = 48√3 m²

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