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lys-0071 [83]
3 years ago
13

Find the area of the regular polygon below and round your answer to the nearest hundredth.

Mathematics
1 answer:
djyliett [7]3 years ago
3 0
The central angle of each sector is 360°/8 = 45°, so the central angle between a vertex and the apothem is half that, 22.5°. The length of half a side will be
  s/2 = (2 ft)*tan(22.5°) ≈ 0.828427 ft
The area of each of the 8 sectors will be this multiplied by the apothem (2 ft), so is 1.6568 ft². The total area of the 8 sectors is then
  8*1.6568 ft² ≈ 13.25 ft²
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Step-by-step explanation:

let x = ?

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Find the sum of all positive integers less than 200 that are divisible by 7.
Troyanec [42]

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a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21

...

an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7

the sum of an arithmetic sequence is

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with a1 being the first term (in our case 7).

d being the common difference from term to term (in our case 7).

how many terms (what is n) do we need to add ?

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