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astra-53 [7]
3 years ago
11

Find the area of the hexagon. i will mark brainliest and pls explain.

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

  • C. 150√3

Step-by-step explanation:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

<u>The ratio of the legs, as per property of 30-60-90 triangle:</u>

  • s : a = 1 : √3 ⇒ s : 5√3 = 1 : √3 ⇒ s = 5

Half the side is s = 5 units, then side of the hexagon is 10 units.

<u>The area of the hexagon:</u>

  • A = 1/2Pa, P- perimeter, a- apothem
  • A = 1/2(6*10)*(5√3) = 150√3

Correct choice is C

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Answer:

In your question where Ben uses a compass and straight edge to construct angle DEF equals to angle ABC as shown in the diagram. In my calculation the possible answer to the following questions is angle DEF is equals to angle ABC when JK is constructed equals to HI.

Step-by-step explanation:

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Answer:

degree of length = 1

degree of width = 1

degree of height = 3

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Step-by-step explanation:

V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4

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d²V/dx² = 80x³ - 12x²

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Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 =               - 162/800000 = - 81/400000

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4 years ago
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