thederpbro
08.11.2019 •
Mathematics
Find the missing factor in the exponential form 60^9=12^9*(blank)
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Ответ:
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.
The ratio of the legs, as per property of 30-60-90 triangle:
s : a = 1 : √3 ⇒ s : 5√3 = 1 : √3 ⇒ s = 5Half the side is s = 5 units, then side of the hexagon is 10 units.
The area of the hexagon:
A = 1/2Pa, P- perimeter, a- apothemA = 1/2(6*10)*(5√3) = 150√3Correct choice is C