Answer:
The radius of a hexagon is called the apothem, which in this case is 15.
We need to know the side length which is found by the equation:
side length = apothem * 2 * (tan (180 / #sides))
side length = apothem * 2 * (tan (180 / 6))
side length = 15 * 2 * (tan (30 degrees))
side length = 30 * .57735
side length = 17.3205
We need the perimeter of the hexagon which equals the side length times six.
perimeter = 6 * 17.3205 = 103.923
Source: https://www.1728.org/polygon.htm
Step-by-step explanation:
The number of possible combinations is given by
... C(18, 3) = 18!/(3!(18-3)!) = 18·17·16/(3·2·1) = 816 . . . . possible combinations
_____
There are 18 ways to choose the first one; 17 ways to choose the second one, and 16 ways to choose the 3rd one. The same 3 students can be chosen in any of 3! = 6 different orders, so the product 18·17·16 must be divided by 6 to get the number of possible combinations in which order doesn't matter.
The solution would be x=0 because the statement is false.
Answer:
15/8
Step-by-step explanation:
Assuming you mean tan theta
Tan(theta) = opposite/adjacent
We know the adjacent side is 8 so the bottom of the fraction must also be 8
C: 15/8 is the only option that fits this criteria
