Since the triangle will be a 30-60-90, because 360°/6 = 60° for each central angle, then that is bisected to find the height of each of the 6 equilateral triangles. This height is the same as the apothem.
In a 30-60-90 triangle, the sides are is the ratio of:

where x is opposite the 30° and 2x is opposite the 90°
Since the base is 10 and the hypotenuse is 10, 1/2 that is 5 (the x), and so:

So rounded up, you apothem then is closest to D) 9 in.
Dear Pleaseanswerback, the value of 6 in 26.495 is greater than the 6 in 17.64 because the 6 in 26.495 is 6, and the 6 in 17.64 is 0.6. 6 is greater than 0.6 so the value of 6 in 26.495 is greater.
Answer:
We set up 2 equations
A) C + A = 100
B) 5C + 12A = 780
We multiply A by -5
A) -5C -5A = -500 then we add B
B) 5C + 12A = 780
7A = 280
Number of Adults = 40
5C = 780 - 40*12
5C = 780 -480
5C = 300
Number of Children = 60
Step-by-step explanation:
The volume is basically the length times width times height of a rectangular prism or V=lwh.
We can apply this formula to solve for the volume
3/2x3x11/2
=99/4
Therefore, the volume of the prism is 99/4