Answer:
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
Answer:
A. The football does not reach a height of 15ft
Step-by-step explanation:
Given

Required
Determine which of the options is true
The option illustrates the height reached by the ball.
To solve this, we make use of maximum of a function
For a function f(x)
Such that:
:

i.e we first solve for 
Then substitute
for x in 
In our case:
First we need to solve
Then substitute
for t in 
By comparison:






Substitute
for t in 






This implies that the maximum height reached is 14.0625ft.
So, the option that answers the question is A because 
Answer:
13. i may be wrong im not sure
Answer:
the answer is 1074.49
Step-by-step explanation:
Just add then minus
$0.85 * 4 = $3.40
$6.40 - $3.40 = $300
Brussel sprouts per pound = $300 / 4
= $0.75