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:
JIG and JIL
Step-by-step explanation:
Adjacent angles share a side
I hope this helps :)
Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard and accept .
In fact, we have
and
which is the only solution.
Answer:
1. D
2.C
3. A
4.B
5.C
6. C? or D(i think c cause it's 3 places but it can be d because the 0 is just a placeholder)
7.C
8.C
Step-by-step explanation: