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: it’s 3
Step-by-step explanation:
As a disclaimer, I can't say I'm completely confident in this answer. Use at own risk.
Formulas:
Year 1: 328,000 (sales) - 117,000 (expense) = 211,000 (profit)
Year 2: 565,000 (sales) - x (expense) = y (profit)
Net Profit: 211,000 + y = 113,000
Math
211,000 (profit y1) + 565,000 (sales y2) = 776,000
776,000 - 113,000 (net profit) = -663,000 (expenses)
Confirm:
Net Profit: 211,000 + y = 113,000 (listed in formulas, just a reminder)
Plug in: 565,000 (y2 sales) - 663,000 (our solution) = -98,000
211,000 (y1 net) + -98,000 (our plug in) = 113,000 (2 year net profit given to us)
