The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²
Answer:
(a)0.75x+1200=3.50x
(b)
(c)0.75x+1200<3.50x
(d)
It means the store needs to sell more than 436 funnel cakes to make a profit
Step-by-step explanation:
Given the Cost and revenue function of John boy and Mary Ellen's food stand below:
C= 0.75x+1200.
R=3.50x
(a)When Cost = Revenue
Then:
0.75x+1200=3.50x
(b)To solve the equality from part (a) above
0.75x+1200=3.50x
Collect like terms
1200=3.50x-0.75x
1200=2.75x
Divide both sides by 2.75
When Cost equals revenue, it is the <u>Break-Even Point.</u> It means the food stand will have to sell 436 funnel cakes to break even.
(c) When Cost is Less than Revenue
(d)Solving the inequality
C(x)<R(x)
0.75x + 1200<3.50x
Collect like terms
1200<3.50x-0.75x
1200<2.75x
Divide both sides by 2.75
It means the store needs to sell more than 436 funnel cakes to make a profit.