The window shown is the shape of a semicircle with a radius of 6 feet. the distance from f to e is 3 feet and the measure of = 45°. find the area of the glass in region bcih, rounded to the nearest square foot.

11 ft^2

Step-by-step explanation:

In the first figure attached, a graphical representation of the problem can be seen.

The area of the glass in region BCIH is equivalent to 1/8 of the "ring" area formed by the subtraction of the smaller circle to the bigger circle (see the second figure attached).

The number 1/8 comes from knowing that a circle form an angle of 360° and the angle between segments GC and GB is 45°, then, the area of the region of interest is 45°/360° = 1/8 respect the entire "ring".

The segment GF plus segment FE is equal to the radius of the bigger circle, which is 6 ft . Therefore,

GF + FE = 6 ft

GF = 6 ft - 3 ft

GF = 3 ft

"Ring" area is equal to the subtraction of the smaller circle area to the bigger circle area. Mathematically:

Ring area = pi*(6 ft)^2 - pi*(3 ft)^2

Ring area = 84.78 ft^2

Area of the glass in region BCIH = (1/8)*84.78 ft^2 = 11 ft^2

i think the correct option is the second option.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.