Find the area of the shaded region in the polygon below.

Step-by-step explanation:

The area of a pentagon given the radius is

Area = (5/2)r^2 * sin(72º)

r = 7

Area = (5/2)*7^2 * sin(72)

Area = 122.5 * 0.95106

Area = 116.5

r = 5

Area = (5/2) * 5^2 * sin(72)

Area = 59.4

Area of the shaded area = 116.5 - 59.4

Area of the shaded area = 57.1

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

no he doesnt because "-16' is negatiive

step-by-step explanation: