In the diagram below, square ABCD has side lengths of 6 inches. Arc AC has been drawn with center at point D. Which of the following is closest to the shaded area in square inches?

7.73

Step-by-step explanation:

In the picture attached, the diagram is shown.

Area of square = side² = 6² = 36 in²

The non-shaded area is quarter the area of the circle's area with radius = side of the square. This area is: (1/4)*π*radius² = (1/4)*π*6² = 28.27 in²

Therefore, the shaded area is: Area of square  - non-shaded area  = 36 in² - 28.27 in² = 7.73 in²

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.

answer: 40392

step-by-step explanation:

10098 x 4 = 40392