This is actually an area problem:
The diameter of the circle is 6 which is the width of the sandbox and the radius is 1/2 of the diameter so r=3
Formula for area= π(r^2) or pi*radius squareThe area of the circle would be 9π which is 28.27
Then you subtract it from the area of the sandbox which is 6*10=60
60-28.27=31.73 which rounds to 32 square feet
Answer: C
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The quotient is 9 so we have 22+9-9 which is. equal to 22
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and
be the sample proportion .
As per given question , we have

z-score : 

The required probability ( using z-table ):-

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
Answer:
x ≈4.244833711
Step-by-step explanation:
x^2=7^2+8^2-2(7)(8)(cos32)
Determine the powers
x^2=49+64-2(7)(8)(cos32)
Multiply from left to right
x^2 = 49+64 - 112cos32
x^2 = 49+64 - 94.98138677
Add and subtract
x^2 =113-94.98138677
x^2 = 18.01861323
Take the square root of each side
sqrt(x^2) = sqrt(18.01861323)
x = sqrt(18.01861323)
x ≈4.244833711
x^2 =113