<h3>
Answer:</h3>
48
<h3>
Step-by-step explanation:</h3>
Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...
... CD +DP = (x+2) +(16-x) = 18
The radius of circle O is ..
... OC + CD = (x) + (x +2) = 2x+2
The length OP is ...
... OC + CP = (x) + (18) = x+18.
Now, the perimeter of ΔAOP is ...
... radius of circle O + radius of circle P + OP = 80
... = (2x+2) + 18 + (x+18) = 3x+38 = 80
Then x is ...
... x = (80 -38)/3 = 14
and the radius of circle O is
... 2x +2 = 2·14 +2 = 30
The desired sum is ...
... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18
... OB + BP = 48
9514 1404 393
Answer:
pool radius is 8+4√5 ≈ 16.94 meters
Step-by-step explanation:
Let r represent the radius of the pool. Then r+2 is the radius to the outside of the walkway. The ratio of areas is given as 4/5, so we have ...
πr²/(π(r+2)²) = 4/5
5r² = 4(r² +4r +4) . . . . cross-multiply
r² -16r -16 = 0 . . . . . . . subtract the right-side expression from both sides
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r² -16r +64 = 80 . . . . . add 80 to complete the square
(r -8)² = 80
r -8 = √80 = 4√5 . . . . square root; use only the positive root
r = 8 +4√5 ≈ 16.94 . . . meters
The radius of the pool is 8+4√5 ≈ 16.94 meters.
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The area of a circle of radius r is given by the formula ...
A = πr²
Answer:
The answer is number 2 because a positive number is always bigger than a negitive number
-1.825. you subtract 16.2 from 1.6. then divide that number by 8
Answer:
I would say triangle. But I am not completely sure!
Step-by-step explanation:
Hope this helps!
