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malfutka [58]
3 years ago
14

Consider two circular swimming pools. Pool A has a radius of 22 feet, and Pool B has a diameter of 13.6 meters. Complete the des

cription for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ? 0.305 meters The diameter of Pool A is ... meters. So, the diameter of Pool... Is greater, and the circumference is... By... meters.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

See below.

Step-by-step explanation:

Diameter of pool A = 2 * radius = 2 * 22

= 44 feet

= 44 * 0.305 = 13.42 meters.

The diameter of Pool B ( 13. 6 m)  is greater than the diameter of Pool A.

The circumference of Pool A is 13.42 * pi = 42.16 m and that of B is 42.73 m, so that  the circumference of Pool B is greater than that of Pool A by

0.57 m.

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Orlov [11]
Using the pythagorean identity, we can find the value of sin(A)

cos^2(A) + sin^2(A) = 1
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sin^2(A) = 1 - 144/169
sin^2(A) = 169/169 - 144/169
sin^2(A) = (169 - 144)/169
sin^2(A) = 25/169
sin(A) = sqrt(25/169)
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Which is then used to find tan(A)

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tan(A) = (5/13) divided by (12/13)
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tan(A) = (5*13)/(13*12)
tan(A) = 5/12

The final answer is 5/12

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