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netineya [11]
3 years ago
12

The equation of a circle is x^2 + y^2= 42.25 Find the radius of the circle.

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

radius = 6.5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 42.25 ← is in this form

with r² = 42.25 ( take the square root of both sides )

r = \sqrt{42.25} = 6.5

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A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr
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Height of the pentagon = 9 ft

Edge of base = 3 ft

area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

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Volume of the pentagon = area of base (height )

Volume of the pentagon = 15.4852 (9)

Volume of the pentagon = 139.366

Volume of the pentagon = 139.37 cu.ft


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