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2 years ago

Find the areas of the shaded regions.

Mathematics

1 answer:

diamong [38]2 years ago

7 0

Answer:

41.8887 cm^2

Step-by-step explanation:

area of a circle
A = pi * r^2
A = pi * (3 + 4)^2
A = pi * 49
A = 153.94

120 / 360 = 1/3
153.94 / 3 = 51.3134

now area of inner circle
A = pi * 3^2
A = pi * 9
A = 28.274
28.274 / 3 = 9.4247

subtract
51.3134 - 9.4247 = 41.8887

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3 years ago

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

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c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

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3 years ago

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Step-by-step explanation:

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