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3 years ago

Find the area of the shaded region.

Mathematics

1 answer:

Citrus2011 [14]3 years ago

3 0

Answer:

pi × 18cm^2

Or approximately,

56.52cm^2 (using 3.14 for pi)

56.5487cm^2 (using pi button on calculator)

Step-by-step explanation:

Area of a circle is pi times [radius squared].

All circles are 360°.

Problem can be solved by finding area of whole circle, and then using ratios.

Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2

80° / 360° = Area[shaded] / (pi × 81cm^2)

pi × 18cm^2 = Area[shaded]

((If you read my answer before the edit, I am sorry. I made a calculator error.))

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3 years ago

Evaluate the expression using a calculator:

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The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

a⁻ⁿ = 1/aⁿ; negative exponent
(ab)ⁿ = aⁿ × bⁿ; power of a product rule
aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
aⁿ/aˣ = aⁿ⁻ˣ; division rule
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The given expression is $126^{-3/4}$

Using calculator: $126^{-3/4}$ = 0.0265

Applying the exponent rule for evaluating the given expression:

$126^{-3/4}$

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ $126^{-3/4}=\frac{1}{126^{3/4}}$

Applying fractional exponent rule;

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⇒ $\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }$

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1 year ago

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2 years ago

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Answer:

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3 years ago

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Answer:

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