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3 years ago

A circle has an 18-inch radius and a shaded sector with a central angle of 50°. Determine the area of the shaded sector.

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

Answer:

Area of shaded region is 141.3 square inches

Step-by-step explanation:

It is given that,

A circle has an 18-inch radius and a shaded sector with a central angle of 50°

Area of circle = πr²

To find the area of circle

Area of circle = πr² = 3.14*18² = 3.14 * 18 * 18

Area = 1017.36 square inches

To find the part of shaded region

central angle of shaded region is 50°.

part of sector = 50/360 = 5/36

To find the area of shaded region

area of shaded region is 5/36th of total area of circle

Area of shaded region = 5/36(1017.36) = 141.3 square inches

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3 years ago

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Maru [420]

Answer:

$9\text{ln}|x|+2\sqrt{x}+x+C$

Step-by-step explanation:

We have been an integral $\int \frac{9+\sqrt{x}+x}{x}dx$ . We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

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Using common integral $\int \frac{1}{x}dx=\text{ln}|x|$ , we will get:

$9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx$

Now, we will use power rule of integrals as:

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$9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx$

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We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

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3 years ago

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Dafna1 [17]

Answer:

Step-by-step explanation:

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3 years ago

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nignag [31]

Answer:

$\frac{b^{-2}}{ab^{-3}}=\frac{b}{a}$

Step-by-step explanation:

Writing the description in algebraic translation

$\frac{b^{-2}}{ab^{-3}}$

so we have to find the expression which will be equal to $\frac{b^{-2}}{ab^{-3}}$ .

Considering the expression

$\frac{b^{-2}}{ab^{-3}}$

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so the expression becomes

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Therefore,

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3 years ago

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