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3 years ago

A circle with radius 6 has a sector with a central angle of 48 what is the area of the sector

Mathematics

2 answers:

inn [45]3 years ago

5 0

Answer:

≈ 15.08 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{48}{360}$ ( r is the radius )

= π × 6² × $\frac{48}{360}$

= 36π × $\frac{48}{360}$ = π × $\frac{48}{10}$ = $\frac{48\pi }{10}$ ≈ 15.08

Reil [10]3 years ago

3 0

Answer:

24/5 pi

Step-by-step explanation:

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satela [25.4K]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\$

$\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{2}{7}=\cfrac{\sqrt[3]{32}}{\sqrt[3]{v}}\implies \cfrac{2}{7}=\sqrt[3]{\cfrac{32}{v}}\implies \left( \cfrac{2}{7} \right)^3=\cfrac{32}{v}
\\\\\\
\cfrac{2^3}{7^3}=\cfrac{32}{v}\implies v=\cfrac{7^3\cdot 32}{2^3}$

5 0

3 years ago

A grocery store sells long grain rice for 2.49 per pound. Write an expression for the cost of y pounds of long grain rice.

OleMash [197]

Answer:

Step-by-step explanation:

Cost = 2.49 * y

You really should spend the time. Math is used everywhere.

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1 year ago

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notsponge [240]

Answer:

Step-by-step explanation:

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2 years ago

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Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24

ludmilkaskok [199]

For this case we have the following polynomial:

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What we must do for this case is to factor the polynomial, so that we have:

1) The number of bottles

2) the weight of each bottle.

We have then:

$12 (5x ^ 2 + 4x + 2)$

Answer:

A factorization that could represent the number of water bottles and weight of each water bottle is:

$12 (5x ^ 2 + 4x + 2)$

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3 years ago

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lesya [120]

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