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3 years ago

What is the approximate area of the shaded sector in the circle shown below?

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

13.1 in^2

Step-by-step explanation:

apex!!!

pychu [463]3 years ago

3 0

Answer : The correct option is, (A) $13.1in^2$

Step-by-step explanation :

To calculate the the area of shaded sector in the circle in degree, the formula used as:

$A=\frac{\theta}{360}\times \pi r^2$

where,

A = area of sector

$\theta$ = angle = 60°

r = radius of circle = 5 in

Now put all the given values in the above formula, we get:

$A=\frac{60}{360}\times 3.14\times (5in)^2$

$A=13.1in^2$

Therefore, the approximate area of the shaded sector in the circle is, $13.1in^2$

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PolarNik [594]

Answer:

234.67 in³

Step-by-step explanation:

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7 0

2 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

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2 years ago

What is the vertex of the parabola defined by the equation

avanturin [10]

Answer: B. (2,2)

Step-by-step explanation:

The vertex of the parabola in the form $(x-h)^2 = 4p(y-k)$ is (h, k).

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1 year ago

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djverab [1.8K]

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The tallest container holds the most liquid. Identical containers can have a different capacity.

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2 years ago

Christopher is thinking of two positive integers. The sum of the integers is 27. When twice the first integer is added to half o

LenKa [72]

Answer:

Let x and y be the two positive integers the Christopher is thinking.

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2 years ago