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user100 [1]
3 years ago
5

Find the area A of the sector of a circle of radius 50 feet formed by the central angle

Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

A=6250\ feet^2

Step-by-step explanation:

Given that,

The radius of circle, r = 50 feet

The central angle, \theta=5\ radian

We need to find the area of the sector of a circle. The formula for the area of sector is given by :

A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2

So, the area f the sector of the circle is 6250\ feet^2.

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Solve the percent problem 76 gallons is 126% of ___ gallons. Round to the nearest hundredth, if necessary.
Burka [1]

Answer:

60.32

Step-by-step explanation:

126%=1.26

60.32*1.26=76.0032

76.0032≈76

7 0
3 years ago
Simplify (3^3)(1/9^2 − 6 + 2)
AnnZ [28]

Answer:

27/77

Step-by-step explanation:

I hope this is correct

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Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...
Neko [114]

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

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A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

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3 years ago
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

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We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

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