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3 years ago

7

Find the area of the blue shaded region. Round your answer to the nearest hundredth.

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:

173.01

Step-by-step explanation:

To area of a sector or portion of a circle is found using:

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

Substitute N = 50 and A = 27.93.

It becomes $27.93 = \frac{50}{360} \pi r^2\\27.93 = 0.139 \pi r^2\\200.94 = \pi r^2$

The area of the entire circle is 200.94. The area of the blue part of the circle can be found by subtracting the red section from the entire circle.

200.94 - 27.93 = 173.01

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sketch the curve represented by the parametric equations (indicate the orientation of the curve), write the corresponding rectan

pychu [463]

Answer:

Reduced equaton is $5x-3y+\frac{28}{3}=0$ .

Step-by-step explanation:

Given parametric equation is,

$x=3t-5$ and $y=5t+1$

Now, $x=3t-5\implies t=\frac{x+5}{3}$ substitute in second equation we get,

$y=\frac{5}{3}(x+5)+1$

$y=\frac{5}{3}x+\frac{28}{9}$

$\implies 5x-3y+\frac{28}{3}=0$

which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

$y=\frac{5}{3}x+\frac{28}{9}$

Of which,

Slope : $\frac{5}{3}$

when,

$x=0, y=\frac{28}{9}=3.1$

$x=1, y=\frac{43}{9}=4.8; x=-1, y=\frac{13}{9}=1.4$

$x=2, y=\frac{58}{9}=6.4; x=-2, y=\frac{-2}{9}=-0.2$

$x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8$

$x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6$

$x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2$

ans so on. Thus sketching th curve will look like given,

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2 years ago

If you can walk 5.8 miles in 4.3 hours, how many minutes does it take to walk 0.64 miles? Round to 1 decimal.

Vinil7 [7]

Answer:

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2 years ago

Determine the position of a given value.

kolezko [41]

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3 years ago

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Musya8 [376]

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3 years ago

A circular picture is 8 inches in diameter.

velikii [3]

The formula of an area of a circle with radius r:

$A=\pi r^2$

Part A.

We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.

Therefore:

$r=\dfrac{d}{2}\to r=\dfrac{8}{2}=4\ in$

Calculate the area:

$A=\pi\cdot4^2=16\pi\ in^2$

Answer: C. 16π square inches.

Part 2.

Look at the picture.

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2 years ago