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3 years ago

What is the value of angle x°?

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Answer:

x = 121

Step-by-step explanation:

To find x, you can add 154 and 88 and divide the total by 2.

154 + 88 = 242

242/2 = 121

x = 121

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Step-by-step explanation:

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3 years ago

One of your friends lives 225 km away. It took him 2.5 hours to travel to the cottage. At what speed did he travel?

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given:
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3 years ago

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2 years ago

The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar

mafiozo [28]

Answer:

$Ratio = \frac{R^2 - r^2 }{ r^2}$

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

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

For the inner circle

$r \to radius$

The sector of the inner circle has the following area

$A_1 = \frac{\theta}{360}\pi r^2$

For the whole circle

$R \to Radius$

The sector of the outer sector has the following area

$A_2 = \frac{\theta}{360}\pi (R^2 - r^2)$

So, the ratio of the outer sector to the inner sector is:

$Ratio = A_2 : A_1$

$Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2$

Cancel out common factor

$Ratio = R^2 - r^2 : r^2$

Express as fraction

$Ratio = \frac{R^2 - r^2 }{ r^2}$

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3 years ago