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3 years ago

Simplify the expressions if it is possible. if the expression is already simplified write the word simplified.

1 answer:

4 0

1. -5x+3x = 6
-2x /-2=6/-2
x = -3

3.9p+18 -4p+13
=5p =-31
p = -31/5
= -6.2
5.45n+16m-12+5n -2m
50n + 14 m = 12
2(25n+7m) /2 = 12/2
25n+ 7m = 6

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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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2 years ago

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Minchanka [31]

Answer:

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Step-by-step explanation:

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