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2 years ago

3x + 14 = 20 - 2x. What is x and how to solve it?

Mathematics

1 answer:

wlad13 [49]2 years ago

3 0

3x + 14 = 20 - 2x

add 2x to each side

5x +14 = 20

subtract 14 from each side

5x = 6

x = 6/5 = 1 1/5

Answer: 1 1/5

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Answer:

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Step-by-step explanation:

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2 years ago

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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

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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

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

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