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3 years ago

The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor?

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

1) both have positives signs OR

2) both have negatives signs

Pavel [41]3 years ago

5 0

Answer:

Knowing that the quotient of two rational numbers is positive, leads me to the conclusion that both the dividend and the divisor were the same. When I say the same, I mean they were either both positive or both negative.

I hope this helps

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- Madison Croskey

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Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

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s ---> the arc length of sector

Find the radius r

we know that

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solve for r

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step 2

Find the value of s

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substitute the value of r

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step 3

we know that

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The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

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$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

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