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3 years ago

In 2003 Nebraska had a population of 1,739,291 while Kansas had a population of 2,723,507. What was their combined population?

Mathematics

1 answer:

patriot [66]3 years ago

6 0

Answer:

4,452,798

Step-by-step explanation:

Hope this helps

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What is the domain of the relation

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Answer:

its the second one

Step-by-step explanation:

1. starting point of the domain ( x-axis ) is 0

2.ending is at 3

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2 years ago

Present the inequality x > 23 ?

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Answer:

x > 23 I think

Step-by-step explanation:

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2 years ago

What is 9.187 to the nearest tenth? And hundredth and one

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3 years ago

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Round the following 8.388 to 2 decimal places

Roman55 [17]

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2 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

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

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

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

A ---> the area of sector with central angle theta

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

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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3 years ago