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3 years ago

Where is -2 1/2 at on a number line

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

8 0

Answer:

-2.5

Step-by-step explanation:

-2 1/2 converted to a decimal is -2.5. So, it would be between 3 and 2 in the negatives.

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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

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

6 0

4 years ago

What is the value of the function at x=−3? A) y = 0 B) y=−3 C) y = 4 D) y = 3

Alexus [3.1K]

Answer:

y=4

Step-by-step explanation:

From the graph we can see that-

when, x=-3 , y=4

That is , the graph passes through (-3 , 4)

So,

for x=-3 ,

we get y=4

So, the answer is y=4

5 0

3 years ago

12) Erica has three more dimes than nickels in her pocket, for a total of $1.50. If x represents the number of

serious [3.7K]

Answer:

Step-by-step explanation:

lol

8 0

3 years ago

Read 2 more answers

Please help will give branlist

nata0808 [166]

Answer:

The file will help

Step-by-step explanation:

7 0

3 years ago

A positive number is 1/4 of another positive number. If the difference is 60 find two positive numbers. I need help Pewase

Varvara68 [4.7K]

Answer:

60 1/4

Step-by-step explanation:

x-1/4=60

x=60+1/4

x=60 1/4

3 0

3 years ago