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astraxan [27]
3 years ago
15

Solve each inequality. Graph the solution

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0
The first one is a>11, second one is y≤-14, and the third one is n>8
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The circle with center O has a minor arc BSA with a length of
tangare [24]

Answer:

D. \frac{27\pi}{2} inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of 3\pi^{2} inches. The central angle is 40°.

To find the circumference of circle we will use formula:

\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}, where 2\pi= measure of 360 degrees in radians and 2\pi r= circumference of circle.  

Let us convert measure of central angle into radians.                        

40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}

Upon substituting our given value in the formula we will get,        

\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}

\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}    

\frac{1}{9}=\frac{3}{4r}      

Cross multiplying we will get,      

4r=27  

r=\frac{27}{4}

Hence, the radius of our circle is 27/4 inches.  

Since the circumference of circle is 2\pi r. Upon substituting  r=\frac{27}{4} we will get,

2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}

Therefore, circumference of our given circle will be \frac{27\pi}{2} inches and option D is the correct choice.

6 0
3 years ago
Can someone help I’m in a bit of a pickle here
bagirrra123 [75]
Morgan earns more money per hour on saturday bc 63/6 = 10.5 and that’s more than 9.5 so
6 0
2 years ago
Read 2 more answers
Find the measure of the missing angle. *<br> 156°<br> ?<br> 20°<br> 35°
Helga [31]
149

How to:
A four sided shape equals to 360 degrees
8 0
3 years ago
HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. W
Margaret [11]

Answer:

H = 3x^2y

Step-by-step explanation:

Given

V = 36x&^6y^8

L = 4x^3y^5

W = 3xy^2

Required

Find the height of the prism

Volume (V) is calculated as:

V =LWH

Substitute values for V, L and W

36x^6y^8 =4x^3y^5 * 3xy^2 * H

Make H the subject

H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}

H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}

H = \frac{36x^6y^8}{12x^4*y^7}

Divide:

H = 3x^{6-4}y^{8-7}

H = 3x^2y

The height of the prism is: 3x^2y

4 0
3 years ago
Write and simplify the expression for the area of a rectangle with a width of 3 inches and a length that is 8 inches more than x
meriva
3(x+8)
You know that area of a rectangle is length x width. The width you know is 3 and the length is whatever x is plus 8 more inches, therefore it is x+8.
4 0
3 years ago
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