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ZanzabumX [31]
2 years ago
7

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

The measure of the Central Angle indicated is; 45°

<h3>How to find the central angle of a circle?</h3>

The central angle will be the angle subtended at the center by arc FE and arc CB.

Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;

Central Angle = 180° - 135° = 45°

Angle subtended by Arc CD at the center is;

θ = 180 - (81 + 45)

θ = 54°

Read more about Central Angle at; brainly.com/question/17074363

#SPJ1

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The formula for the volume of this rectangular prism is:
juin [17]

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

   

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

   

   

   

   

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

   

7

l

0

−

8

=

20

;

   

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

8 0
2 years ago
Landon is building new bookshelves for his bookstores new mystery section. Each shelf can hold 34 books. There are 1,265 mystery
nignag [31]
1,265 divided by 34 is 37.20
You can't put a fraction of a book on a shelf so each shelf will have ABOUT 37 books

Make sure you include ABOUT in your answer
4 0
2 years ago
If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses? $480.29 $629.75 $779.21 $92
Black_prince [1.1K]
I just had the question and the answer is $629.75
8 0
3 years ago
Read 2 more answers
Round 9.24 to nearest hundrer
Elanso [62]

Answer:

9.24

Step-by-step explanation:

Integer Part: 9

Fractional Part: 240

If the last digit in the fractional part of 9.240 is less than 5, then simply remove the last the digit of the fractional part.

So 9.24 rounded to the nearest hundredth is: 

9.24

4 0
3 years ago
At a charity fundraiser, each female attendant donated $1,200 and each male attendant donated $800. If the average donation at t
Flauer [41]

The ratio of the number of female attendants to the number of male attendants is 21/17

<h3>Ratio</h3>

  • Amount donated by female attendant = $1200
  • Amount donated by male attendant = $800
  • Average donation = $900

let

  • number of female attendant = x
  • number of male attendant = y

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

Learn more about ratio:

brainly.com/question/2784798

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3 0
2 years ago
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