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andrew-mc [135]
3 years ago
13

The circumference of a circle is divided into twelve equal arcs. The measure of each arc is degrees.

Mathematics
2 answers:
nlexa [21]3 years ago
7 0
<h2>Answer:</h2>

The measure of each of the arc in degrees is:

                      30 degree

<h2>Step-by-step explanation:</h2>

We know that the circle is a whole of 360 degrees.

Now when we divide the circumference of a circle into 12 equal arcs, then the measure of each arc in degrees is calculated as the ratio of the 360 degrees to the number of arcs it has been divided.

Hence, the measure of each arc in degrees is:

          \dfrac{360}{12}=30

Hence, the measure in degrees is:

              30 degree

Aneli [31]3 years ago
4 0
For this case the first thing you should know is that a circumference measures the amount of 360 degrees.
 If we divide the circumference into 12 equal arcs, each arc will have the following measure:
 (360) / (12) = 30
 Answer:
 The measure of each arc is 30 degrees
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Nataly_w [17]

duh yes obiouslyyyyyyy

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3 years ago
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There are 9 performers who are to present their acts at a variety show. How many different ways are there to schedule their appe
nika2105 [10]
For this type of question it is easiest to think about it in terms of a simple multiplication. The way we can do this is by working out how many possibilities there are for each position on the program. This is as follows:
For the first act, there are 9 possible performers we can pick
For the second act, because we have already assigned a performer to the first act, there are only 8 possible performers
For the third act, because we have already assigned a performer to the first two acts, there are only 7 possible performers
This goes on and on until we reach the final act, where we have used all the performers except one.
Therefore we can say:
For the first act there are 9 possibilities
For the second act there are 8 possibilities
For the third act there are 7 possibilities
For the fourth act there are 6 possibilities and so on
If we want to write this mathematically we can just say that there are:
9 possibilities x 8 possibilites x 7 possibilities etc right down until we are at the final act where there is 1 possibility.
To write this out as an equation we just say:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = the number of different ways
In maths however, we have a much simpler way of saying this, which we call "factorial".
That whole stream of numbers up there can just be said to be "9 factorial", or if we are writing it in an equation "9!". You may find that your calculator has a button which has an "!" on it. If you put in the number of performers and then press the "!" button, it will give you the answer to your question.
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3 0
3 years ago
What is the answer to the question
S_A_V [24]

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is (m_1) = –2

To write the equation parallel to this line and passes through (–4, –3).

<em>If two lines are parallel, then they have the same slope.</em>

\Rightarrow m_1=m_2

\Rightarrow m_2 =-2

<u>Point-slope formula:</u>

y-y_1=m(x-x_1)

Substitute the given values in the formula, we get

y-(-3)=-2(x-(-4))

y+3=-2(x+4)

y+3=-2x-8

Subtract 3 from both sides of the equation.

y+3-3=-2x-8-3

y=-2x-11

Hence the equation of the parallel line is y = –2x – 11.

5 0
3 years ago
I don’t know how to do this
Rina8888 [55]
Slope is .5/5
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5 0
3 years ago
Check all the equations that are equivalent.
Fiesta28 [93]

Answer:

the answer is a, c and d

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c. n=a/180+2

d. n= a+360/180

Step-by-step explanation:

6 0
2 years ago
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