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allsm [11]
3 years ago
15

The diagram below shows circle 0 with radii OA and OB. The length of a radius is 6

Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

124°

Step-by-step explanation:

We are to solve for the central angle.

In the question,

We are given

The length of the radius or radius = 6 inches

The length of the arc or the arc length (AB) = 13 inches

The formula for the Arc length of a circle = 2πr × (central angle in degree ÷ 360)

From the above formula, we can derive our formula for the measure of the central angle.

The formula for the measure of the central angle AOB =( Arc length × 360 ) ÷ 2πr

Angle AOB = (13 inches × 360) ÷ 2 × π × 6 inches

Angle AOB = 4680 ÷ 37.699111843

Angle AOB = 124.14083392°

Approximately Angle AOB to the nearest degree = 124°

Therefore, the measure of angle AOB to the nearest degree = 124°

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lapo4ka [179]

Answer:

A

Step-by-step explanation:

Corresponding angles are angles that you can follow down the transversal and they will land in the same spot on the other parallel line.  Look at angle 8.  It is the bottom left angle in the group of 4 angles around it.  If you slide it to the left it would land right on top of angle 4 which is also in the bottom left of its group of 4 angles.

You can do the same thing taking angle 8 down to angle 12.

4 0
2 years ago
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I don't know how to do this​
Gre4nikov [31]

Answer:

x = -11/5 and y = 24/5

Step-by-step explanation:

Use elimination.

First, we need to multiply so that at least one variable can cancel out.

We can multiply the top equation by 2.

So we get

4x + 6y = 20

Then, we can use elimination.

The x's cancel out.

So we get 5y = 24

Or y = 24/5

Then, we can plug in this y value back into the first equation to find x.

2x + 3(24/5) = 10

2x + 72/5 = 50/5

2x = -22/5

x = -11/5

So x = -11/5 and y = 24/5

5 0
3 years ago
If mikes salary is $62,500 this year and next year he will get 5.5% increase in salary. How much is his new salary.
rusak2 [61]

Answer:

65,937.5

Step-by-step explanation:

4 0
3 years ago
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Correct answers only please!
Novay_Z [31]

Answer:

D.) 7

Step-by-step explanation:

To calculate the check digit, multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit (this is called the digital root):

Odd numbers:  (1.)= 8 (3.)= 4 (5.)= 6 (7.)= 0 (9.)= 4 (11.)= 6 (13.)= 2 (15.)=(1 + 6)= 7

Even numbers: (2.)= 3 (4.)= 8 (6.)= 1 (8.)= 3 (10.)= 6 (12.)=5 (14.)=0

To this total, we then add every odd-position digit:

Odd = 37

Even = 26

This will result in a total:

37 + 26 = 63

The check-digit is what number needs to be added to this total to make the next multiple of 10:

Next multiple of 10 is 70.

70 - 63 = 7

Answer:

7

Hope this helps : D

3 0
3 years ago
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From the table below, determine whether the data shows an exponential function. Explain why or why not.
Ierofanga [76]
X        Δx                                   y             Δy

3                                               1          

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-1        -1 - 1 = -2                      3              3 - 2 = 1

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So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. => Δy / Δx = constant.

That is the result of a linear function, not an exponential one.

So, the true statement is given by the option <span>(A) No; the domain values are at regular intervals and the range values have a common sum 1. </span>
8 0
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