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kirill [66]
2 years ago
15

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Mathematics
1 answer:
erastovalidia [21]2 years ago
4 0

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

\frac{4}{20} = \frac{x}{360}

Cross multiply:

1440 = 20x\\

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

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Answer:

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Step-by-step explanation:

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Which expression is equivalent to<br> 125<br> ori-<br> of<br> one
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A box of jerseys for a pick-up game of basketball contains 9 extra-large jerseys, 6 large jerseys, and 5 medium jerseys. If you
aleksley [76]

Answer:

1/114 or 0.008772

Step-by-step explanation:

I am not very sure, my answer seems unlikely, but here's what I think:

There are 20 jerseys in the box to begin with, and 5 medium jerseys that you can have.

Therefore, the probability of you randomly grabbing a medium sized jersey is 5/20 or 1/4.

After taking out one medium sized jersey, there are 19 jerseys in the box and 4 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 4/19.

After taking out another medium sized jersey, there are 18 jerseys left in the box and 3 medium jerseys you can pick from.

The probability of you randomly grabbing a medium sized jersey is 3/18.

To get the answer, you do 1/4 * 4/19 * 3/18, and get 1/114, or 0.00877192982.

If you round that to the nearest millionth, it's 0.008772

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tankabanditka [31]

Answer & Step-by-step explanation:

7. The slope-intercept form of a linear equation is y = mx+b where m is the slope and b is the y-intercept. Looking at the two equations, we can rearrange them to be

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From this, we can see that the m, or slope, of the equations are -8 and 8 respectively. Thus, we can determine that the steepness of both equations are equal though one is pointed downwards and the other upwards.

8. We already know that m is the slope so if the function is increasing, the slope is going upwards, thus m must be larger than 0.

Next, we plug in (4,0) into the function to determine b.

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Since we have determined that m is larger than 0 and thus a positive number, m*4 will be a positive number. The only way for m(4) + b to equal to 0 then is for b to be a negative number, smaller than 0.

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2 years ago
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