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lions [1.4K]
3 years ago
12

How long is the arc intersected by a central angle of pi/3 in a circle with a radius of 6 ft? Round your answer to the nearest t

enth. Pls help
a. 1.0 ft
b. 5.7 ft
c. 6.3 ft
d. 7.0 ft
Mathematics
2 answers:
Sidana [21]3 years ago
8 0
I think c or d is one of the answers
lana [24]3 years ago
6 0

Answer: c. 6.3 ft

Explanation:

Since, the length or an arc = r\times \theta , where r is the radius of the circle, and \theta is the central angle made by the arc.

Here, radius of the circle = 6 ft.  

And,\theta= \frac{\pi}{3}

Thus, the length of the arc= 6\times \frac{\pi}{3} = 6\times\frac{22}{21} = 6.28571429 ≈6.3 ft

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How you would solve it is by 8 multiplied by 4.
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3 years ago
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A human hair was measured to be 8.0×10−48.0×10-4 inch thick. A cat hair was measured to be 4.0×10−14.0×10-1 inch thick. How much
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3 years ago
The temperature has been dropping 2 1/2 degrees every hour and the current temperature is -15°f. How many hours ago was it 0°f?
beks73 [17]

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5 0
2 years ago
Solve by substitution. Show each step of your work.<br><br> 2x + y = 7<br><br> 3x + 5y = 14
Monica [59]
Alright...simple...showing all steps.. ;)

You have the equations...

2x+y=7
and
3x+5y=14

To be able to even solve for any of the variables...multiply the equations by...2...and..3...

2x+y=7----*3--> 6x+3y=21
and
3x+5y=14-----*2--->6x+10y=28

Thus,

6x+3y=21
-
6x+10y=28

=========

-7y=-7

y=1

Now, plug y back into any of the original equations....we'll use 2x+y=7 in this case....

2x+(1)=7

2x+1=7
      -1  -1

2x=6

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8 0
3 years ago
20 POINTS PLEASE HELP ASP D:
Butoxors [25]

Hi there!

When two lines intersect, we know that the ones on the opposite sides are equal to one another. Thus, we know that the angle opposite of the one marked with 90 degrees (on the other side of the intersection) is also 90 degrees.

We know that a full turn is 360 degrees. We can see that the two 90 degrees make up part of the turn, and the other pair of angles, both of which are equal to x (as per the reasoning above), make up the rest. We know that the two 90 degrees, added together, is equal to 180 degrees. This means, after subtracting 180 from 360, that 180 degrees are remaining that aren't the 2 90 degrees, and are make up of two angles both measuring x degrees.

As we know that they both measure x, then we know that we say 2x = 180, which gives us x = 90.

Hope this helps!

6 0
3 years ago
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