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nataly862011 [7]
3 years ago
11

In a circle of radius 4 miles, the length of the arc that subtends a central angle of 2 radians is

Mathematics
1 answer:
GaryK [48]3 years ago
7 0
We are tasked to solve for the length of the arc of a circle given a radius of around 4 miles and a central angle that subtends the arc 2 radians. In order to solve for this, we need to use the length of the arc formula given,

s=rΘ

Where r is the radius and Θ is the subtended central angle given in radians
Simply substituting the given in the formula, we get,
s=4mi(2 rad)= 8 miles

Thus, the answer to the question above is 8 miles.
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Find the quotient of <br><br> -85^2-27n+76 / -17n-19
bagirrra123 [75]
<u><em>Answer:</em></u>
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<u><em>Explanation:</em></u>
<u>The given expression is:</u>
\frac{-85n^2-27n+76}{-17n-19}

<u>1- Take the negative as a common factor from both the numerator and the denominator. This will give us:</u>
\frac{-(85n^2+27n-76)}{-(17n+19)}

<u>2- Cancel out the negative sign (common factor) from the numerator and denominator. This will give us:</u>
\frac{(85n^2+27n-76)}{(17n+19)}

<u>3- Factor the numerator. This wil give:</u>
\frac{(5n-4)(17n+19)}{(17n+19)}

<u>4- Finally, cancel out the (17n+19) which common in both numerator and denominator. This will give us the final expression:</u>
5n-4

Hope this helps :)
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