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Luba_88 [7]
3 years ago
9

The arc corresponding to a central angle of 125 degrees in a circle of radius 10 feet measures _____ feet. Round your answer to

two decimal places.
Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
\frac{Angle}{360} x 2 \pi r

\frac{125}{360} x 2 \pi (10) = 21.82

Answer: The Arc measures 21.82 feet
RoseWind [281]3 years ago
4 0

Answer:

21.82\ ft

Step-by-step explanation:

we know that

The circumference of a complete circle is equal to

C=2\pi r

In this problem we have

r=10\ ft

substitute

C=2\pi (10)=20 \pi\ ft

Remember that

An angle of 360\° subtends the arc length of a complete circle

so

by proportion

Find the arc length for an angle of 125\°

\frac{20 \pi}{360}\frac{feet}{degrees}=\frac{x}{125}\frac{feet}{degrees}\\ \\x=125*(20\pi )/360\\ \\x=21.82\ ft

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KATRIN_1 [288]

9514 1404 393

Answer:

  18

Step-by-step explanation:

Solve the first for a, then substitute into the second.

  a = 27/(5b^2)

Then ...

  (27/(5b^2))^2·b = 135

  27^2/(5^2·135) = b^3 = 27/125

  b = ∛(27/125) = 3/5

  a = 27/(5(3/5)^2) = 15

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The expression of interest is ...

  a +5b = 15 + 5(3/5) = 15 +3

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3 years ago
Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?
Galina-37 [17]
<span>Let be A= 6x6 − x3y4 − 5xy5 and B= 4x5y + 2x3y4 + 5xy5 and when we do their difference, it is A - B = 6x6 − x3y4 − 5xy5 -( 4x5y + 2x3y4 + 5xy5)=6x6 − x3y4 − 5xy5 - 4x5y - 2x3y4 - 5xy5 = 6x6 - x3y4 - 2x3y4 - 5xy5 -4xy5 -5xy5=6x6 - 3x3y4 -14xy5, so the final solution is A - B =6x6 - 3x3y4 -14xy5, the degree of this is equal to the degree of - 3x3y4, and it is 3+4=7, the answer is The difference has 3 terms and a degree of 7.</span>
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viktelen [127]

For this case we must find an expression equivalent to:

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So:

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By definition of logarithm properties we have to:

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The answer is D. Sorry for taking so long

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