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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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Evaluate 1+ (-2/3)- (-m) where m=9/12
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Answer:

13/12

Step-by-step explanation:

1-2/3+9/12

least common denominator is 12

12/12 - 8/12+9/12

13/12

6 0
3 years ago
Which of the following would indicate the possible presence of multicollinearity in a regression analysis? a. A significant p-va
Iteru [2.4K]

Answer:

The answer is B - A high correlation between two or more independent variables.

Step-by-step explanation:

There are many factors that shows the possible presence of multicollinearity in a regression analysis. Multicollinearity occurs when independent variables in a regresssion model are correlated; the independent variables as their names implies is to be fully independent (on their own).

Based on the options; multicollinearity occurs when there is a high correlation between two or more independent variables.

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3 years ago
Instructions: Select the correct answer from each drop-down menu. ∆ABC rotates around point D to create ∆A′B′C′. Based on t
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7 0
4 years ago
Read 2 more answers
Is there enough information to prove that the triangles are congruent?
olasank [31]

Answer:

Yes, there is enough information to prove that the triangles are congruent.

SAS POSTULATE

Step-by-step explanation:

In\:\triangle ABC \: and \triangle XYZ\\

AB\cong XY..... (given) \\

\angle ABC \cong\angle XYZ\\(each \: 90\degree) \\

BC\cong YZ..... (given) \\

\therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate)

7 0
3 years ago
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Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

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r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
3 years ago
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