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Kipish [7]
2 years ago
6

Can someone answer my question please

Mathematics
2 answers:
Charra [1.4K]2 years ago
8 0

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

\frac{\theta }{360}\cdot 2\pi \left(11\right)=16

\frac{\theta }{360}=\frac{16}{22\pi }

\theta \:=\frac{16}{22\pi \:}\cdot 360

{\theta}=83.34

lana66690 [7]2 years ago
4 0

Answer:

≈ 1.5 radians

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

Here arc = 16 , then

2πr × \frac{0}{2\pi } = 16 ← cancel the 2π on numerator/denominator

11 ×θ = 16 ( divide both sides by 11 )

θ ≈ 1.5 radians ( to the nearest tenth )

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Y_Kistochka [10]

<em>Answer:</em>

<em>2</em>

<em>Step-by-step explanation:</em>

<em>The factors of 72: 1, </em><em>2</em><em>, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72</em>

<em>The factors of 98: 1, </em><em>2</em><em>, 7, 14, 49, 98 </em>

<em>Your greatest common factor is 2.</em>

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22. One kilometer is approximately 0.62 mile. What fraction represents this length?
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<u><em>Answer:</em></u>

One kilometer is \frac{31}{50} miles

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<u>To convert a decimal to a fraction:</u>

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

<u>Now, for the given problem:</u>

<u>The given decimal is 0.62, following the above steps:</u>

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0.62 = \frac{0.62}{1}

<u>Step 2:</u>

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}

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\text{Each exterior angle}=\frac{360^{\circ}}{n}

Upon substituting n=12 in above formula, we will get:

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\text{Each exterior angle of a regular dodecagon}=30^{\circ}

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

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