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Mathematics

1 answer:

Taya2010 [7]2 years ago

7 0

Answer:

29° is the correct answer hope it helps you please mark me as brainlist

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A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2pi/3

Aloiza [94]

You can solve this problem and calculate the arc lenght, by applying the following formula:

s=θr

s: it is the arc lenght.
θ: it is the central angle (θ=2π/3).
r: it is the radius of the circle (r=10 inches).

When you substitute these values into the formula, you obtain the arc lenght (s):

s=θr
s=(2π/3)(10)

Then, you have that the value of the arc lenght is:

s=20.94 inches

7 0

3 years ago

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Please help immediately very confused

AlexFokin [52]

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

3 0

3 years ago

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What is the arc measure of DBC in<br> degrees?

Arisa [49]

<h2>Answer:</h2><h2 />

In this context:

$\boxed{\angle DBC=x=60^{\circ}}$

<h2>Explanation:</h2>

Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is <em>the measure of its central angle </em>being a central angle an <em>angle between two radii in a circle</em>. Suppose that angle measures:

$\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}$