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Bumek [7]
3 years ago
6

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc  is calculated using the formula:

\frac{theta}{360} X 2\pir

where : theta is the angle in degree

r = radius

If the angle is given in Radian , the length can be calculated using the formula:

L = r∅

Since , the angle is given in degree , we will use the first formula.

L = \frac{theta}{360} X 2\pir

L = \frac{120}{360} X 2 X π X 15

L = \frac{1}{3} X 2 X \frac{22}{7} X 15

L = \frac{660}{21}

L = 31.42857143

L ≈ 31.43 cm

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Aleonysh [2.5K]
<h2>Key Concepts</h2>
  • Linear equations
  • Slope-intercept form

Slope-intercept form looks like this: y=mx+b

  • <em>m</em> = slope
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<h2>Solving the Question</h2>

We're given:

  • <em>m</em> = 0
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Plug the given values into y=mx+b:

y=0x-5\\y=-5

<h2>Answer</h2>

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2 years ago
Find the surface area of the prism. A rectangular prism has length 12 meters, width 6 meters, and height 17 meters. 12 m 6 m 17
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378

Step-by-step explanation:

length- 12

width - 6

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3 years ago
How many solutions does the following equation have? 12z- 6 + 15z = 27z- 5
spin [16.1K]
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5 0
4 years ago
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Find the zeros of the following polynomial p(x) = 3x³ + 9x² - 12x​
alexira [117]

Answer:

x = - 4, x = 0, x = 1

Step-by-step explanation:

To find the zeros equate p(x) to zero, that is

3x³ + 9x² - 12x = 0 ← divide through by 3

x³ + 3x² - 4x = 0 ← factor out x from each term

x(x² + 3x - 4) = 0

x(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

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8 0
3 years ago
Help ASAP quick answer please!!!
Volgvan
The answer is the second option, -0.5
8 0
4 years ago
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