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Elenna [48]
3 years ago
15

What is the arc measure of \stackrel{\LARGE{\frown}}{AC}

Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

72°

Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = \frac{\theta}{360}*2\pi r

Where θ is the central angle in degrees.

Since the length of arc ABC is 16π,

16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

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Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using
galben [10]

Answer: 1.8 s

Step-by-step explanation:

Given

The height of the spring mass system above the table is given by

h(t)=6.85\cos (3.42t)+9

The mass is performing S.H.M with frequency \omega =3.42

and \omega T=2\pi

\therefore T=\dfrac{2\pi }{\omega}

time when mass returns to its original position

T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s

5 0
2 years ago
What smallest prime factor of 12?
gregori [183]
2 is the smallest prime factor of 12. 12 can evenly be divided by 2 so that makes 2 the smallest prime factor of 12.
7 0
2 years ago
Read 2 more answers
Whats between 0 and <img src="https://tex.z-dn.net/?f=%20%5Cpi%20%2F2" id="TexFormula1" title=" \pi /2" alt=" \pi /2" align="abs
Nataly_w [17]
Pi divided by 2 is <span>1.57079632679 so anything bigger than 0 and less than that number should be between.</span>
7 0
3 years ago
3. How many solutions does the system of equations have?
miskamm [114]

Answer:

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Step-by-step explanation:


5 0
2 years ago
camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? show all wo
gtnhenbr [62]

              Camel back Mountain = 15,168 inches (1,264 feet)

  • 1 Penny = 0.061 (.0610) Inches
  • 10 Penny = 0.61 (.610) Inches
  • 100 Penny = 6.1 (6.10) Inches
  • 1,000 Penny = 61 (61.0) Inches
  • 10,000 Penny = 610 (610.0) Inches

                                                   <u>-SOLVING-</u>

10,000 Penny = 610 inches PLUS

1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)

100 Penny = 6.1 inches PLUS

10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)

1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)

                                            -<u>FINAL ANSWER-</u>

610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.

3 0
2 years ago
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