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Semmy [17]
3 years ago
9

A circle with circumference 6 has an arc with a 20 central angle, What is the length of the arc?

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer:

0.3 units

Step-by-step explanation:

The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

\frac{l}{6}=\frac{20}{360}

This implies that:

l=\frac{20}{360}*6

This simplifies to: l=\frac{20}{60}

l=\frac{1}{3}=0.3 units

DENIUS [597]3 years ago
6 0

Answer:

S=1/3

Step-by-step explanation:

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If 4 gallons of milk costs $16.76, how much would 7 gallons of milk cost?
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Shreya and beth each improved their yards by planting rose bushes and ornamental grass. They brought their supplies from the sam
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Answer:

  • <u><em>The cost of one rose bush is $ 9 and the cost on one bunch pf ornamental grass is $ 8.</em></u>

Explanation:

Name the variables and build a system of two equations with two unknowns.

<u>1. Variable r</u>: cost of one rose bush

<u>2. Variable g</u>: cost of one bunch of ornamental grass.

<u>3. First equation</u>:

  • Shreya spent $68 on 4 rose bushes and 4 bunches of ornamental grass.

        4r + 4g = 68

<u>4. Second equation</u>:

  • Beth spent $115 on 11 rose bushes and 2 bunches of ornaments grass.

  • 11r + 2g = 115

<u>5. System of equations</u>:

  • 4r + 4 g = 68     equation 1
  • 11r + 2g = 115     equation 2

<u>6. Solve the system</u>

a) Divide the equation 1 by 2:

  • 2r + 2g  =  34     equation 1a
  • 11r + 2g = 115     equation 2

b) Subtract equation 1a from equation 2:

  • 11r - 2r = 115 - 34
  • 9r = 81
  • r = 81 / 9
  • r = 9

c) Substitute the value of r into the equation 1a:

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  • 9 + g = 17
  • g = 17 - 9
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<u>7. Conclusion</u>:

The cost of one rose bush is $ 9 and the cost on one bunch pf ornamental grass is $ 8.

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