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algol13
3 years ago
12

A sector with an area of 30(pi) cm^2 has a radius of 10 cm.

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:

  108°

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . where θ is in radians

Solving for θ, we find ...

  θ = 2A/r²

For your given sector, the central angle is ...

  θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians

π radians is 180°, so the central angle in degrees is ...

  θ = (0.6)(180°) = 108°

The central angle measure of the sector is 108°.

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was to . If there were 12,7
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Answer: The question is incomplete

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However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.

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<em>Based on my example that the ratio of yes votes to no votes is 8 to 5, </em>

Then the number of yes votes was 7,864.

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