$Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta$

4 0

3 years ago

The population of a town increased by 10% per year in 2009, 2010, and 2011. If the population of the town at the beginning of 20

Bogdan [553]

If the population was 40,000 at the beginning of 2009, at the end of 2009 it has increased by 10% and became 44,000.

By the same way, at the end of 2010, it became $44000 + \frac{44000*10}{100} = 48400$

At the end of 2011, the population was $48400 + \frac{48400 * 10}{100} = 53240$

4 0

3 years ago

A woman is 6 years older than 3 times her daughters age. their ages total 46. what are their ages?

Darina [25.2K]

(46/3)-6=9

Her daughter is 9 years old and her mother is 37.

4 0

3 years ago