9. Definitely 11
10. I'm pretty sure it's -6
Answer:
Option B. ![6.75\ cm^{2}](https://tex.z-dn.net/?f=6.75%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of a circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
![r=3\ cm](https://tex.z-dn.net/?f=r%3D3%5C%20cm)
substitute
![A=\pi (3^{2})=9 \pi\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20%283%5E%7B2%7D%29%3D9%20%5Cpi%5C%20cm%5E%7B2%7D)
Remember that
radians subtends the complete circle of area ![9 \pi\ cm^{2}](https://tex.z-dn.net/?f=9%20%5Cpi%5C%20cm%5E%7B2%7D)
so
by proportion
Find the area of the related sector for a central angle of
radians
Let
x------> the area of the related sector
![\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%20%5Cpi%7D%7B2%5Cpi%7D%5Cfrac%7Bcm%5E%7B2%7D%7D%7Bradians%7D%20%3D%5Cfrac%7Bx%7D%7B1.5%7D%5Cfrac%7Bcm%5E%7B2%7D%7D%7Bradians%7D%5C%5C%20%5C%5Cx%3D9%2A1.5%2F2%5C%5C%20%5C%5Cx%3D%206.75%5C%20cm%5E%7B2%7D)
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Answer:
hope this helps
Step-by-step explanation:
3x+15=18 then -15 from each side so x=1