Answer:
On the circle
Step-by-step explanation:
The distance between D and G is:
![\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1-%28-10%29%29%5E2%2B%283-1%29%5E2%7D%3D%5Csqrt%7B9%5E2%2B2%5E2%7D%3D%5Csqrt%7B81%2B5%7D%3D%5Csqrt%7B86%7D)
If point J is not exactly this far, then it is not on the circle.
![\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-1-%28-3%29%29%5E2%2B%2812-3%29%5E2%7D%3D%5Csqrt%7B2%5E2%2B9%5E2%7D%3D%5Csqrt%7B5%2B81%7D%3D%5Csqrt%7B86%7D)
Therefore, it is on the circle. Hope this helps!
1.
![18-4,25=13,75 \\ 13,75-9,75=4 \\ 0,50x \leq 4](https://tex.z-dn.net/?f=18-4%2C25%3D13%2C75%20%5C%5C%2013%2C75-9%2C75%3D4%20%5C%5C%200%2C50x%20%5Cleq%204)
<u />⇔
![x= \frac{4}{0,50}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B4%7D%7B0%2C50%7D%20)
⇔
![x= 8](https://tex.z-dn.net/?f=x%3D%208)
R: She can buy
8 crackers
2. Amy used 13%
Dan used 0,14*100 = 14%
Mike used 0,5*100 = 50%
R: Mike used the greatest amount of milk.
Answer: 4) The center is located at (1, 3), and the radius is 6
Step-by-step explanation:
Solve the general equation of the circle.
x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2
Hence, the coordinates of the center (1,3) And the radius will be 6
To find the area of a sector of a circle use the next formula:
![A=\frac{\theta}{360º}*\pi *r^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Ctheta%7D%7B360%C2%BA%7D%2A%5Cpi%20%2Ar%5E2)
As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:
![\theta=360º-90º=270º](https://tex.z-dn.net/?f=%5Ctheta%3D360%C2%BA-90%C2%BA%3D270%C2%BA)
Find the area of the sector with angle 270º:
![\begin{gathered} A=\frac{270º}{360º}*3.14*(11in)\placeholder{⬚}^2 \\ \\ A=0.75*3.14*121in^2 \\ \\ A=284.955in^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B270%C2%BA%7D%7B360%C2%BA%7D%2A3.14%2A%2811in%29%5Cplaceholder%7B%E2%AC%9A%7D%5E2%20%5C%5C%20%20%5C%5C%20A%3D0.75%2A3.14%2A121in%5E2%20%5C%5C%20%20%5C%5C%20A%3D284.955in%5E2%20%5Cend%7Bgathered%7D)
Then, the approximate area of the given sector of a circle is 284.955 square inches
Answer:
19.5º
Step-by-step explanation:
Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.
33.5 + 127= 160.5
180- 160.5 = 19.5
So, the angle F is 19.5º
Hope this helps !!
-Ketifa