If it is a Reflection you use-
X-axis: (x,-y)
y-axis: (-x, y)
y=x: (y, x)
y=-x: (-y, -x)
Rotations:
90 degree clockwise/ 270 degree counterclockwise is (y, -x)
180 degree is (-x, -y)
270 degree clockwise/ 90 degree counterclockwise is (-y, x)
Dilations are when it is multiplied by a number. So lets say your operation is dilated by 2. It will be (2x, 2y).
Last but not least is Translations. This is when it is added or subtracted to your operation. This means it goes up or down and left or right on your graph. Left and right are X, up and down are Y. Lets say we want to go up 2 and left 3. It will be (x-3, y+2).
Answer:
![A_{sector} = \dfrac{100\pi}{3}](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20%5Cdfrac%7B100%5Cpi%7D%7B3%7D%20)
![A_{sector} = 104.7 ~square~units](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20104.7%20~square~units%20)
Step-by-step explanation:
The area of a full circle is
![A = \pi r^2](https://tex.z-dn.net/?f=%20A%20%3D%20%5Cpi%20r%5E2%20)
A full circle has a central angle of 360 degrees.
The area of a sector is a fraction of the area of a full circle and is proportional to the central angle of the sector.
For a sector:
![A_{sector} = \dfrac{n}{360^\circ}\pi r^2](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20%5Cdfrac%7Bn%7D%7B360%5E%5Ccirc%7D%5Cpi%20r%5E2%20)
where n = central angle of sector.
Here you have a radius of 10 and a central angle of 120 deg.
![A_{sector} = \dfrac{120^\circ}{360^\circ}\pi(10^2)](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20%5Cdfrac%7B120%5E%5Ccirc%7D%7B360%5E%5Ccirc%7D%5Cpi%2810%5E2%29%20)
![A_{sector} = \dfrac{1}{3}\pi(10^2)](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%2810%5E2%29%20)
![A_{sector} = \dfrac{100\pi}{3} ~square~units](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20%5Cdfrac%7B100%5Cpi%7D%7B3%7D%20~square~units%20)
![A_{sector} = 104.7 ~square~units](https://tex.z-dn.net/?f=%20A_%7Bsector%7D%20%3D%20104.7%20~square~units%20)
Answer:
gcf of 150 is 150
Step-by-step explanation:
if thats wrong then its 75
Answer:
15.45
Step-by-step explanation:
103x0.15=15.45