To find the answer we need to know how big the area he wants to fence is. there is simply not enough information here.
Answer:
Central angle of θ
![\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7B%5Cpi%20r%5E2%7D%20%3D%5Cdfrac%7B%5Ctheta%7D%7B2%5Cpi%7D)
![A=\dfrac{\theta r^2}{2}, (\theta$ in radians)](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Ctheta%20r%5E2%7D%7B2%7D%2C%20%28%5Ctheta%24%20in%20radians%29)
Step-by-step explanation:
Suppose a sector of a circle with radius r has a central angle of θ.
Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of the central angle of θ to the measure of a full rotation of the circle.
A full rotation of a circle is 2π radians.
This proportion can be written as: ![\dfrac{A}{\pi r^2} =\dfrac{\theta}{2\pi}](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7B%5Cpi%20r%5E2%7D%20%3D%5Cdfrac%7B%5Ctheta%7D%7B2%5Cpi%7D)
Multiply both sides by ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
![\dfrac{A}{\pi r^2} *\pi r^2=\dfrac{\theta}{2\pi}*\pi r^2](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7B%5Cpi%20r%5E2%7D%20%2A%5Cpi%20r%5E2%3D%5Cdfrac%7B%5Ctheta%7D%7B2%5Cpi%7D%2A%5Cpi%20r%5E2)
Simplify to get:
![A=\dfrac{\theta r^2}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Ctheta%20r%5E2%7D%7B2%7D)
Where θ is the measure of the central angle of the sector and r is the radius of the circle.
Answer:
slope = -2
y-intercept = (0,2)
y = -2x + 2
Step-by-step explanation:
In order to find the slope, we must use the formula y2-y1/x2 - x1. But in order to do so, we will have to find two perfect points.
perfect point #1: (-2,6)
perfect point #2: (2, -2)
Now, we simply input the corresponding points into our formula.
-2 - 6 = -8
2 - (-2) = 4
-8/4 = -2
So, the slope of the graph is -2
In order to find the y-intercept we must look at where the line intersects in the y axis. Looking back at our graph, we can determine that the line intersects at (0,2)
The slope-intercept form is y = mx + b, m represents the slope and b represents the y intercept. Therefore after inputting the slope and y-intercept we should get y = -2x + 2
318-47= 271 There are 271 non-fiction books in the library. just subtract 47 from 318 to get the answer.
2 1/7 x 4 3/8
15/7 x 3/2
45/14 or 3 3/14