Answer:
The quotient is (x-2)
Step-by-step explanation:
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
![\Delta Sector=\dfrac{1}{2}r^2\theta](https://tex.z-dn.net/?f=%5CDelta%20Sector%3D%5Cdfrac%7B1%7D%7B2%7Dr%5E2%5Ctheta)
Whereas the area of a circle for a radius r is given as
![\Delta Circle=\pi r^2](https://tex.z-dn.net/?f=%5CDelta%20Circle%3D%5Cpi%20r%5E2)
Now the ratio is given as
![\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5CDelta%20Sector%7D%7B%5CDelta%20Circle%7D%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B2%7Dr%5E2%5Ctheta%7D%7B%5Cpi%20r%5E2%7D)
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
![\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5CDelta%20Sector%7D%7B%5CDelta%20Circle%7D%3D%5Cdfrac%7B%5Ctheta%7D%7B2%5Cpi%20%7D)
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
Arc length (L) = 83.7758 ft
Answer:
It would be 60 degrees
Step-by-step explanation:
You take the numbers and write the equation 34-(-26) to figure out the difference. You then change the signs, making it 34+26, as before you were subtracting a negative. If you complete that problem, you come to the conclusion of 60.