Answer:
8(x+5)
Step-by-step explanation:
8x65 65 miles per hour for 8 hours. Rewrite expression using distributive prop
Answer:
See below
Step-by-step explanation:
Given that:
![\displaystyle{DC^2 = 2a^2(1+\cos 2\theta)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7BDC%5E2%20%3D%202a%5E2%281%2B%5Ccos%202%5Ctheta%29%7D)
Where
and
. Substitute these values in the expression:
![\displaystyle{\left(\sqrt{12}\right)^2 = 2\cdot 2^2(1+\cos 2\theta)}\\\\\displaystyle{12= 2\cdot 4(1+\cos 2\theta)}\\\\\displaystyle{12= 8(1+\cos 2\theta)}\\\\\displaystyle{\dfrac{12}{8}= 1+\cos 2\theta}\\\\\displaystyle{\dfrac{3}{2}=1+\cos 2\theta}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cleft%28%5Csqrt%7B12%7D%5Cright%29%5E2%20%3D%202%5Ccdot%202%5E2%281%2B%5Ccos%202%5Ctheta%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B12%3D%202%5Ccdot%204%281%2B%5Ccos%202%5Ctheta%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B12%3D%208%281%2B%5Ccos%202%5Ctheta%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B12%7D%7B8%7D%3D%201%2B%5Ccos%202%5Ctheta%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D1%2B%5Ccos%202%5Ctheta%7D)
Substitute ![\displaystyle{\theta = 30^{\circ}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Ctheta%20%3D%2030%5E%7B%5Ccirc%7D%7D)
![\displaystyle{\dfrac{3}{2}= 1+\cos (2 \cdot 30^{\circ})}\\\\\displaystyle{\dfrac{3}{2}= 1+\cos 60^{\circ}}\\\\\displaystyle{\dfrac{3}{2}= 1+\dfrac{1}{2}}\\\\\displaystyle{\dfrac{3}{2}= \dfrac{2}{2}+\dfrac{1}{2}}\\\\\displaystyle{\dfrac{3}{2}= \dfrac{3}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%201%2B%5Ccos%20%282%20%5Ccdot%2030%5E%7B%5Ccirc%7D%29%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%201%2B%5Ccos%2060%5E%7B%5Ccirc%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%201%2B%5Cdfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%20%5Cdfrac%7B2%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C%5Cdisplaystyle%7B%5Cdfrac%7B3%7D%7B2%7D%3D%20%5Cdfrac%7B3%7D%7B2%7D%7D)
Therefore, since both sides are the same after substituting theta = 30 degrees.
Hence, proved.
Answer:
Co-efficient
Step-by-step explanation:
Hope u understand?
Answer:
Area =πr2
Step-by-step explanation:
Hope this Helps