Answer:
3795
Step-by-step explanation:
Answer:
11. A) 6x = 13
Step-by-step explanation:
11. Subtract 10 from both sides to make it equal 6x=13
12. For #12... None of the answers seem right? If you distribute and subtract, it should be
-4x + 44 = 66 then
-4x = 22...
Sorry if this didn’t help much, I know that 11 is right though ;)
Recall the double angle identity:
![\sin2\theta=2\sin\theta\cos\theta](https://tex.z-dn.net/?f=%5Csin2%5Ctheta%3D2%5Csin%5Ctheta%5Ccos%5Ctheta)
With
measuring between 0º and 90º, we know
. So from the Pythagorean identity, we get
![\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5](https://tex.z-dn.net/?f=%5Csin%5E2%5Ctheta%2B%5Ccos%5E2%5Ctheta%3D1%5Cimplies%5Ccos%5Ctheta%3D%5Csqrt%7B1-%5Csin%5E2%5Ctheta%7D%3D%5Cdfrac%7B%5Csqrt%7B21%7D%7D5)
Then
![\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}](https://tex.z-dn.net/?f=%5Csin2%5Ctheta%3D2%5Cdfrac25%5Cdfrac%7B%5Csqrt%7B21%7D%7D5%3D%5Cdfrac%7B4%5Csqrt%7B21%7D%7D%7B25%7D)
Answer:
total bill=1644
let he drives x kilometer
then
500*2+8*x=1644
1000+8x=1644
8x= 1644-1000
8x= 644
x= 644/8=80.5 km
Step-by-step explanation: