Answer:
![12\sin{(2\theta)}\cos{(\theta)}](https://tex.z-dn.net/?f=12%5Csin%7B%282%5Ctheta%29%7D%5Ccos%7B%28%5Ctheta%29%7D)
Step-by-step explanation:
The appropriate trig identity is ...
![\sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}](https://tex.z-dn.net/?f=%5Csin%7Ba%7D%2B%5Csin%7Bb%7D%3D2%5Csin%7B%5Cleft%28%5Cdfrac%7Ba%2Bb%7D%7B2%7D%5Cright%29%7D%5Ccos%7B%5Cleft%28%5Cdfrac%7Ba-b%7D%7B2%7D%5Cright%29%7D)
Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...
![6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}](https://tex.z-dn.net/?f=6%5Csin%7B3%5Ctheta%7D%2B6%5Csin%7B%5Ctheta%7D%3D12%5Csin%7B%5Cleft%28%5Cdfrac%7B3%5Ctheta%2B%5Ctheta%7D%7B2%7D%5Cright%29%7D%5Ccos%7B%5Cleft%28%5Cdfrac%7B3%5Ctheta-%5Ctheta%7D%7B2%7D%5Cright%29%7D%5C%5C%5C%5C%3D12%5Csin%7B%282%5Ctheta%29%7D%5Ccos%7B%28%5Ctheta%29%7D)
3.2-5.7=-2.5 so its have to be a negative because a smaller number subtract a bigger number have to be equal to a negative number.
Answer:
No solution
Step-by-step explanation:
3+6=9
3-4=-1
9 doesn't equal -1 therefore no solution.
<span>1) 20 cm by 20 cm by 6 cm
2) 40 cm by 30 cm by 2 cm</span>
It should be the first one, or 3x, I’m pretty sure because x is going to be the amount that he has and he has 3 times the amount or something