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)
Answer:
i think the answer is fraction 30 over 6
let me know if i was right
Yes you do! In fact not just I. You move al l three down right after or before you move the units to the right.
Answer:
164 m^2
Step-by-step explanation:
You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.
The large colored rectangle is 12 m by 15 m.
The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m
A = 12 m * 15 m - 2 m * 8 m
A = 180 m^2 - 16 m^2
A = 164 m^2