Your ratio is 6:5
This means that it is 6/5.
You have to find a common number to either divide or multiply that can work for both the numerator and denominator.
6/5 doesn't have any common number to divide without getting a remainder
But we can multiply by a common number such as 2
6×2 = 12
5×2 = 10
= 12/10. ☆= the ratio is 12 : 10
or even by 3, =the ratio 18:15
Answer:
36 sq. cm
Step-by-step explanation:
triangle area= 0.5 * 12* 10
rectangle are= 8* 3
60 - 24 = 36
Step-by-step explanation:
![\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Csin%5E2%20%28%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%5Calpha%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
Use the identity
![\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}](https://tex.z-dn.net/?f=%20%5Csin%5E2%20%5Ctheta%20%3D%20%5Cdfrac%7B1%20-%20%5Ccos%202%5Ctheta%7D%7B2%7D%20)
on the left side.
![\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Ccos%20%5B2%28%5Cfrac%7B%5Cpi%7D%7B4%7D%20-%20%5Calpha%29%5D%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
![\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Ccos%20%28%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%202%5Calpha%29%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
Now use the identity
![\sin \theta = \cos(\frac{\pi}{2} - \theta)](https://tex.z-dn.net/?f=%20%5Csin%20%5Ctheta%20%3D%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B2%7D%20-%20%5Ctheta%29%20)
on the left side.
![\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%20-%20%5Csin%202%5Calpha%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
![\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281%20-%20%5Csin%202%5Calpha%29%20)
Answer:
60 miles
Step-by-step explanation:
120/2=60 or 60x2=120