The correct answer would be B because .47 is bigger than 42/100 or .42
Answer:
Answer is E but not 100%
Step-by-step explanation:
Answer:
49 total pounds
Step-by-step explanation:
If a 1 piece of ham is 1 pound then 9 pieces is 9 pounds if turkey si 4 pounds then 10 turkeys is 40 pounds so our answer is 49 total pounds.
Answer:
600 students attend the school.
Step-by-step explanation:
495-7=488
488/4=122
488+122= 600
Answer:
![\large\boxed{Q2.\ \cos\theta=\dfrac{3}{5}}\\\boxed{Q3.\ \sin(\alpha+\beta)=-\dfrac{13}{85}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BQ2.%5C%20%5Ccos%5Ctheta%3D%5Cdfrac%7B3%7D%7B5%7D%7D%5C%5C%5Cboxed%7BQ3.%5C%20%5Csin%28%5Calpha%2B%5Cbeta%29%3D-%5Cdfrac%7B13%7D%7B85%7D%7D)
Step-by-step explanation:
Q2.
![270^o](https://tex.z-dn.net/?f=270%5Eo%3C%5Ctheta%3C360%5Eo-IV%5C%20Quarter%5C%5C%5C%5C%5Csin%5Ctheta%3D-%5Cdfrac%7B4%7D%7B5%7D%2C%5C%20%5Ccos%5Ctheta%3D%3F%5C%5C%5C%5C%5Ctext%7BUse%7D%5C%20%5Csin%5E2x%2B%5Ccos%5E2x%3D1%5C%5C%5C%5C%5Cleft%28-%5Cdfrac%7B4%7D%7B5%7D%5Cright%29%5E2%2B%5Ccos%5E2%5Ctheta%3D1%5C%5C%5C%5C%5Cdfrac%7B16%7D%7B25%7D%2B%5Ccos%5E2%5Ctheta%3D1%5Cqquad%5Ctext%7Bsubtract%7D%5C%20%5Cdfrac%7B16%7D%7B25%7D%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C%5Ccos%5E2%5Ctheta%3D%5Cdfrac%7B25%7D%7B25%7D-%5Cdfrac%7B16%7D%7B25%7D%5C%5C%5C%5C%5Ccos%5E2%5Ctheta%3D%5Cdfrac%7B9%7D%7B25%7D%5Cto%5Ccos%5Ctheta%3D%5Cpm%5Csqrt%7B%5Cdfrac%7B9%7D%7B25%7D%7D%5C%5C%5C%5C%5Ccos%5Ctheta%3D%5Cpm%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5Ctheta%5C%20%5Ctext%7Bis%20in%20IV%20Quarter.%20Therefore%7D%5C%20%5Ccos%5Ctheta%3E0%5Cto%5Cboxed%7B%5Ccos%5Ctheta%3D%5Cdfrac%7B3%7D%7B5%7D%7D)
Q3.
![180^o\alpha](https://tex.z-dn.net/?f=180%5Eo%5Calpha%3C270%5Eo-III%5C%20Quarter%5C%5C%5C%5C%5Ccos%5Calpha%3D-%5Cdfrac%7B8%7D%7B17%7D%2C%5C%5C%5C%5C%5Csin%5E2%5Calpha%2B%5Cleft%28-%5Cdfrac%7B8%7D%7B17%7D%5Cright%29%5E2%3D1%5C%5C%5C%5C%5Csin%5E2%5Calpha%2B%5Cdfrac%7B64%7D%7B289%7D%3D1%5Cqquad%5Ctext%7Bsubtract%7D%5C%20%5Cdfrac%7B64%7D%7B289%7D%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C%5Csin%5E2%5Calpha%3D%5Cdfrac%7B289%7D%7B289%7D-%5Cdfrac%7B64%7D%7B289%7D%5C%5C%5C%5C%5Csin%5E2%5Calpha%3D%5Cdfrac%7B225%7D%7B289%7D%5Cto%5Csin%5Calpha%3D%5Cpm%5Csqrt%7B%5Cdfrac%7B225%7D%7B289%7D%7D%5C%5C%5C%5C%5Csin%5Calpha%3D%5Cpm%5Cdfrac%7B15%7D%7B17%7D%5C%5C%5C%5C%5Calpha%5C%20%5Ctext%7Bis%20in%20III%20Quarter.%20Therefore%7D%5C%20%5Csin%5Calpha%3D-%5Cdfrac%7B15%7D%7B17%7D)
![270^o](https://tex.z-dn.net/?f=270%5Eo%3C%5Cbeta%3C360%5Eo-IV%5C%20Quarter%5C%5C%5C%5C%5Csin%5Cbeta%3D-%5Cdfrac%7B4%7D%7B5%7D%5C%5C%5C%5C%5Cleft%28-%5Cdfrac%7B4%7D%7B5%7D%5Cright%29%5E2%2B%5Ccos%5E2%5Cbeta%3D1%5C%5C%5C%5C%5Cdfrac%7B16%7D%7B25%7D%2B%5Ccos%5E2%5Cbeta%3D1%5Cqquad%5Ctext%7Bsubtract%7D%5C%20%5Cdfrac%7B16%7D%7B25%7D%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C%5Ccos%5E2%5Cbeta%3D%5Cdfrac%7B25%7D%7B25%7D-%5Cdfrac%7B16%7D%7B25%7D%5C%5C%5C%5C%5Ccos%5E2%5Cbeta%3D%5Cdfrac%7B9%7D%7B25%7D%5Cto%5Ccos%5Cbeta%3D%5Cpm%5Csqrt%7B%5Cdfrac%7B9%7D%7B25%7D%7D%5C%5C%5C%5C%5Ccos%5Cbeta%3D%5Cpm%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5Cbeta%5C%20%5Ctext%7Bis%20in%20IV%20Quarter.%20Therefore%7D%5C%20%5Ccos%5Cbeta%3D%5Cdfrac%7B3%7D%7B5%7D)
![\sin(\alpha+\beta)=\sin\alpha\cos\beta+\sin\beta\cos\alpha\\\\\text{Substitute:}\\\\\sin(\alpha+\beta)=\left(-\dfrac{15}{17}\right)\left(\dfrac{3}{5}\right)+\left(-\dfrac{4}{5}\right)\left(-\dfrac{8}{17}\right)\\\\=-\dfrac{45}{85}+\dfrac{32}{85}=-\dfrac{13}{85}](https://tex.z-dn.net/?f=%5Csin%28%5Calpha%2B%5Cbeta%29%3D%5Csin%5Calpha%5Ccos%5Cbeta%2B%5Csin%5Cbeta%5Ccos%5Calpha%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%5Csin%28%5Calpha%2B%5Cbeta%29%3D%5Cleft%28-%5Cdfrac%7B15%7D%7B17%7D%5Cright%29%5Cleft%28%5Cdfrac%7B3%7D%7B5%7D%5Cright%29%2B%5Cleft%28-%5Cdfrac%7B4%7D%7B5%7D%5Cright%29%5Cleft%28-%5Cdfrac%7B8%7D%7B17%7D%5Cright%29%5C%5C%5C%5C%3D-%5Cdfrac%7B45%7D%7B85%7D%2B%5Cdfrac%7B32%7D%7B85%7D%3D-%5Cdfrac%7B13%7D%7B85%7D)