Answer:
The answer is.
x=75
y=105
z=75
Step-by-step explanation:
Answer:
![\frac{\sin(x)}{46}=\frac{\sin(45^{\circ})}{34}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%28x%29%7D%7B46%7D%3D%5Cfrac%7B%5Csin%2845%5E%7B%5Ccirc%7D%29%7D%7B34%7D)
Step-by-step explanation:
In any triangle, the Law of Sines holds true:
![\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%3D%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%3D%5Cfrac%7B%5Csin%20C%7D%7Bc%7D)
(the ratio of any angle and its opposite side will be maintained)
Therefore, we have:
![\boxed{\frac{\sin(x)}{46}=\frac{\sin(45^{\circ})}{34}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cfrac%7B%5Csin%28x%29%7D%7B46%7D%3D%5Cfrac%7B%5Csin%2845%5E%7B%5Ccirc%7D%29%7D%7B34%7D%7D)
A. 3/5 of the class are girls.
B. 96 of the pupils are boys.
A. To find this answer you subtract 2 from 5 to get 3 (numerator or top of fraction) then use 5 as the denominator or bottom of the fraction.
B. To find this answer, you divide 240 by 5, to show how many pupils are in 1/5 of the class (48). Then multiply 48 by 2, to get the 2/5 of the pupils who are boys (96).
I hope this helps!
#1 is 3
#2 is 0
#3 is -2
#4 is 7