Answer:
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Answer:
75% because the ratio is 1:4 so the probability of the next being minestrone is high.
Well, what are the pictures??
Recall the fundamental rule of trig:
![\sin^2(x)+\cos^2(x)=1 \quad\forall x \in \mathbb{R}](https://tex.z-dn.net/?f=%5Csin%5E2%28x%29%2B%5Ccos%5E2%28x%29%3D1%20%5Cquad%5Cforall%20x%20%5Cin%20%5Cmathbb%7BR%7D)
So, there exists an angle
such that
![(0.6,0.35)=(\sin(t),\cos(t))](https://tex.z-dn.net/?f=%280.6%2C0.35%29%3D%28%5Csin%28t%29%2C%5Ccos%28t%29%29)
if and only if
![\sin^2(t)+\cos^2(t)=0.6^2+0.35^2=1](https://tex.z-dn.net/?f=%5Csin%5E2%28t%29%2B%5Ccos%5E2%28t%29%3D0.6%5E2%2B0.35%5E2%3D1)
Working out the numbers, we get
![0.6^2+0.35^2=0.36+0.1225=0.4825\neq 1](https://tex.z-dn.net/?f=0.6%5E2%2B0.35%5E2%3D0.36%2B0.1225%3D0.4825%5Cneq%201)
So, there doesn't exist a number
such that
![(0.6,0.35)=(\sin(t),\cos(t))](https://tex.z-dn.net/?f=%280.6%2C0.35%29%3D%28%5Csin%28t%29%2C%5Ccos%28t%29%29)