<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
Answer: The probability of selecting a jury of all faculty=0.000071
The probability of selecting a jury of six students and two two faculty=0.3667
Step-by-step explanation:
Given: The number of students = 9
The number of faculty members=11
The total number of ways of selecting jury of eight individuals=
The number of ways of selecting jury of all faculty=
The probability of selecting a jury of all faculty=
The number of ways of selecting jury of six students and two two faculty

Now, the probability of selecting a jury of six students and two two faculty

J+(2J-3)=30
3J-3=30
3J=33
J=11
Her brother is (2J-3) so 19
19+11=30
12
y=kx
3=k1
3=3 x 1
k=3
y=3x4
y=12
Answer:
Step-by-step explanation:
Part A:
Add all the mass together so 1,105.5 grams