Answer:
-1 1/9
Step-by-step explanation:
2x + 7x = -10 (equation)
9x = -10 (combine like terms)
x = -10/9 (move the 9 over)
x = -1 1/9 (simplify)
Total number of sheets are 12.
Total number of white sheets= 9
Total number of red sheets = 3
Probability = Number of favorable outcomes/ total number of outcomes.
Hence
When Calvin throws the sheets in the air, the probability that he gets a white sheet is
![\frac{9}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B12%7D)
which equals to ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
that becomes 0.75
Answer:
Step-by-step explanation:
sin θ=1/4,tan θ>0
so θ lies in first quadrant.
cos θ=√(1-sin²θ)=√(1-(1/4)²)=√(1-1/16)=√(15/16)=√15/4
![2cos^2 \frac{\theta}{2} =1+cos \theta](https://tex.z-dn.net/?f=2cos%5E2%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D1%2Bcos%20%5Ctheta)
![2~cos^2\frac{\theta}{2} =1+\frac{\sqrt{15} }{4} =\frac{4+\sqrt{15}}{4} \\cos~\frac{\theta}{2} =\sqrt{\frac{4+\sqrt{15} }{4 \times 2} } \\cos\frac{\theta}{2} =\frac{\sqrt{8+2\sqrt{15}} }{4}](https://tex.z-dn.net/?f=2~cos%5E2%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D1%2B%5Cfrac%7B%5Csqrt%7B15%7D%20%7D%7B4%7D%20%3D%5Cfrac%7B4%2B%5Csqrt%7B15%7D%7D%7B4%7D%20%5C%5Ccos~%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Csqrt%7B%5Cfrac%7B4%2B%5Csqrt%7B15%7D%20%7D%7B4%20%5Ctimes%202%7D%20%7D%20%5C%5Ccos%5Cfrac%7B%5Ctheta%7D%7B2%7D%20%3D%5Cfrac%7B%5Csqrt%7B8%2B2%5Csqrt%7B15%7D%7D%20%7D%7B4%7D)
Answer:
8/12
Step-by-step explanation: