Here is an example,
<span>The ratio of boys to girls in the class was 4:5. There were 24 people in the class. How many boys? How many girls?
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4:5 is the same as 4x:5x where 4x is # of boys and 5x is # of girls.
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Equation:
4x+5x = 24
9x = 24
x = 24/9
</span>
Answer:
Step-by-step explanation:
cos 2α=1-2 sin² α
![sin \alpha =\sqrt{\frac{1-cos2\alpha }{2} } \\put~ \alpha =\frac{\pi }{8} \\2\alpha =\frac{\pi }{4} \\cos 2\alpha =cos \frac{\pi }{4}=\frac{1}{\sqrt{2} } \\\\sin(\pi/8)=\sqrt{\frac{1-\frac{1}{\sqrt{2} } }{2}} =\sqrt{\frac{\sqrt{2}-1 }{2\sqrt{2} }](https://tex.z-dn.net/?f=sin%20%5Calpha%20%3D%5Csqrt%7B%5Cfrac%7B1-cos2%5Calpha%20%7D%7B2%7D%20%7D%20%5C%5Cput~%20%5Calpha%20%3D%5Cfrac%7B%5Cpi%20%7D%7B8%7D%20%5C%5C2%5Calpha%20%3D%5Cfrac%7B%5Cpi%20%7D%7B4%7D%20%5C%5Ccos%202%5Calpha%20%3Dcos%20%5Cfrac%7B%5Cpi%20%7D%7B4%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%5C%5C%5C%5Csin%28%5Cpi%2F8%29%3D%5Csqrt%7B%5Cfrac%7B1-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D%20%7D%7B2%7D%7D%20%3D%5Csqrt%7B%5Cfrac%7B%5Csqrt%7B2%7D-1%20%7D%7B2%5Csqrt%7B2%7D%20%7D)
6 sin 3 \theta+6 sin \theta
![6 sin 3 \alpha +6 sin\alpha =6(sin 3\alpha +sin \alpha )\\=6 *2sin \frac{3\alpha+\alpha }{2} cos \frac{3\alpha-\alpha }{2} \\=12 sin 2\alpha cos \alpha](https://tex.z-dn.net/?f=6%20sin%203%20%5Calpha%20%2B6%20sin%5Calpha%20%3D6%28sin%203%5Calpha%20%2Bsin%20%5Calpha%20%29%5C%5C%3D6%20%2A2sin%20%5Cfrac%7B3%5Calpha%2B%5Calpha%20%20%7D%7B2%7D%20cos%20%5Cfrac%7B3%5Calpha-%5Calpha%20%20%7D%7B2%7D%20%5C%5C%3D12%20sin%202%5Calpha%20cos%20%5Calpha)
please change α to \theta
Answer:
nsjzjzk
Step-by-step explanation:
sbsnnsiydo6srkyfzlufzwhcw
Answer:
X - 7 x 8 = 24
Step-by-step explanation:
Is your algebra expression