At this rate, Brian plans 10/162 of his shirt.
The speed for which Brian iron the shirts is given by
![\frac{2}{9}/\frac{18}{5} = \frac{x}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B9%7D%2F%5Cfrac%7B18%7D%7B5%7D%20%3D%20%5Cfrac%7Bx%7D%7B1%7D)
Cross multiply to get
![\frac{2}{9} =\frac{18}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B9%7D%20%3D%5Cfrac%7B18%7D%7B5%7Dx)
Multiply both sides by 5/18 to solve for x.
![\frac{10}{162} = \frac{5}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B162%7D%20%3D%20%5Cfrac%7B5%7D%7B31%7D)
At this rate, Brian plans 10/162 of his shirt.
learn more Cross multiply :brainly.in/question/34341065
20817
Answer:
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Step-by-step explanation:
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![cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}](https://tex.z-dn.net/?f=cos%5Cleft%20%28%20%5Cfrac%7B9%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Cfrac%7B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%7D%7B2%7D)
Step-by-step explanation:
We know that
cos 2x = 2cos²x - 1
So we have
![cosx=\sqrt{\frac{1+cos2x}{2}}](https://tex.z-dn.net/?f=cosx%3D%5Csqrt%7B%5Cfrac%7B1%2Bcos2x%7D%7B2%7D%7D)
Substituting ![x=\frac{19\pi}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B19%5Cpi%7D%7B12%7D)
![cos\left ( \frac{19\pi}{12}\right )=\sqrt{\frac{1+cos2\left ( \frac{19\pi}{12}\right )}{2}}\\\\cos\left ( \frac{19\pi}{12}\right )=\sqrt{\frac{1+cos\left ( \frac{19\pi}{6}\right )}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{1+cos570}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{2-\sqrt{3}}{4}}\\\\cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}](https://tex.z-dn.net/?f=cos%5Cleft%20%28%20%5Cfrac%7B19%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Csqrt%7B%5Cfrac%7B1%2Bcos2%5Cleft%20%28%20%5Cfrac%7B19%5Cpi%7D%7B12%7D%5Cright%20%29%7D%7B2%7D%7D%5C%5C%5C%5Ccos%5Cleft%20%28%20%5Cfrac%7B19%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Csqrt%7B%5Cfrac%7B1%2Bcos%5Cleft%20%28%20%5Cfrac%7B19%5Cpi%7D%7B6%7D%5Cright%20%29%7D%7B2%7D%7D%5C%5C%5C%5Ccos%5Cleft%20%28%20%5Cfrac%7B9%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Csqrt%7B%5Cfrac%7B1%2Bcos570%7D%7B2%7D%7D%5C%5C%5C%5Ccos%5Cleft%20%28%20%5Cfrac%7B9%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Csqrt%7B%5Cfrac%7B1-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%7D%7B2%7D%7D%5C%5C%5C%5Ccos%5Cleft%20%28%20%5Cfrac%7B9%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Csqrt%7B%5Cfrac%7B2-%5Csqrt%7B3%7D%7D%7B4%7D%7D%5C%5C%5C%5Ccos%5Cleft%20%28%20%5Cfrac%7B9%5Cpi%7D%7B12%7D%5Cright%20%29%3D%5Cfrac%7B%5Csqrt%7B2-%5Csqrt%7B3%7D%7D%7D%7B2%7D)
Question A: 14
Question B: 30min