3/11 *2 = 6/22
3/11 *3= 9/33
3/11 *4 = 12/44
Answer:
![\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.](https://tex.z-dn.net/?f=%5Ctan%203x%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D%20%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%20%3Dtan%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%3Dtan%20%28n%5Cpi%20%2B%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%29%5C%5C3x%3Dn%5Cpi%20%2B%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%3D%5Cfrac%7B%286n%2B1%29%5Cpi%20%7D%7B6%7D%20%5C%5Cx%3D%5Cfrac%7B%286n%2B1%29%5Cpi%20%7D%7B18%7D%20%5C%5Cwhere~x~is~an~integer.)
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
Answer:
A cup of juice will cost 1.04 US dollars
Step-by-step explanation:
Here, we want to know the cost of one cup of juice in US dollars.
The cost of a quart of juice is Canada is 4.40CAN
now, since there are 4 cups in a quart, the cost of a cup of juice will be 4.40/4 = 1.10 CAN
Moving on;
We are told that 1 USD = 1.06 CAN ;
thus x usd = 1.10 CAN
1 * 1.10 = x * 1.06
x = 1.10/1.06
x = 1.037 which is approximately 1.04 USD
Answer:
None
Step-by-step explanation:
diagonal is sqrt of (s^2 x 2)
8^2 = 64
64*2 = 128
sqrt(128) = 11.3137
round answer as needed