One pipe can fill a swimming pool in 10 hours, while a second pipe can fill the pool in 6 hours. If the second pipe is turned on 2 hours after the first, how long will it take to fill up the pool?

6 4/5 hours

Step-by-step explanation:

If one pipe can fill the pool in 10 hours, then it can fill 1/5 of the pool in 2 hours.

If two pipe's can fill the pool in 6 hour's, then it can fill 1/5 of the pool 1 1/5 hours.

So:

6-1 1/5=4 4/5

4 4/5+2=6 4/5

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2