a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. how long will it take to fill the vat if both pipes are left open? (in hours)

15 hours

Step-by-step explanation:

1vat/6hours - 1vat/10hours = 1vat/xhours

1/6 - 1/10 = 1/x

Use common denominator of 30

5/30 - 3/30 = 1/x

2/30 = 1/x

1/15 = 1/x

Cross multiply

x = 15 hours

hope it you

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