Solve: -rt - 80 > 30 for r. show your work!

So to solve for a variable, we must isolate it onto 1 side of the inequality. In this case, we must isolate r. Firstly, add 80 to both sides of the inequality:

Next, divide both sides by t:

Next, multiply both sides by -1. Since we are multiplying by a negative number, flip the inequality symbol as well:

In short, your final answer is

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