The size of a computer monitor is the length of its diagonal. You want to buy a 19-in. monitor that has a height of 11 in. What is the width of the monitor? Round to the nearest tenth of an inch.

15.5 inches

Step-by-step explanation:

Using the Pythagorean theorem; The square of the hypotenuse is equal to the sum of the squares of the two adjacent sides

The diagonal is the longest side of a rectangle so it becomes the hypotenuse

Let w represent the width

19^2 = 11^2 + w^2

19^2 - 11^2 = w^2

361 - 121 =  w^2

240 = w^2

w =

w = 15.5 inches

step-by-step explanation:

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