The length and width of a rectangle added together is 124. If the width is
subtracted from the length it equals 32.
Find the length and width of this rectangle.

The length of rectangle is 78 and width is 46

Step-by-step explanation:

Let l be the length of rectangle and w be the width of rectangle

Then according to given statement

"The length and width of a rectangle  added together is 124"

 Eqn 1

And

   Eqn 2

The equation form a system of linear equation in two variables. We can use different methods to solve he system.

We will use the elimination method

Adding equation 1 and equation 2

Putting l = 78 in equation 1

Hence,

The length of rectangle is 78 and width is 46

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

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step-by-step explanation:

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