Using sine formula we have
8/sin60 = x/sin30
hence x= 8/√3 = 4.62
In order find the Inequalities, First we need to Find the Equations of Both the Lines.
<u>Equation of First line :</u>
It is passing through the Points (0 , 2) and (4 , 0)
⇒ Slope = 
⇒ Equation of the First Line : 
⇒ Equation of the First Line : x + 2y = 4
<u>Equation of Second Line :</u>
It is passing through the Points (1.5 , 0) and (0 , -3)
⇒ Slope = 
⇒ Equation of the Second Line : y + 3 = 2x
⇒ Equation of the Second Line : 2x - y = 3
As the Shaded Area of the First Line is away from the Origin :
⇒ x + 2y ≥ 4
As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :
⇒ 2x - y < 3
So, the System of Linear Inequalities are :
⇒ x + 2y ≥ 4
⇒ 2x - y < 3
<u>3x + 2y = 4</u>
Here are a few different ways
to represent the same line:
2y = 4 - 3x
y = -1.5x + 2
5y = -7.5x + 10
3x = 4 - 2y
x = -2/3y + 4/3
So if there are 8 bricks in a column, what we can say is, how many 8's will equal 32?
So basically,
8(?) = 32
And then if you divide both sides by 8, you get ? = 4.
So there are 4 bricks in each row.