Answer:
Option A. 
and 
Step-by-step explanation:
we know that
The solution of the first inequality is the shaded area below the solid line 
The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)
therefore
The first inequality is
The solution of the second inequality is the shaded area to the right of the solid line x=0
therefore
The second inequality is
Answer:
The solution is w=8
Step-by-step explanation:
we have
-2w+4=-12
Solve for w
That means -----> isolate the variable w
Subtract 4 both sides
-2w+4-4=-12-4
-2w=-16
Divide by -2 both sides
-2w/-2=-16/-2
w=8
Answer:
51.63m^3
Step-by-step explanation:
The figure is made up of a rectangle, triangle and a semi circle
Area of the figure = Area of triangle + rectangle + semicircle
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 3 * 5
Area of the triangle = 15/2
Area of the triangle = 7.5m^3
Area of the rectangle = Length * Width
Area of the rectangle = 6 * 5
Area of the rectangle = 30m^2
Area of the semicircle = πr²/2
Area of the semicircle = π(3)²/2
Area of the semicircle = 3.14(9)/2
Area of the semicircle = 3.14 * 4.5
Area of the semicircle = 14.13m^2
The area = 30 + 14.13+7.5
Area of the figure = 51.63m^3
