Answer:
The slope is -2/9
Step-by-step explanation:
9y + 2x = 54
Solve for y to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
Subtract 2x from each side
9y + 2x -2x = -2x+54
9y = -2x+54
Divide by 9
9y/9 = -2x/9 + 54/9
y = -2/9 x +6
The slope is -2/9
Parallel lines have the same slope
Step-by-step explanation:
The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.
the expression for the volume of a cylinder is

the volume of a cone is a part of the volume of a cylinder

Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3
Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
Answer:
a=d-c/b
Subtract c from both sides
a=d-c/b
divide both sides by b