For this case we have the following expression:

We apply distributive property, which by definition establishes that:

So:

Answer:

Answer:
Step-by-step explanation:
Total surface area = 2πr(r+h)
If the total area of the bigger cylinder is 400cm² and radius is 4cm, then;
400=2(3.14)(r)(r+4)
400= 6.26r(r+4)
400=100.48 + 25.12h
299.52 = 25.12h
H = 299.52/25.12
H = 11.92cm
For the smaller cylinder
The height is calculated as;
H/h = R/r
11/92/
Answer:

Step-by-step explanation:
we know that
The given equation y=5 is a horizontal line (is parallel to the x-axis)
The slope of the given line is equal to zero
A perpendicular line to the given line is a vertical line (parallel to the y-axis)
so
The equation of a vertical line is equal to the x-coordinate of the point that passes through it
The point that passes through it is (-4,-6)
therefore
The equation of the perpendicular line is

The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle = 
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle =
square feet.
The surface area for all the similar triangles =
square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square =
square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area =
square feet which is the third option.