Answer:
Step-by-step explanation:
55 is the one time fee so that's your y intercept
0.40 is your slope
so y = mx + b
y = 0.40m + 55
this should be correct, unless you're doing something else.
If the hoop rotates (3/2)*pi radians in 1 second, then we multiply by 60 seconds to get the angular distance it rotates in 1 minute:
(3/2)*pi*60 = 90*pi radians in 1 minute.
Then since 1 revolution has 2*pi radians, we divide 90*pi/2*pi = 45 (with no remainder). Therefore, the hoop makes 45 revolutions per minute.
The area of the square is 9 in^2
The side of a square is the square root of the area.
Side of square = √9 = 3 inches.
The side of the square is the diameter of the inscribed circle.
Circumference of a circle is PI x diameter.
Circumference of inscribed circle = 3.14 x 3 = 9.42 inches
The diameter for the circumscribed circle would be the diagonal of the square which is 3√2 = ( Side length x √2) ≈ 4.2426
The circumference = 3.14 x 3√2 = 13.321
Find the ratio between the two circles:
Circumscribed / inscribed =
13.321 / 9.42 = 1.41
The area for a regular decagon is a bit complicated to type out, but a quick google search "decagon formula" should bring it up.
its like A= (5/2) a^2 sqrt(5+2*sqrt(5)) so yeah just google that and plug the values that they gave you in
i got 1107.97~
the perimeter is P = 10a where a is the side length. in this case it is 12. so the perimeter is 10*(12) which is 120cm.
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.