Consider the center of the nonagon. If we join the center to all the vertices, the central angle of 360°, is divided into 9 equal angles, each with a measure of:
360°/9=40°
So to a nonagon rotated 40°, clockwise or counterclockwise, is indistinguishable from the original one.
similarly if we rotate 80 ° c.wise or c.c.wise
in general, a nonagon has a rotational symmetry of 40°n,
where n∈{...-3, -2, -1, 0, 1, 2, 3}...
where 40°n, for n negative, means we are rotating clockwise.
Answer: any angle which is a multiple of 40°
Answer:
7.1
Step-by-step explanation:
- Find mean
- For each number you subtract the mean and square the result.
- Work out the mean of those squared differences and find square root of that.
- Hope that helped! Let me know if you need further explanation.
Answer:
A)
A1= 64
A2= 40
B)
P= 56(of whole shape)
Step-by-step explanation:
A squares area is a side squared so 8^2= 64, and it is also shown that a side of the square is the base of the parallelogram. The area of a parallelogram is b*h so (square side)(8) * height(5)= 40.
Since a parallelograms opposite sides are congruent, 8+8=16, and the other two sides need to be congruent and equal to 40-16(24), therefore the sides are both 12.
Then to calculate the perimeter just count up the side lengths, 8+8+8+12+8+12=56
Answer:
1733.28
Step-by-step explanation:
we want to find the surface area of the cylinder
We are given:
diameter = 12in
height = 40in
formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)
in order to find the SA of a cylinder we need to know the radius
we are given that the diameter is 12
we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )
so r = 12/2 = 6
now to find the surface area,
we simply plug in the values of the radius and height into the SA of a cylinder formula
SA = 2πr^2 + 2πrh
r = 6
h = 40
( note it says use 3.14 for π )
substitute values
SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)
if you plug this into a calculator you get that the surface area is 1,733.28
