Answer:
45 or multiples of 45 around the centre of octagon
Step-by-step explanation:
Given that ABCDEFGH is a regular octagon. i.e. it has 8 sides.
Since regular ocagon, all interior angles would be equal.
Sum of all interior angles of octagon = 2(8)-4 right angles
= 12 right angles
Hence each angle = 12(90)/8 = 135 degrees
Thus the octagon when rotated will take the same shape if vertices interchange also due to the property that all sides and angles are equal
Since each angle is 135 imagine an octagon with one vertex at origin O, and adjacent vertex B on x axis. OB has to be coincident with BC the next side or the previous side to get it mapped onto itself
The centre will be at the middle with each side subtending an angle of 45 degrees.
Hence if rotation is done around the centre with 45 degrees we will get octagon mapped onto itself.
45, 90, 135 thus multiples of 45
<h3>
Answer: Choice D) 2 & 1/2</h3>
Work Shown:
Length of AC = 10-4 = 6 units (I'm subtracting the x coordinates)
Length of A'C' = 25-10 = 15 units
Scale factor = (A'C')/(AC) = 15/6 = 5/2 = 2.5 = 2 & 1/2
Triangle A'B'C' has side lengths that are 2 & 1/2 times longer compared to the corresponding sides of triangle ABC.
The area of regular polygon with 5 sides is 689.65m²
<u>Explanation:</u>
All sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:
where
s is the length of any side
n is the number of sides
tan is the tangent function calculated in degrees
Let the number of side of a polygon be 5. So, putting the values in equation
Therefore, the area of regular polygon with 5 sides is 689.65m²
Answer:
108
Step-by-step explanation:
To find a certain percent of something, you multiply that number by 0.the percent.
So for this, we multiply 180 times 0.60
180 * 0.60 = 108
Answer:
0.1946 is the probability that the September energy consumption level is between 1100 kWh and 1250 kWh.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 990 kWh
Standard Deviation, σ = 198 kWh
We are given that the distribution of energy consumption levels is a bell shaped distribution that is a normal distribution.
Formula:
P(September energy consumption level is between 1100 kWh and 1250 kWh)
0.1946 is the probability that the September energy consumption level is between 1100 kWh and 1250 kWh.