A decagon has 10 sides.
It it is regular you can build 10 isosceles triangles from the center of the decagon to the 10 sides.
Each triangle has a common vertex where the angle of each triangle is 360° / 10 = 36°.
So each time that you rotate the decagon a multiple of 36° around the center you get an image that coincides with the original decagon.
If the letters are given clockwise:
- when you rotate 36° counter clockwise, the point A' (the image of A) will coincide with the point J.
- when you rotate 72° (2 times 36°) counter clockwise, the point A' will land on I.
- when you rotate 108° (3 times 36°) counter clockwise, the point A' will land on H.
- when you rotate 144° (4 times 36°) counter clockwise, the point A' will land on G.
- when you rotate 180° (5 times 36°) counter clockwise, the point A' will land on I.
- when you rotate 216° (6 times 36°) counter clockwise, the point A' will land on E.
- whn you rotate 252° (7 times 36°) counterclockwise, the point A' will coincide with D.
Add other 36° each time and A' will coincide successively with C, B and the same A.
A sample size of 60 is required.
We use the formula

We first find the z-score associated with this level of confidence:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.99 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:
Answer:
D.
Step-by-step explanation:
Rate of change is another way of saying "find the gradient".
Sub any value into the gradient formula.
Answer:
1701 high
2712 wide
789 long
= 4413
Step-by-step explanation:
Answer:
(3)11
Step-by-step explanation:
We are given that

We have to find the sum of positive roots of the equation.




Factor of 336
2,3,4,6,8,7,
Let x=2

x=2 is not the root of equation
x=-2

Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3

Therefore, x=3 is the root of equation.






Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.