The smallest degree of rotation is called the angle of rotation. This can be calculated by dividing the angle of full rotation by the number of sides of a regular polygon. Since a full rotation is 360 degrees, we divide 360 by 24.
Thus, the smallest rotation needed to map the polygon back to itself is 15 degrees.
Even if you don't solve for the correlation coefficient, you can already solve this by process of elimination and inspection. The correlation coefficient has a positive value, therefore, it's not D. Looking at the data, you can see a trend in the values; as one data increases, the other increases as well. Therefore, the dependency of the variables is strong and the correlation coefficient must be close to 1. So, the answer is B.
Answer:
Step-by-step explanation:
We can solve the first equation, f of -3. The value of the function f is 
, and plugging in -3 gets us 
, this results in 10 divided by negative 2, which is negative 5.
Now, we must solve g of negative one third. The function g is defined as 
. Plugging in negative one third into the question gets us 
9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.
Now, we must solve h of negative 2, and h is defined as 
. Plugging in negative 2, we have 
. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13
