Since the angles in triangle ACM indicate that it is a 30-60-90 triangle, we know that the other two sides of triangle ACM are 20 and 10 (30-60-90 triangles have a very specific side coefficient). This means that the sides of this triangle have side lengths 40, 10, and

. Adding these together you get 50+

. Hope this helps!
Answer:
b. quadruple the sample size.
Step-by-step explanation:
Given that a 95% confidence is given by (15,20) .
this implies that mean = average of lower and higher bounds of confidence interval = 
Margin of error = Upper bound - Mean = 
Confidence level = 95%
Critical value = 1.96
Std error = 
Std devition = Std error * sqrt n = 6.3775
If we want to reduce margin of error by half we must get margin of error as 1.25
For that std error for same critical value = 0.63775
Std deviation did not change
So sample size only changed which implies that sample size is 4 times the original
b. quadruple the sample size.
Answer:
Option D.75°
Step-by-step explanation:
we know that
The sum of the interior angles of a regular dodecagon is equal to

where
n is the number of sides
In this problem
n=12 sides
substitute


Find the measure of each interior angle
Divide the sum of the interior angles by the number of sides

The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle
therefore

Answer:
2/5
Step-by-step explanation:
y=2/5x-6
m=2/5
y=mx+b
Slope: 2/5
y-intercept: 6