Answer:

Step-by-step explanation:
All the angles in a triangle add up to 
Every right angle triangle has a right angle in it which is 
So to find the remaining angle, you do
-
-
= 
Answer:

Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:

i.e.

Make x the subject



-- approximated
To answer this, you will use the area of 900 square yards to determine the distances between the bases. Each side of the square is 30 yards, so it will be 30 yards from 1st to home and from 1st to 2nd.
The distance from home to 2nd is a diagonal in the square (the hypotenuse).
You will use the Pythagorean Theorem to find this distance.
a^2 + b^2 = c^2
30^2 + 30 ^2 = c^2
900 + 900 + c^2
1800 = c^2
The square root of 1800 is approximately 42.4 yards.
The ball travels approximately 42.4 yards.
Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
, where
= population standard deviation , n= sample size.
Given: 
n= 256
Then, the standard error of the mean:-

Hence, option a. is correct.