Answer:
385 golf balls
Step-by-step explanation:
margin of error = (z*)(s) / sqrt n
where z* = 1.96 with 5%/ 2 = 0.025 area in each tail
margin of error = (z*)(s) / sqrt n
1.2 yards = (1.96)(12 yards) / sqrt n
solve for n
n = 384.16
385 golf balls (always round up)
Answer: The distance between Fort Collins and Greeley is 35.84 km.
Step-by-step explanation:
Since we have given that
Distance travelled due south of Fort Collins = 18 km
Distance traveled due west of Greeley = 31 km
So, using the pythagorous theorem, we will find the distance between Fort Collins and Greeley.
So, it becomes,

So, the distance between Fort Collins and Greeley is 35.84 km.
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Answer:
Proved
Step-by-step explanation:
To Prove: 
Proof:
Now: 
Therefore:

Applying these angle sum formula


Divide all through by 

=sin \alpha cos \beta + cos \alpha sin \beta/cos \alpha cos \beta/cos \alpha cos \beta- sin \alpha sin \beta/cos \alpha cos \beta
=sin \alpha/cos \alpha + sin \beta/cos \beta/1-tan \alpha tan \beta
=tan A + tan B/1-tan A tan B