Answer:

Step-by-step explanation:




sin(157.5°) is in quadrant ll , meaning sin(157.5°) is greater than 0 , so we take positive square root of sin(157.5°)
sin(157.5) = 
1) 80 inches of snow over 10 days
Rate: 80 inches of snow over 10 days
Unit rate: 8 inches of snow per day
2) 3 comic books for 3 dollars
Rate: 3 comic books for 3 dollars
Unit rate: $1 per comic book
3.) 5 pounds of potatoes cost $10
Rate: 5 pounds of potatoes cost $10
Unit rate: $2 for every pound of potatoes
Have a nice day!
-SpaceMarsh
Total money made = money made off of the popcorn + money made off of the fruit
Total money made= # of popcorn buckets * cost of each bucket + # of fruit baskets * cost per basket
$468 = 13p + 13($20.75)
$468 = 13p + $269.75
13p = $198.25
Cost per popcorn bucket = $15.25
Answer:
Part A:

Part B:
Generations Age=25*39=975 years
Part C:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.
Step-by-step explanation:
Given Data:
Two Parents, Four Grand Parents, Eight great Grand Parents.
Generation=39
Solution:
Part A:
From given data Following series is made:

Now, Above series will become:
![2[1+2+2^2+......+2^{38}]](https://tex.z-dn.net/?f=2%5B1%2B2%2B2%5E2%2B......%2B2%5E%7B38%7D%5D)
From geometric Sequence:
![2[\frac{2^{38+1}-1}{2-1} ]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B2%5E%7B38%2B1%7D-1%7D%7B2-1%7D%20%5D)

Part B:
Generations Age=years*Number of generations
Generations Age=25*39=975 years
Part C:
Number of people lived= 10^11
Ancestors=

It means ancestors are not distinct, it means:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.