1/2 fraction of whole carton was used for each serving
1. a)CK²=CH²+HK², CH - radius
CH²=CK²-HK²=50²-30²=2500-900=1600 ft²
CH=40 ft -- radius
b) cos(KCH)= CH/CK=40/50=4/5
KCH=arccos(4/5)≈36.87°
2)C=2πr≈2*3.14*40=251.2 ft
C=2*40π=80π ft --- exact
3) A =πr²=40²π=1600π ----exact
A≈1600*3.14=5024 ft
R=0.5772 (im trying to post it says wrong answer so not sure)
Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:
a) 60,466,176.
b) 5,961,600.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:

Item a:
No restrictions, hence for each of the five characters, there are 36 outcomes, hence
.
Then, the possible number of passwords is:

Item b:
The letters and the digits have to be alternated, hence:
- Starting with a letter,
.
- Starting with a digit,
.
Then, the possible number of passwords is:

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866