The answer is
round cake - 82.42 in²
rectangular cake - 114 in²
Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in
The surface are of a cylinder is:
A = 2πr² + 2πrh
The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
= 38.46 + 43.96
= 82.42 in²
Rectangular cake:
w = 6 in
l = 9 in
h = 2 in
The surface are of a rectangle is:
A = 2wl + 2wh + 2lh
The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
= 54 + 24 + 36
= 114 in²
Each number in the pattern is called a term. The value added each time is called the common difference
Answer:B-70
Step-by-step explanation:
from the figure, In 
Thus we can write
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
<h3>What is Permutation and combination?</h3>
Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
= n! / r! (n-r)!
= 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
Learn more about Permutation and combination here:
brainly.com/question/11732255
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The probability that the new UNC-CH logo will be profitable is <u>0.9897 </u>while the probability for NC State will be <u>0.9600.</u>
<h3 /><h3>What is the probability that the brands will be successful?</h3>
The probability that the UNC-CH logo is successful is:
= Favorable odds / Total odds
= 96 / (96 + 1)
= 0.9897
The probability that the NC State logo is profitable is:
= Favorable odds / Total odds
= 24 / (24 + 1)
= 0.9600
There is less than a 3% variation in both logos' profitablility probability so the company should not spend 4 times more on UNC-CH.
Find out more on probabilities of profit at brainly.com/question/13500115.
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