Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Step-by-step explanation:
The answer is
If naya is 4 years old then 3 times Adam age is 12
After 4 years naya is 8 years old and Adam is 16
We can check it because twice of 8 is 16
So now Adam is 12 years and Naya is 4 years old
Sequence: 34, 42, 50, 58, 66
Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:
Given that the first term is 34 and the common difference is 8, the explicit formula would be:
Solution
Given the population function to be;
When P(t) = 150
1803 + 38 = 1841.
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