Answer:
-918.55
Step-by-step explanation:
In x th month, members =
. Option D.
Step-by-step explanation:
Given,
Initially number of members = 3
Every month each member brought 1 new member.
To find the number of members after x months.
<u>Solution:</u>
In 1st month, members = 3
In 2nd month, members = 3×3 = 9 = 3²
In 3rd month, members = 9×9 = 81 = ![3^{4}](https://tex.z-dn.net/?f=3%5E%7B4%7D)
In 4th month, members = 81×81 = 81 = 6561 = ![3^{8}](https://tex.z-dn.net/?f=3%5E%7B8%7D)
Hence,
In x th month, members = ![3^{2x}](https://tex.z-dn.net/?f=3%5E%7B2x%7D)
*The width in your question - I assumed it is refers to the height of the triangle base.
Volume of a triangle prism = base area x height
The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂
Plug in the values and solve for height₂:
50.4 = (1/2 x 9 x 3.5) x height
50.4 = 15.75 x height
height = 50.4 ÷ 15.75
height = 3.2 units
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Answer: Height = 3.2 units
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