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nekit [7.7K]
3 years ago
7

Part A: Which three-dimensional geometric shape best models this pancake? (1 point)

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

Answer:

Step-by-step explanation:

Part A: The pancake is a cylinder shape with a circular top and bottom and straight middle.

Part B: Rotating a circle will NOT make a cylinder. Instead rotating a rectangular around a vertical axis will. It is a rectangle of 1cm height and 7cm length rotating around an axis at its edge.**

**Thanks to Moderator wegnerkolmp2741o who pointed out that it has to be a rectangle of 1cm height and 7cm length rotating around an axis at its edge. My original option of 1cm height and 14cm length rotating around its center would cause an overlapping shape.

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Step-by-step explanation:

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A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,
Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

People = 12

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Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

^nC_r = \frac{n!}{(n - r)!r!}

Where

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So, we have:

^nC_r = \frac{n!}{(n - r)!r!}

^{12}C_3 = \frac{12!}{(12 - 3)!3!}

^{12}C_3 = \frac{12!}{9!3!}

^{12}C_3 = \frac{12*11*10*9!}{9!3!}

^{12}C_3 = \frac{12*11*10}{3!}

^{12}C_3 = \frac{12*11*10}{3*2*1}

^{12}C_3 = \frac{12*11*10}{6}

^{12}C_3 = 2*11*10

^{12}C_3 = 220\ ways

<em>There are 220 choices</em>

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