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Hunter-Best [27]
2 years ago
13

The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices

and how many style choices they might have if there are 8 possible outcomes. Justify your answer.
Mathematics
1 answer:
Yanka [14]2 years ago
3 0
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
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Answer:

C

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the total surface area of such a pyramid is the sum of 5 areas :

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now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

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we can use Pythagoras

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slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

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all 4 side triangles = 4×32.24903099... =

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and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

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