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Ipatiy [6.2K]
4 years ago
9

How many planes pass through three or more vertices of a regular octahedron?

Mathematics
1 answer:
Mila [183]4 years ago
3 0

Answer:

The total number of planes = 23 planes

Step-by-step explanation:

The number of planes are give as follows;

The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20

The number of distinct planes that has 4 points in the octahedron = 3

Therefore, the total number of planes are 20 + 3 = 23 planes.

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Answer:

There are 25 reindeers and 17 snowbirds

Step-by-step explanation:

A reindeer has 4 legs while a snowbird has two legs

Let the number of reindeer be x while the number of snowbirds is y

Total heads is 42;

x + y = 42 •••••••(i)

let’s now count the legs

4(x) + 2(y) = 134

4x + 2y = 134 ••••••(ii)

divide ii by 2

2x + y = 67

y = 67 - 2x

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equate the y

67-2x = 42-x

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y = 42-x

y = 42-25

y = 17

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