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seropon [69]
3 years ago
6

The Cartesian coordinate system can be applied to three-dimensional solids. Instead of two axes, the coordinate system has three

, what are they?
Mathematics
2 answers:
LiRa [457]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:

They are called the x, y, and z axes.  The z axis is perpendicular to both the x and y axes. (i.e. perpendicular to the plane created by the x, y axes)

Thank you,

MrB


Nutka1998 [239]3 years ago
4 0

Answer:

x -axis, y-axis and z-axis.

Step-by-step explanation:

in three-dimensional figure, there will be three coordinates name x, y and z.

That is x -axis, y-axis and z-axis.

Hope this will helpful.

Thank you.

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HELP PLEASE!!! I need help with 94 if you could show the steps that would be very helpful!
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A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:

n!/((n-r)!r!)

In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.

5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5

5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10

5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10

5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5

Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.

Now we add together the combinations

1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.

The answer is 32.

-------------------------------

Note: There is also an equation for permutations which is:

n!/(n-r)!

Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.

We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.

I hope this helps! If you have any questions, let me know :)








7 0
3 years ago
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