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Valentin [98]
3 years ago
12

How many unique planes can be determined by four noncoplanar points?

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

Four unique planes

Step-by-step explanation:

Given that the points are non co-planar, triangular planes can be formed by the joining of three points

The points will therefore appear to be at the corners of a triangular pyramid or tetrahedron such that together the four points will form a three dimensional figure bounded by triangular planes

The number of triangular planes that can therefore be formed is given by the combination of four objects taking three at a time as follows;

₄C₃ = 4!/(3!×(4-3)! = 4

Which gives four possible unique planes.

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Which questions result in data that is categorical? Check all that apply.
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Answer:

1,2,3,5

Step-by-step explanation:

1-Is your job as an IT administrator stressful?

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8 0
3 years ago
The output is the cube of the input
Murrr4er [49]
<span>1.)the output is half of the input.
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The temperature in Minneapolis, Minnesota, at 4 P.M. was 15°F. By midnight, the temperature had deceased by 18°. What was the te
Sholpan [36]

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Step-by-step explanation:

3 0
3 years ago
a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e
Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume.  length, width and height.  The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20.  We also have to ask how many lengths, widths and heights are there.  That may be a bit hard to understand, but  is you are looking at a block I could ask how many edges are vertical, just going up and down.  These would be the heights.  There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.  

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

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x*3x*(5-4x)

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15x^2 - 12x^3

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5 0
3 years ago
Is 21/48 greater or less than 1/2
Svetlanka [38]
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No.

Half of 48 would be 24, not 21

<3
6 0
3 years ago
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