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3 years ago

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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Find the missing length for a right triangle with hypotenuse of 18 and a leg length of 6. Round to the nearest whole number if n

DiKsa [7]

$a^2 + b^2 = c^2$

$a^2 + 6^2 = 18^2$

$a^2 + 36 = 324$

$a^2 = 288$

$a = \sqrt{288}$

$a = \sqrt{144 \times 2}$

$a = 12\sqrt{2}$

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4 years ago

Read 2 more answers

Julie's entertainment budget for the next six months is $150 per month. She enjoys watching the latest movies and loves the ball

Alex777 [14]

$150 = 1 month
Movie ticket=$15
Ballet ticket=$35

Money spent
1 ballet ticket=$35
3 movie tickets=(3x15)=$45
Money spent =$80

Money left=(total amount-money spent)
=($150 -$80)
=$70
Ballet shows Julie would be able to attend=$70/$35
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3 years ago

Which is the best approximation for the measure of angle ABC?

ankoles [38]

We can find the approximate measurement of angle ABC and it is equal to 180°. The summation of all angles in a triangle is 180°.
Solving for x or angle B, we need to used Pythagorean theorem and SOH CAH TOA.
Solving for angle A:
sinA = 10.5/20
A = 31.67°

Solving for angle B:
180° = ∠C + ∠B + ∠A
180° = 90° + ∠B + 31.67
∠B = 58.33°

The x value is 58.33°.

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3 years ago

using ruler and set square draw AB 8cm long. construct line PQ parallel to line AB such that distance apart is 2.5cm

svetoff [14.1K]

Step-by-step explanation:

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2 years ago

An electric toothbrush costs $56, including a 40% price markup. What was the cost for the store to purchase the electric toothbr

Anna007 [38]

The cost for the store to purchase the electric toothbrush will be;

⇒ $22.40

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The cost of electric toothbrush = $56

And, The price of markup = 40%

Now,

Since, The cost of electric toothbrush = $56

And, The price of markup = 40%

So, The cost for the store to purchase the electric toothbrush is;

= (40% of $56)

= (40/100 x 56)

= $22.4

Thus, The cost for the store to purchase the electric toothbrush will be;

⇒ $22.40

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1 year ago