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3 years ago

How do you describe a sequence of rigid motions?

Mathematics

1 answer:

Burka [1]3 years ago

8 0

See the explanation

<h2>Explanation:</h2>

Rigid motions are transformations we perform on a figure in order to move it without changing the size or shape of it. They are also called <em>congruence transformations </em>because we can map one figure onto other figure so they will maintain every condition in order to be congruent.

Rigid motions are the following:

Reflections: Here we reflect the figure across a line
Translations: Here we move the figure either horizontally or vertically
Rotations: Here we turn the figure either counterclockwise or clockwise.

So sequence of rigid motions could be any combination we get from the mentioned transformations. For instance:

Perform the transformation of triangle ΔABC following this sequence:

1. Translate the figure 2 units right and 4 units down

2. Reflect the figure across the x-axis

3. Rotate the figure 90 degrees in clockwise direction

<h2> Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

#LearnWithBrainly

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2 years ago

Let us analyze the following setting. You are given a circle of unit circumference. You pickkpoints on the circle independently

garik1379 [7]

Answer:

We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

$\small \sum_{i = 1}^{k} L_i= 2\pi$

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.

we get :

$\small \sum_{i = 1}^{k} C_i.l = 2\pi$

where C(i) is a constant coefficient obviously between 0 and 1.

$\small \sum_{i = 1}^{k} C_i= 2\pi/l$

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]

So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.

We already know the sum so it is easy to compute the average :

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2 years ago

How many yards off the line of scrimmage does the pass rusher need to line up?

stich3 [128]

The pass rusher, which is typically line up on the line of scrimmage.

Have a Great Day :)

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2 years ago

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Korvikt [17]

Question is confusing but 12/15 divides to 4/5 or rounds to 1

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3 years ago

Read 2 more answers

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musickatia [10]

Answer:

Step-by-step explanation:

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3 years ago