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MA_775_DIABLO [31]
3 years ago
10

How many lines of symmetry are found in a regular polygon with 40

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0
This is assuming that 40 refers to sides.

Since 40 is an even number, you can have lines of symmetry going from any vertex to the opposite one. Since there can be two identical lines, we just cut in half 40 to 20 so there are no repeats. We can do this for halfway between two vertices as well, so that's another 20. Twenty  + 20 = 40 and thus, your answer is 40 lines of symmetry.
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Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be
aliina [53]

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

<h3>How to determine the number of arrangements?</h3>

The given parameters are:

  • Total books, n = 10
  • Books to arrange, r = 4

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

brainly.com/question/12468032

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2 years ago
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Answer:

Sure whats the number

Step-by-step explanation:

5 0
3 years ago
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The graph below shows four straight lines, P, Q, R, and S:
Zinaida [17]
The answer is S ( that's what I got when I put it into a graphing calculator)
7 0
4 years ago
Questions 13 and 17 if anybody knows ?
jenyasd209 [6]
13) If T(n) = 2n-7, what is the 5th term?
n is the number of the term you are looking for. In this instance, n is equal to 5.

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17) inequality based on the line number.
Since the line does not extend in any direction outward. It means that the range should be within -3 and 3. 
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8 0
4 years ago
At a competition with 7 runners, medals are awarded for first, second, and
il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and  third places. Each of the 3 medals is different.

To find : How many ways are there to  award the medals?        

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is ^7P_3

We know, ^nP_r=\frac{n!}{(n-r)!}

Substitute the values,

^7P_3=\frac{7!}{(7-3)!}

^7P_3=\frac{7\times 6\times 5\times 4!}{4!}

^7P_3=210

Therefore, Option A is correct.

Permutation; number of ways = 210

6 0
3 years ago
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