How many pairs of parallel sides does a trapezoid have?

Ln how many ways 5 person sitted in a round table having 8 seats?

kvasek [131]

Answer: First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

Step-by-step explanation:

First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

5 0

3 years ago

For which shape is 45 degrees the smallest angle of rotational symmetry?

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

You want the external angle to be 45°.

If n = number of sides, the external angles are each 360°/n = 45°

n = 360/45 = 8

The shape is a regular octagon.

4 0

3 years ago

A wire of length 7x is bent into the shape of a square. Express the area A of the square as a function of z.

Nostrana [21]

7×

4+4+4+4

4+4=8

8+8=16

3 0

3 years ago

The weekday rate for a telephone call is a 2.00 flat fee and a 0.25 for each minute .due to a discount the cost of all calls mad

Ilia_Sergeevich [38]

Monday : 2 + 10*0,25 = 2+2,5 = 4,5

Sunday : Monday - 0,3*Monday = 4,5 - 0,3*4,5 = 4,5 - 1,35 = 3,15

It's cheaper for 4.5 - 3.15 = 1,35

6 0

3 years ago

Solve the equation and show all work. 4|x + 1/3| = 20 <br> i'm kind of stuck hhh

34kurt

Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, $|x|=x$ if $x\ge0$ , and $|x|=-x$ if $x$ .