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aleksley [76]
3 years ago
10

How many ways to sit 10 people around a table?

Mathematics
2 answers:
inessss [21]3 years ago
8 0
<span>362,880. You can solve this by doing 9! (9*8*7*6*5*4*3*2*1). You don't do it by ten because one of the spots has to be fixated.</span>
murzikaleks [220]3 years ago
7 0
<span>10 factorial times to sit 10 people around table.
<span>Factorial is defined as n! = n*(n-1)*(n-2)*...*2*1</span></span>

10*9*8*7*6*5*4*3*2*1=3628800 ways to sit people around table.


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HELPPP!!!Kelsey uses the similarity statement to describe the triangles below.
Ganezh [65]

RT = 8 , RS = 3 AND ST = 5.4


RV = 4 , RU = 1.5 AND UV = 2.7


∴ RT/RV = 8/4 = 2


AND RS/RU = 3/1.5 = 2


AND ST/UV = 5.4/2.7 = 2


∴Δ RTS IS SIMILAR TO ΔRVU


SO, the best statement is:


Each pair of sides corresponds with a common ratio of 2.



8 0
3 years ago
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In a given amount of time, Mary drove twice as far as Lynn. Altogether they drove 60 miles. How far did Mary
klemol [59]

Answer:

40 its c

Step-by-step explanation:

8 0
3 years ago
Sophia has read 75 pages in a 250-page book. What percent of the book has Sophia read?
yaroslaw [1]
If Sophia has read 75 pages and the book is 250
you take  75 and divide it by 250 
your answer will be .3
witch would be 30% as a percentage

hope i helped Dosvedanya
4 0
3 years ago
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Let f(x) = 5x + 4 and g(a) = a2 − 4a + 4 2 . Find the function value. g(−2)
natta225 [31]

Answer:  54

<u>Step-by-step explanation:</u>

replace "a" with "-2" in the g-equation

g(a) = a² - 4a + 42

g(-2) = (-2)² - 4(-2) + 42

        =  4       + 8   + 42

        =  54

7 0
3 years ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
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