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netineya [11]
1 year ago
6

in how many different ways can 8 people be seated in a circle if 3 people insist on sitting next to each other?

Mathematics
1 answer:
Sidana [21]1 year ago
7 0

The number of ways can 8 people be seated in a circle if 3 people insist on sitting next to each other is 56 ways.

<h3>How to illustrate the information?</h3>

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

This will be:

= 8! / (8 - 3!) 3!

= 8! / 5! 3!

= 8 × 7 × 6 / 3 × 2

= 5

There can be 56 ways.

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

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Answer:

X=13

Step-by-step explanation:

So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.

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3 years ago
Finding values or<br> k(x) = x - 2<br> h(x) = x2 +1<br> (h + k)(2) =
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Answer:

<h2>(h + k)(2) = 5</h2>

Step-by-step explanation:

(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5

\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5

5 0
3 years ago
What is the quotient when the fraction 1/3 is divided by the whole number 6?
dsp73

Answer:

\frac{1}{18}

Step-by-step explanation:

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3 years ago
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

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3 years ago
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