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2 years ago

Need help please and other questions

Mathematics

1 answer:

earnstyle [38]2 years ago

8 0

Answer: Gear 14 or 14.3

Step-by-step explanation:

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seven people arrive to dinner, but the circular table only seats six. if two seatings such that one is a rotation of the other a

Alenkinab [10]

6 different people chosen from 7 can sit around the circular table in 840 ways.

Given that there are 7 people who have arrived for dinner.

But the circular table only seats 6.

Hence 1 person can be left out.

This can be done in 7 ways, which is a simple case of permutation.

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in this case in a linear or sequential sequence.

Now 6 people will have to sit on the circular table.

Now from the properties of combination we know that , if n people sit around a circular table, then they can sit in n! ways.

Therefore 6 people can sit around a circular table in 6! ways.

6! = 120

Therefore total number of ways = 120 × 7 = 840

Hence 6 different people chosen from 7 can sit around the circular table in 840 ways.

To learn more about table visit:

brainly.com/question/16885576

#SPJ4

5 0

1 year ago

Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.

Jet001 [13]

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

The slope method: If the points are on same line the slopes of two pairs of points will be same
Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

$m=\frac{y_2-y_1}{x_2-x_1}$

$Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}$

$Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}$

$Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}$

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

#LearnwithBrainly

3 0

3 years ago

Solve kx-2=7 for x. A. x=5/k B. x=9k C. x=9-k D. x=9/k

timurjin [86]

Answer:

the answer is D- 9/k

8 0

1 year ago

Read 2 more answers

PLEASE HELP!! NO LINKS!!

dlinn [17]

Answer:

42.1 cm

Step-by-step explanation:

θ = 265°

Radius (r) = 9.1 cm

Arc length of major arc GH = θ/360 × 2πr

Plug in the values into the equation

Length of arc GH = 265/360 × 2 × π × 9.1

= 42.0886149

= 42.1 cm (nearest tenth)

6 0

2 years ago

7 = 3t - 3 - 2+ + 6. <br><br>Justification: ? property

Volgvan

Answer:

7 = 3t + 1

t = 6

....................

7 = 3t - 2t + 3

t = 4

4 0

2 years ago