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Lunna [17]
3 years ago
10

Suppose you are organizing a business meeting and are in charge of facilitating the introductions. How would you arrange a group

of n people so each person can shake hands with every other person? How might you organize this process? How many times will each person shake hands with someone else? How many handshakes will occur? How must your method vary according to wether or not n is even or odd?
Mathematics
1 answer:
Effectus [21]3 years ago
3 0
Hi,
This is using 'n', so there would be a lot of possibilities, but I would form a circle with the group of people, then each person would shake the person to their right, and then to their right, one time. This method would not vary because a circle can contain even or odd number of people.

Hope this helps! 
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7th grade math help me pleaseeee
Eduardwww [97]

Answer:

4x + 5y = 20

Step-by-step explanation:

4x + 5y = 20

5y = -4x + 20      (Subtract 4x to isolate 5y. Put the 4x in front of the 20)

y = -\frac{4}{5}x + 4         (Divide all by 5 to isolate y)

And then it's done and in slope-intercept form

-1< -\frac{4}{5} < 0        or -\frac{4}{5} is greater than -1 but less than 0

I hope this helped :)

3 0
3 years ago
What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square?−816−44?
Artyom0805 [142]
Do you see -8x?

Take half of -8 and square it.

So, (-8)/2 = -4.

(-4)^2 = 16

Now add 16 to both sides.
6 0
3 years ago
Read 2 more answers
What are the solutions to the equation?
nalin [4]

Solutions are 3 and - 5.

Step-by-step explanation:

Step 1:

Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.

⇒ 3x² + 6x - 45 = 0

⇒ x² + 2x - 15 = 0

⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)

⇒ x (x + 5) - 3(x + 5) = 0

⇒ (x - 3)(x + 5) = 0

⇒ x = 3, - 5

7 0
3 years ago
The same-side Interior angles of a rectangle are congruent and supplementary
Nookie1986 [14]

Answer:

always true

Step-by-step explanation:

because it's same side inter angles

6 0
3 years ago
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gogolik [260]

So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.

Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:

tan(theta)=\frac{opposite}{adjacent}

So let's plug this in:

tan(theta)=\frac{15}{21.4}

theta=tan^{-1}(\frac{15}{21.4})

theta=1.18499

However this is in radians - to convert to degrees, we must use the formula:

Degrees=\frac{180}{\pi}  *radians

So then let's solve for degrees:

Degrees=\frac{180}{\pi}  *1.18499

Degrees=\frac{213.2982}{\pi}

Degrees=67.89

So now we know that the angle of elevation is 67.89°.

7 0
3 years ago
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