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3 years ago

20 people show up to a post-PSTAT 120A party. If everyone shakes hands with everyone else, how many handshakes take place

Mathematics

1 answer:

Ierofanga [76]3 years ago

7 0

Answer: There are 190 handshakes takes place.

Step-by-step explanation:

Since we have given that

Number of people in the party = 20

Here, n = 20

So, the number of handshakes would be

$\dfrac{n(n-1)}{2}\\\\=\dfrac{20(20-1)}{2}\\\\=\dfrac{20\times 19}{2}\\\\=10\times 19\\\\=190$

Hence, there are 190 handshakes takes place.

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Darin skateboarded to the west at 8 m/s. In 7 seconds, he slowed down to 3

MakcuM [25]

Answer:

C) -0.71m/s²

Step-by-step explanation:

V = V0 + at

V = final veloctiy

V0 = Initial velocity

a = acceleration

t = time

3 = 9 + a7

-5 = a7

$-\frac{5}{7}$ = a

a ≅ -0,71

3 0

3 years ago

How can i know if the triangles are congruent ?

MrRissso [65]

If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side

7 0

3 years ago

Read 2 more answers

21. What is the value of x if 5:(3x+2) = 7:(5x-2).<br>A. 6<br>B. 5<br>C.7.

KatRina [158]

Answer:

5/(3x+2) = 7/(5x-2)

<=>5*(5x-2) = 7*(3x+2) (x is not equal to -3/2 or 2/5)

<=> 25x -10 = 21x +14 (x is not equal to -3/2 or 2/5)

<=> 4x = 24 (x is not equal to -3/2 or 2/5)

<=> x = 6 (valid)

6 0

3 years ago

Any one can help me please please I need help please each one 3 step explanation

Art [367]

Answer:

a) Area of wall to be painted = 114 sq ft

b) Number of cans required = 2×5 = 10

c) Total cost of paint = $338.43

Step-by-step explanation:

We are asked to find the area of wall that needs to be painted.

we need to subtract the area of window from the area of wall.

We know that area of a rectangular shape is given by

Area = Width×Length

Area of whole wall = 8×15 = 120 sq ft

Area of window = 2×3 = 6 sq ft

Area of wall to be painted = 120 - 6 = 114 sq ft

1 can of paint will cover 25 sq ft of area.

So to cover the area of wall to be painted,

114/25 = 4.56

since number of cans cannot be in fraction so we would need 5 cans

Since two coats of paints are needed so

Number of cans required = 2×5 = 10

1 can of paint costs $29.95

We have total 10 cans

$29.95×10 = $299.5

There is also a 13% tax so the total cost is

$299.5×0.13 = $38.93

Total cost of paint = $299.5 + $38.93

Total cost of paint = $338.43

3 0

3 years ago

In the statement, “Weight is a function of height,” which variable is the input and which is the output?

3241004551 [841]

Answer:

A. Height is input, Weight is output

Step-by-step explanation:

We are given the statement,

"Weight is a function of height".

As we know,

<em>In a function of the form $y=f(x)$ , the input variable is 'x' and the output variable is 'y'.</em>

If we write the given statement in the form $y=f(x)$ , we get,

$Weight=f(Height)$

This means that the input variable is 'Height' and the output variable is 'Weight'.

Hence, option A is correct.

5 0

3 years ago