3 years ago

In a room with 10 people, how many different handshakes are possible?

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

45 handshakes are possible

Tomtit [17]3 years ago

7 0

Answer:

45 handshake

Step-by-step explanation:

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Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

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3 years ago

A rectangular prism has a length of 5 meters, a width of 634 meters, and a height of 312 meters.

olga_2 [115]

The answer is 405,076 meters.

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4 years ago

86,678 rounded the nearest ten thousand

Sunny_sXe [5.5K]

90,000 is the answer. have a great day!!

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38 years ago George was 14, how old is he now

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You need to add 38 and 14 together to get answer of 52 years old.

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What is the major of EG?

Black_prince [1.1K]

The answer go this is HG

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