There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?

Answers

Answer 1
Answer:

Answer:

9120

Step-by-step explanation:

Given ;

Total people =96

It means 48 are male and 48 are females

Handshake can be determined by = Handshake of male+ handshake of female

=48*95+48*95

=4560+4560

=9120


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A kite has a string that is 300 ft long, The flying kite forms a 62°angle with ahorizontal line running parallel to the ground the bottom end of the string
is 6 ft off the ground. How high is the kite? Round your answer to the nearest
tenth

Answers

The height of the kite from the ground is 270 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

                                    B

                              /      |

        300 ft      /            |

                   /                 |

             /                       |

       /                             |

  A_62°___________|C

  |                      

  |   6 feet

E|________________D

Now,

Sin 62° = BC/AB

0.88 = BC/300

BC = 0.88 x 300

BC = 264 ft

Now,

The height of the kite from the ground.

= BC + CD

= 264 + 6

= 270 ft

Thus,

The height of the kite from the ground is 270 feet.

Learn more about trigonometricidentities here:

brainly.com/question/14746686

#SPJ5

Answer:

270.9 ft

Step-by-step explanation:

6 + 300sin(62)

= 270.8842779 ft

A 3-gallon jug of juice costs $22.32. What is the price per pint?

Answers

1 gallon = $7.44
1 gallon = 8 pints
∴ 8 pints = $7.44
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How would you write a penny in a decimal

Answers

You would write a penny in decimal from as 0.1
If you think about it, a penny is always “0.1” when added to an amount. (3 pennies= 0.3) For example, $5.01, you would read this as five dollars and one cent. Another example could be $3.05, which would be read as three dollars and five cents. I hope this helped :)

.01     is how you would write a peny in a decimal

What two facts can you double to find 8x4?

Answers

The two facts which could be doubled to obtain the product of 8 and 4 is (4 and 4)

Two facts of a number doubled can be represented as :

  • 2 × b = c

The value c here is (8×4) = 32

Substituting the values into the expression and solving for b :

2 × b = c

2 × b = 32

Divide through by 2

b = 32 / 2

b = 16

Hence, two facts that can be doubled is (4 × 4)

2(4 × 4) = 2(16) = 32

Therefore, the two facts which could be doubled are (4 and 4)

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the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of the pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?

Answers

Answer:

The volume of the pyramid is V=187\ ft^(3)

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=(1)/(3)BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^(2)

H=6\ ft

substitute

V=(1)/(3)(93.5)(6)=187\ ft^(3)

Answer:The answer is 187 ft to the 3 power

A small rug is 36 inches long. It's width is 2/3 of its length. What is the width of the rug in feet

Answers

Well the rug is 36 inches LONG and the rug's WIDTH is 2/3 that so we need to divide 36 by 3 and we get twelve now multiply that by two (because its two thirds not one third) and we get 24    24 inches is 2 feet
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there is 24 inches which is 2 feet long