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LekaFEV [45]
3 years ago
6

You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in you

r vehicle. How many different groups of 7 people can you drive?
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0
18 choose 7 
=C(18,7)
=18!/(7!(18-7)!)
=31824
OR
18 choices for first passenger,
17 choices for second passenger,
....
12 choices for 7th passenger,
so total = 18*17*16...12
but there are 7! ways to order the 7 passengers, so
number of groups
=18*17*16...12/7!
=31824   as well
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The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation
Alona [7]

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

5 0
3 years ago
Read 2 more answers
What is the relationship between Za and Zb? D А E a 6 С B Choose 1 answer: A Vertical angles ® Complementary angles B C Suppleme
Free_Kalibri [48]

Answer:

D. none of the above.

Step-by-step explanation:

   

7 0
2 years ago
A cruise ship is traveling south going approximately 22 mph when it hits the Gulf Stream flowing east at 4 mph. Which expression
alexira [117]
<h2>Hello!</h2>

The answer is:

The correct option is

a) Resultant=\sqrt{22^{2} +4^{2} }

<h2>Why?</h2>

Since a right triangle is formed, we can calculate the resultant force using the Pythagorean Theorem which states that:

c=\sqrt{a^{2}+b^{2}}

Where,

c, is the hypothenuse.

a, is one triangle leg.

b, is the other triangle leg.

So, we are given the information:

a=22mph

b=4mph

So, calculating the resultant force (hypothenuse), we have:

Resultant=\sqrt{22^{2} +4^{2} }

Hence, the expression that would find the result velocity is:

a) [tex]Resultant=\sqrt{22^{2} +4^{2} }[/tex]

Have a nice day!

4 0
3 years ago
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The
Nikolay [14]

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of 77^{\circ}  the ground.

<h3>What is the sin ratio?</h3>

sin(\theta)=\frac{perpendicular \ side}{hypotenous}

Therefore we get,

\implies\frac{22}{H} =sin(77)

\implies H=22/sin(77)

\implies 22.59ft\\\\=23ft

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

#SPJ1

7 0
2 years ago
Please tell me what this is
Harlamova29_29 [7]

Answer:7.2+z=10

Step-by-step explanation:if I am right you just have to do the equacion

4 0
2 years ago
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