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3 years ago

Using the Pythagorean Theorem, find the distance between the points.

Mathematics

1 answer:

Paha777 [63]3 years ago

4 0

Answer:

(5,7,8.6)

Step-by-step explanation:

Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

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Jill collected a total of 19 gallons of honey.if she distributes all of the honey equally between 9 jars,how much honey will be

sergeinik [125]

Answer:

2.1 gaallons of honey

Step-by-step explanation:

If you have to istrubute things then its obvous you need to divide something. To get 19 equally into 9 containers you divide 19 by 9 an get 2.1

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3 years ago

Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribu

Veseljchak [2.6K]

Answer:

The average number of customers waiting in line behind the person being served is 0.7619.

Step-by-step explanation:

In queueing problem, an M/M/1 queue model is an arrangement with a single queue, where arrivals at the queue are approximated by a Poisson distribution with mean λ and the service times follows an exponential distribution with mean μ.

The mean number of arrivals in this system is given by:

$\text{Average number of customers}=\frac{\rho}{1-\rho}$

Here the variable ρ is defined as:

$\rho=\frac{\lambda}{\mu}$

From the average number of arrivals in the system, we can calculate the average number of arrivals in the queue by subtracting the average number of arrivals in service.

That is,

$\text{Average number of customers in the queue}=\frac{\rho}{1-\rho}-\rho =\frac{\rho^{2}}{1-\rho}$

The information provided is:

The average number of arrivals of customers is, λ = 4.

The average service rate of a single server is, μ = 7.

Compute the average number of customers waiting in line behind the person being served as follows:

$\text{Average number of customers in the queue}=\frac{\rho}{1-\rho}-\rho =\frac{\rho^{2}}{1-\rho}$

$=\frac{(4/7)^{2}}{1-(4/7)}\\\\=\frac{(4/7)^{2}}{(7-4)/7}\\\\ =\frac{16}{49}\times \frac{7}{3}\\\\=0.7619$

Thus, the average number of customers waiting in line behind the person being served is 0.7619.

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4 years ago

A trip to Hawaii is $1,500. If the travel agency runs a sale and the trip is now priced at $600.00, by what percent did the trav

Ratling [72]

Answer:

60%

Step-by-step explanation:

You first subtract 600 from 1500 to get $900 for the difference. The original price was $1,500, and you divide 900 by 1500 to get 3/5 or 60% markdown.

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4 years ago

How do you triple rhe surface area of a cone

Gelneren [198K]

Increase the height so that the slant height triples.

For example:
Say that lateral height is 2 and the radius is 1. The lateral surface area would be 6.28

if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area

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3 years ago

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pentagon [3]

Answer:

sas

Step-by-step explanation:

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3 years ago