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Semmy [17]
3 years ago
6

Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking

off, the run time of an airplane on the runway is 33 seconds. Planes are on average waiting 6 minutes and 48 seconds for take-off. On average there are 16 planes taking off per hour. How many planes are either on the runway or waiting to take off? (Round your answer to 2 decimal places.)
Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

1.96 planes

Step-by-step explanation:

The computation of the number of planes is shown below:

As we know that

System Inventory  is

= Flow rate in the system × Throughput time

where,

Flow rate is

= Frequency of taken off

= 16 planes ÷ hour

= 16 ÷ 60 Planes per minute

Throughput time  is

=  runway waiting time + runway Run time

= 33 seconds +  6 minutes × 60 seconds + 48 seconds

= 441  seconds

= 441  per 60 seconds

Therefore the number of planes is

= \frac{441}{60} \times \frac{16}{60}

= 1.96 planes

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1 Katherine can run the perimeter of Kiker Park in
Vlad1618 [11]

The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

According to the statement

We have to find that the comparison of the running time of the parker.

So, For this purpose, we know that the

Perimeter is the distance around the edge of a shape.

From the given information:

Katherine can run the perimeter of Kiker Park in 5.0 minutes and It takes Marin 1.45 minutes longer.

Marin takes 6.45 minutes and the Parker can run the perimeter of the park in 6.50 minutes.

Then from the statement it is clear that the

Time taken by Katherine = 5.0 minutes

Time taken by Parker = 6.50 minutes

Time taken by Marin = 5.0 minutes + 1.45 minutes

Time taken by Marin = 6.45 minutes.

from the timing we can say that the Marin's running time to Parker's running time is compared and the Parker takes 5 seconds more than the Marin.

So, The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

Learn more about Perimeter here

brainly.com/question/19819849

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5 0
1 year ago
Find the smallest positive integer value of n for which 225n is a multiple of 540.​
krek1111 [17]

Answer:

mark me as brainliest and follow and like my answer

Step-by-step explanation:

225n=540

n=2.4

5 0
2 years ago
Round 66.3899872389 to the nearest thousandth
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Answer:

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Step-by-step explanation:

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What is the solution of the equation sqrt 2x+13-5=x?
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6 0
3 years ago
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
2 years ago
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