Respuesta :

The distance between New York city and Los Angeles is about 2541 miles

Further explanation

Some units of length and its conversion that need to be recalled are:

[tex]1 ~ foot = 30.48 ~ cm[/tex]

[tex]1 ~ inch = 2.54 ~ cm[/tex]

[tex]1 ~ foot = 12 ~ inches[/tex]

[tex]1 ~ mile = 1609.34 ~ metres[/tex]

[tex]1 ~ yard = 0,9144 ~ metres[/tex]

[tex]1 ~\mu m = 1 \times 10^{-6} ~ m[/tex]

[tex]1 ~ \text{US liquid gallon} = 3.78541 ~ litres[/tex]

Some units of time and its conversion that need to be recalled are:

[tex]1 ~ month = 30 ~ days[/tex]

[tex]1 ~ day = 24 ~ hours[/tex]

[tex]1 ~ hour = 60 ~ minutes[/tex]

[tex]1 ~ minute = 60 ~ seconds[/tex]

Let us now tackle the problem !

Given:

distance = 4090 kilometers

Unknown:

distance = ? ( in miles )

Solution:

This problem is about conversion unit of length.

[tex]1 ~ mile = 1609.34 ~ metres[/tex]

[tex]1 ~ mile = 1.60934 ~ kilometres[/tex]

[tex]1 ~ kilometre = \frac{1}{1.60934} ~ miles[/tex]

[tex]4090 ~ kilometres = \frac{1}{1.60934} \times 4090 ~ miles[/tex]

[tex]4090 ~ kilometres \approx \boxed{2541 ~ miles}[/tex]

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Unit of Length

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Length , Microscope , Gallons , Month , Liters , Hour , Time

Ver imagen johanrusli

Based on the conversion factor of kilometers to miles, the distance between New York City and Los Angeles is 2,541.41 miles.

The distance between these two cities is 4,090 km.

A kilometer is about 0.621371 miles.

This distance in miles is therefore:

= Distance in kilometers x Conversion factor

= 4,090 x 0.621371

= 2,541.40739

= 2,541.41 miles

In conclusion, the distance is 2,541.41 miles.

Find out more at https://brainly.com/question/20857946.

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