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Mitchell made a scale model of the Empire State Building the building has an actual height of 381 meters Mitchell's model used a scale in which one centimeter represents 50 m what is the height in centimeters of Mitchell's model

Respuesta :

frika

Answer:

7.62 cm

Step-by-step explanation:

Mitchell made a scale model of the Empire State Building.

Actual height = 381 m

Scale = 1 cm to 50 m

Model height = x cm

Write a proportion:

[tex]\dfrac{381}{x}=\dfrac{50}{1}[/tex]

Cross multiply:

[tex]50x=381\\ \\x=\dfrac{381}{50}=\dfrac{381\cdot 2}{50\cdot 2}=\dfrac{762}{100}=7.62\ cm[/tex]