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Micah drew a map of his neighborhood. The actual distance from his house to the school is 5.75 miles. What is the actual distance from the library to the park

Micah drew a map of his neighborhood The actual distance from his house to the school is 575 miles What is the actual distance from the library to the park class=

Respuesta :

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Answer:

2.875 mi  

Step-by-step explanation:

A scale factor (SF) is the ratio of two corresponding lengths in similar figures.

SF = actual distance/map distance = 5.75 mi/2 in

or 1 in = 2.875 mi

On the map, the distance from the library to the park is 1 in, so the actual distance is 2.875 mi.

A model's scale ratio is the proportionate ratio of a linear dimension. The actual distance from the library to the park is 2.875 miles.

What is the scale ratio?

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

Given that the actual distance from Micah's house to school is 5.75 miles, while the same distance on the map is represented by 2 inches. Therefore, the scale ratio can be written as,

Scale Ratio = Distance on Map/ Distance in real

                   = 2 inches / 5.75 miles

Now, the distance between the library and the park is given 1 inch on the map. Therefore, using the scale ratio, the actual distance from the library to the park is,

Scale Ratio = Distance on Map/ Distance in real

2inches /5.75 miles = 1 inch/ Distance in real

Distance in real = (5.75 miles×1 inch)/2 inches

Distance in real = 2.875 miles

Hence, the actual distance from the library to the park is 2.875 miles.

Learn more about Scale ratio here:

https://brainly.com/question/13770371

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