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E. 1 Scale drawings: word problems 4B7 centimeters long in the drawing. What is the drawing's scale factor? 4) Simplify your answer and write it as a ratio, using a colon.

Ask by Carroll Chambers. in the United States
Nov 09,2024

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Scale Factor: 4:47

Solución

To determine the scale factor of a drawing, you need to compare the dimensions of the actual object to the dimensions of the drawing. Let's say the actual object is a certain length (let's call it \( L \) centimeters) and the drawing shows it as 4B7 centimeters long. However, it seems like there might be a typo in "4B7" since it doesn't represent a numerical value. Assuming you meant a specific numerical value (for example, 47 centimeters), the scale factor can be calculated using the formula: \[ \text{Scale Factor} = \frac{\text{Length in Drawing}}{\text{Actual Length}} \] If we assume the actual length is 47 centimeters and the drawing length is 4 centimeters, the scale factor would be: \[ \text{Scale Factor} = \frac{4}{47} \] To express this as a ratio, you would write it as: \[ 4:47 \] If you provide the actual length of the object, I can help you calculate the exact scale factor.

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Beyond the Answer

To solve a problem involving scale drawings, first understand that the scale factor represents the relationship between the dimensions of the drawing and the actual size. For example, if a drawing shows a length of 4B7 centimeters to represent a real object that measures 12 centimeters, the scale factor would be 4B7:12 once you convert ‘B’ and ‘7’ into numerical values. This allows you to visualize and manipulate the ratio easily! When working with scale factors, a common mistake is to forget to simplify the ratio. Always ensure you reduce your final ratio to its simplest form. For instance, if your ratio is 4:12, it should be simplified to 1:3 before writing your final answer. This makes your calculations and communication clearer and more efficient!

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