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William is building a scale model of a Boeing 747-400 aircraft. The wingspan of the model
is approximately 8 feet inches. If the scale
factor of the model is approximately 1:24, what is the actual wingspan of a Boeing 747-400 aircraft?

Respuesta :

znk

Answer:

212 ft  

Step-by-step explanation:

I am assuming that the wingspan of William's model is 8 ft 10 in.

If the scale is 1:24, then  

model/real = 1/24

Multiply each side by real:     model = real/24

Multiply each side by 24:           real = 24 × model

                                                    real = 24 × (8 ft 10 in)

Convert inches to feet:              real = 24 × (8 ft + ¹⁰/₁₂ ft)

Distribute the 24:                        real = 24 × 8 ft + 24 × ¹⁰/₁₂ ft

                                                    real = 192 ft + 20 ft

                                                    real = 212 ft

The actual wingspan of a Boeing 747-400 aircraft is approximately 212 ft.

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