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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q5. (page 114)

AIRPLANES On a model airplane, the scale is 5 centimeters = 2 meters. If the wingspan of the scale model is 28.5 centimeters, what is the actual wingspan?

Short Answer

Expert verified

The size of actual wingspan is $s = 11.4 meters$ .

Step by step solution

01

Step-1. Write down the given scale.

The given scale is:

5 centimetres = 2 meters.

02

Step-2. Evaluate the size of actual wingspan by proportion method.

Let the size of actual wingspan be (s) meters.

Therefore, the proportion can be written as:

$\frac{5}{2} = \frac{28.5}{s} s (5) = 2 (28.5) 5 s = 57 \frac{5 s}{5} = \frac{57}{5} s = 11.4 meters$

03

Step-3. Conclusion from evaluated size of actual wingspan.

The size of actual wingspan is $s = 11.4 meters$ .

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