Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 335: 78

Answer

The walking speed of dinosaur to the nearest tenth in radical form is \[13.9\] feet per second.

Work Step by Step

The walking speed of dinosaur is given by \[4\sqrt{2x}\] feet per seconds. Now, in this case the length of leg of dinosaur is 6 feet. So, put \[x=6\] to calculate the speed of dinosaur: \[\begin{align} & \text{speed}=4\sqrt{2\times 6} \\ & =4\sqrt{\overline{2\times 2}\times 3} \\ & =4\times 2\sqrt{3} \\ & =8\sqrt{3} \end{align}\] Convert speed to the nearest tenth: \[\begin{align} & \text{speed}=8\sqrt{3} \\ & =8\times 1.732 \\ & =13.856 \\ & \approx 13.9 \end{align}\] Hence, the walking speed of dinosaur to the nearest tenth in radical form is \[13.9\] feet per second.
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