Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 364: 131

Answer

Yes, the partial skeleton height is slightly over 5 feet tall.

Work Step by Step

The length of the femur is given by\[f=0.432h-10.44\]. It is also provided that \[f=16\text{ inches}\]. Now substituting \[f=16\] in the above equation and solve for \[h\]: \[16=0.432h-10.44\] Add \[10.44\] on both sides; \[\begin{align} & 16+10.44=0.432h-10.44+10.44 \\ & 26.44=0.432h \end{align}\] Divide \[0.432\]on both sides. \[\begin{align} & \frac{26.44}{0.432}=\frac{0.432h}{0.432} \\ & 61.20=h \end{align}\] So,\[h=61.20\text{ inches}\]. As it is provided that the skeleton found is \[5\]feet tall. Since, \[\begin{align} & 1\text{ feet}=12\text{ inches} \\ & \Rightarrow 5\text{ feet}=12\times 5 \\ & =60\text{ inches} \end{align}\] which is approximately equal to, \[61.20\ \text{inches}\]. Yes, the partial skeleton height is slightly over 5 feet tall.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.