Question

use the english and metric equivalents to the right, along with dimensional analysis, to convert the given measurement to the unit indicated. 6 m to yd. yd (round to the nearest hundredth). approximate english and metric equivalents: 1 in = 2.54 cm, 1 ft = 30.48 cm, 1 yd = 0.9 m, 1 mi = 1.6 km

Explanation:

Step1: Identify the conversion factor

We know that 1 yd = 0.9 m.

Step2: Set up the conversion equation

Let \(x\) be the number of yards equivalent to 6 m. Using dimensional - analysis, we have the proportion \(\frac{x}{6}=\frac{1}{0.9}\).

Step3: Solve for \(x\)

\(x=\frac{6}{0.9}=\frac{60}{9}=\frac{20}{3}\approx6.67\)

Answer:

6.67