91Ó°ÊÓ

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated. English and Metric Equivalents $$ \begin{aligned} &1 \mathrm{in} .=2.54 \mathrm{~cm} \\ &1 \mathrm{ft}=30.48 \mathrm{~cm} \\ &1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\ &1 \mathrm{mi} \approx 1.6 \mathrm{~km} \end{aligned} $$ \(776 \mathrm{~km}\) to mi

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated. English and Metric Equivalents $$ \begin{aligned} &1 \mathrm{in} .=2.54 \mathrm{~cm} \\ &1 \mathrm{ft}=30.48 \mathrm{~cm} \\ &1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\ &1 \mathrm{mi} \approx 1.6 \mathrm{~km} \end{aligned} $$ \(1.2\) dam to in.

In Exercises 39-50, convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(68^{\circ} \mathrm{F}\)

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(86^{\circ} \mathrm{F}\)

Use the following English and metric equivalents, along with dimensional analysis, to convert the given measurement to the unit indicated. English and Metric Equivalents $$ \begin{aligned} &1 \mathrm{in} .=2.54 \mathrm{~cm} \\ &1 \mathrm{ft}=30.48 \mathrm{~cm} \\ &1 \mathrm{yd} \approx 0.9 \mathrm{~m} \\ &1 \mathrm{mi} \approx 1.6 \mathrm{~km} \end{aligned} $$ \(5 \mathrm{~m}\) to \(\mathrm{ft}\)

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(90^{\circ} \mathrm{F}\)

Convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(350^{\circ} \mathrm{F}\)

Use the unit fractions $$ \frac{36 \mathrm{in} .}{1 \mathrm{yd}} \text { and } \frac{2.54 \mathrm{~cm}}{1 \mathrm{in} .} \text {. } $$ Convert 8 yd to \(\mathrm{cm}\).

Solve the formula used to convert from Celsius to Fahrenheit for \(C\) and derive the other temperature conversion formula.

In Exercises 53-54, find the population density, to the nearest tenth, for each state. Which state has the greater population density? How many more people per square mile inhabit the state with the greater density than inhabit the state with the lesser density? Illinois population: \(12,869,257\) area: \(57,914 \mathrm{mi}^{2}\) Ohio population: \(11,544,951\) area: \(44,826 \mathrm{mi}^{2}\)