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In the metric system, the scale we use to measure temperature is the Celsius scale. On this scale, water boils at 100 degrees and freezes at 0 degrees. When we write 100 degrees measured on the Celsius scale, we use the notation \( 100^{\circ} \mathrm{C} \), which is read "100 degrees Celsius." If we know the temperature in degrees Fahrenheit, we can convert to degrees Celsius by using the formula \[ C=\frac{5(F-32)}{9} \] where \( F \) is the tempreature in degrees Fahrenheit. Use the formula to find the temperature in degrees Celsius for this Fahrenheit temperature: \( 41^{\circ} \mathrm{F}=\square{ }^{\circ} \mathrm{C} \)

Ask by Nunez Chang. in the United States
Feb 20,2025

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Answer

\( 41^{\circ} \mathrm{F} = 5^{\circ} \mathrm{C} \)

Solution

To convert the temperature from degrees Fahrenheit to degrees Celsius using the formula \[ C = \frac{5(F - 32)}{9} \] we will substitute \( F = 41 \) into the formula and solve for \( C \). ### Step 1: Substitute the value of \( F \) Substituting \( F = 41 \): \[ C = \frac{5(41 - 32)}{9} \] ### Step 2: Calculate \( 41 - 32 \) First, we calculate \( 41 - 32 \): \[ 41 - 32 = 9 \] ### Step 3: Substitute back into the equation Now substitute \( 9 \) back into the equation: \[ C = \frac{5(9)}{9} \] ### Step 4: Simplify the equation Now, simplify the equation: \[ C = \frac{45}{9} \] ### Step 5: Calculate the final value Now, calculate \( \frac{45}{9} \): \[ C = 5 \] Thus, the temperature in degrees Celsius for \( 41^{\circ} \mathrm{F} \) is \[ \boxed{5^{\circ} \mathrm{C}} \]

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To convert \( 41^{\circ} \mathrm{F} \) to degrees Celsius using the formula \( C=\frac{5(F-32)}{9} \), we substitute \( F \) with \( 41 \): \[ C=\frac{5(41-32)}{9} = \frac{5(9)}{9} = \frac{45}{9} = 5 \] So, \( 41^{\circ} \mathrm{F} = 5^{\circ} \mathrm{C} \). Did you know that the Celsius scale was named after the Swedish astronomer Anders Celsius, who developed the temperature scale in 1742? The original scale was reversed, with 0 representing the boiling point and 100 the freezing point of water, but it was later adjusted to the values we use now. Talk about a hot topic in history! In the real world, understanding temperature conversions is crucial for anyone involved in cooking, science experiments, or even weather forecasting! For instance, many recipes are calibrated in Celsius in Europe, but if you're in the U.S. adapting those recipes, you'd better have that conversion handy. It makes sure your soufflé rises to the occasion rather than flops!

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