Questions: If a patient in the hospital is running a temperature of 39.5°C, what is this in degrees Fahrenheit? 99°F 101.3 °F 102.4°F 103.1°F 104°F

If a patient in the hospital is running a temperature of 39.5°C, what is this in degrees Fahrenheit? 99°F 101.3 °F 102.4°F 103.1°F 104°F
Transcript text: If a patient in the hospital is running a temperature of $39.5^{\circ} \mathrm{C}$, what is this in degrees Fahrenheit? $99^{\circ} \mathrm{F}$ O101.3 ${ }^{\circ} \mathrm{F}$ $102.4^{\circ} \mathrm{F}$ $0103.1^{\circ} \mathrm{F}$ $0104^{\circ} \mathrm{F}$
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Solution

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Solution Steps

Step 1: Identify the Conversion Formula

To convert a temperature from Celsius to Fahrenheit, we use the formula: \[ F = \frac{9}{5}C + 32 \]

Step 2: Substitute the Given Temperature

The given temperature is \(39.5^{\circ} \mathrm{C}\). Substitute this value into the formula: \[ F = \frac{9}{5} \times 39.5 + 32 \]

Step 3: Perform the Multiplication

First, calculate \(\frac{9}{5} \times 39.5\): \[ \frac{9}{5} \times 39.5 = 7.2 \times 39.5 = 71.1 \]

Step 4: Add 32 to the Result

Now, add 32 to the result from the previous step: \[ 71.1 + 32 = 103.1 \]

Final Answer

The temperature in degrees Fahrenheit is: \[ \boxed{103.1^{\circ} \mathrm{F}} \]

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