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QuestionConvert 185∘C185^{\circ} \mathrm{C} to Fahrenheit with three significant figures.

Studdy Solution

STEP 1

Assumptions1. The given temperature is 185∘C185^{\circ} \mathrm{C} . We are converting from Celsius to Fahrenheit3. We are using the formula =C×95+32 = C \times \frac{9}{5} +32, where $$ is the temperature in Fahrenheit and $C$ is the temperature in Celsius4. We need to express the answer using three significant figures

STEP 2

First, we need to use the formula for converting Celsius to Fahrenheit.
=C×95+32 = C \times \frac{9}{5} +32

STEP 3

Now, plug in the given value for the Celsius temperature to calculate the Fahrenheit temperature.
=185∘C×95+32 =185^{\circ} \mathrm{C} \times \frac{9}{5} +32

STEP 4

Perform the multiplication first, according to the order of operations (PEMDAS/BODMAS).
=333+32 =333 +32

STEP 5

Add the results to find the temperature in Fahrenheit.
=333+32=365 =333 +32 =365

STEP 6

Now, we need to express the answer using three significant figures. Since the number365 has three digits, all of which are significant, we don't need to do anything further. The temperature in Fahrenheit is 365∘365^{\circ} \mathrm{}.
The temperature 185∘C185^{\circ} \mathrm{C} is equal to 365∘365^{\circ} \mathrm{} when expressed using three significant figures.

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