Math  /  Numbers & Operations

QuestionJulie is visiting family in Oregon, USA. A thermometer outside the house reads 4242^{\circ} F. What is tho tempera-ture in degrees Celsius? a. 1.4C\quad-1.4^{\circ} \mathrm{C} c. 5.6C\quad 5.6^{\circ} \mathrm{C} b. 17.6C\quad 17.6^{\circ} \mathrm{C} d. 10.6C\quad 10.6^{\circ} \mathrm{C}

Studdy Solution

STEP 1

1. The temperature conversion formula from Fahrenheit to Celsius is known.
2. The given temperature in Fahrenheit is 42F 42^\circ \text{F} .
3. We need to convert this temperature to degrees Celsius.

STEP 2

1. Recall the conversion formula.
2. Substitute the given Fahrenheit temperature into the formula.
3. Solve for the Celsius temperature.

STEP 3

Recall the conversion formula from Fahrenheit to Celsius:
C=59(F32) C = \frac{5}{9} (F - 32)
where C C is the temperature in degrees Celsius and F F is the temperature in degrees Fahrenheit.

STEP 4

Substitute F=42 F = 42 into the conversion formula:
C=59(4232) C = \frac{5}{9} (42 - 32)

STEP 5

Calculate the temperature in degrees Celsius:
C=59×10 C = \frac{5}{9} \times 10 C=509 C = \frac{50}{9} C5.56 C \approx 5.56
The temperature in degrees Celsius is approximately:
5.6C\boxed{5.6^\circ \text{C}}

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