QuestionConvert $106^{\circ} \mathrm{F}$ to Celsius with two significant figures. What is the temperature in Celsius?

Studdy Solution

STEP 1

Assumptions1. The person's temperature is $106^{\circ} \mathrm{}$ . We are converting this temperature from Fahrenheit to Celsius3. The formula for converting Fahrenheit to Celsius is $C = \frac{5}{9}( -32)$ where C is the temperature in Celsius and F is the temperature in Fahrenheit.

STEP 2

First, we need to substitute the given Fahrenheit temperature into the conversion formula.
$C = \frac{5}{9}(106^{\circ} \mathrm{} -32)$

STEP 3

Next, perform the subtraction inside the parentheses.
$C = \frac{5}{9}(74)$

STEP 4

Now, perform the multiplication to find the temperature in Celsius.
$C = \frac{}{9} \times74$

STEP 5

Calculate the Celsius temperature.
$C =41.11^{\circ} \mathrm{C}$

STEP 6

Finally, we need to round the Celsius temperature to two significant figures.
$C =41^{\circ} \mathrm{C}$ The person's temperature is $41^{\circ} \mathrm{C}$ .

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QuestionConvert $106^{\circ} \mathrm{F}$ to Celsius with two significant figures. What is the temperature in Celsius?

Studdy Solution

STEP 1

Assumptions1. The person's temperature is $106^{\circ} \mathrm{}$ . We are converting this temperature from Fahrenheit to Celsius3. The formula for converting Fahrenheit to Celsius is $C = \frac{5}{9}( -32)$ where C is the temperature in Celsius and F is the temperature in Fahrenheit.

STEP 2

First, we need to substitute the given Fahrenheit temperature into the conversion formula.
$C = \frac{5}{9}(106^{\circ} \mathrm{} -32)$

STEP 3

Next, perform the subtraction inside the parentheses.
$C = \frac{5}{9}(74)$

STEP 4

Now, perform the multiplication to find the temperature in Celsius.
$C = \frac{}{9} \times74$

STEP 5

Calculate the Celsius temperature.
$C =41.11^{\circ} \mathrm{C}$

STEP 6

Finally, we need to round the Celsius temperature to two significant figures.
$C =41^{\circ} \mathrm{C}$ The person's temperature is $41^{\circ} \mathrm{C}$ .

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QuestionConvert 106∘F106^{\circ} \mathrm{F}106∘F to Celsius with two significant figures. What is the temperature in Celsius?

Studdy Solution

STEP 1

STEP 2

First, we need to substitute the given Fahrenheit temperature into the conversion formula.C=59(106∘−32)C = \frac{5}{9}(106^{\circ} \mathrm{} -32)C=95​(106∘−32)

STEP 3

Next, perform the subtraction inside the parentheses.C=59(74)C = \frac{5}{9}(74)C=95​(74)

STEP 4

Now, perform the multiplication to find the temperature in Celsius.C=9×74C = \frac{}{9} \times74C=9​×74

STEP 5

Calculate the Celsius temperature.C=41.11∘CC =41.11^{\circ} \mathrm{C}C=41.11∘C

STEP 6

Finally, we need to round the Celsius temperature to two significant figures.C=41∘CC =41^{\circ} \mathrm{C}C=41∘CThe person's temperature is 41∘C41^{\circ} \mathrm{C}41∘C.

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QuestionConvert $106^{\circ} \mathrm{F}$ to Celsius with two significant figures. What is the temperature in Celsius?

First, we need to substitute the given Fahrenheit temperature into the conversion formula.
$C = \frac{5}{9}(106^{\circ} \mathrm{} -32)$

Next, perform the subtraction inside the parentheses.
$C = \frac{5}{9}(74)$

Now, perform the multiplication to find the temperature in Celsius.
$C = \frac{}{9} \times74$

Calculate the Celsius temperature.
$C =41.11^{\circ} \mathrm{C}$

Finally, we need to round the Celsius temperature to two significant figures.
$C =41^{\circ} \mathrm{C}$ The person's temperature is $41^{\circ} \mathrm{C}$ .