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Convert the following temperature readings: i) 37°C to °Fahrenheit ii) 40°C to °Fahrenheit iii) 100°Fahrenheit to centigrade

Mathematics

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Answers

3 parts
c(i)

98.6∘F\text{98.6}^\circ F

c(ii)

104∘F\text{104}^\circ F

c(iii)

37.78∘C\text{37.78}^\circ C

Step-by-step solution

9 steps

Here are the temperature conversions:

Part c(i)· 3 steps

Convert 37∘C37^\circ C to ∘^\circFahrenheit

Vital sign is the procedure performed in order to assess the four cardinals in the body, convert the following temperature readings

  1. Use the formula for converting Celsius to Fahrenheit

    F=C×95+32F = C \times \frac{9}{5} + 32.

    F=37∘C×95+32F = 37^\circ C \times \frac{9}{5} + 32
  2. Perform the multiplication.

    F=37×1.8+32F = 37 \times 1.8 + 32 F=66.6+32F = 66.6 + 32
  3. Perform the addition.

    F=98.6∘FF = 98.6^\circ F

    The converted temperature is 98.6∘F\boxed{\text{98.6}^\circ F}.

Part c(ii)

104∘F\text{104}^\circ F

Convert 40∘C40^\circ C to ∘^\circFahrenheit

  1. Use the formula for converting Celsius to Fahrenheit

    F=C×95+32F = C \times \frac{9}{5} + 32.

    F=40∘C×95+32F = 40^\circ C \times \frac{9}{5} + 32
  2. Perform the multiplication.

    F=40×1.8+32F = 40 \times 1.8 + 32 F=72+32F = 72 + 32
  3. Perform the addition.

    F=104∘FF = 104^\circ F

    The converted temperature is 104∘F\boxed{\text{104}^\circ F}.

Part c(iii)

37.78∘C\text{37.78}^\circ C

100∘100^\circFahrenheit to centigrade

  1. Use the formula for converting Fahrenheit to Celsius

    C=(F−32)×59C = (F - 32) \times \frac{5}{9}.

    C=(100∘F−32)×59C = (100^\circ F - 32) \times \frac{5}{9}
  2. Perform the subtraction.

    C=68×59C = 68 \times \frac{5}{9}
  3. Perform the multiplication and division.

    C=3409C = \frac{340}{9} C≈37.78∘CC \approx 37.78^\circ C

    The converted temperature is 37.78∘C\boxed{\text{37.78}^\circ C}.

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