145k views
3 votes
A thermometer has its theme parks in millimetre instead of degree celsius the lower fixed point is 180 mm calculate the temperature in degrees Celsius when the thermometer reads 45mm

1 Answer

6 votes

Complete question is;

A thermometer has its stem marked in millimeter instead of degree Celsius. The lower fixed point is 30mm and the upper is 180mm. Calculate the temperature in degree celsius when the thermometer reads 45mm.

Answer:

Temperature = 10 °C

Step-by-step explanation:

We are given;

Lower fixed point; LFP = 30mm

Upper fixed point for another scale;UFP_a = 45 mm

Upper fixed point for celsius scale;UPF_c = 180 mm

To find the temperature in degree celsius when the thermometer reads 45mm, we will use the formula;

θ = (x/y) • 100.

where;

x = UFP -LFP -another scale

y = UFP - LFP for celsius scale.

θ = temperature

Thus, plugging in the relevant values, we have;

θ = [(45-30)/(180-30)] x 100

θ = 10 °C