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2 years ago

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The average temperature of the atmosphere in the world is approximated as a function of altitude by the relation Tatm=288.15−6.5

z where Tatm is the temperature of the atmosphere in K, and z is the altitude in km with z = 0 at sea level. Determine the average temperature of the atmosphere outside an airplane that is cruising at an altitude of 12600 m. The average temperature of the atmosphere outside an airplane is

1 answer:

Yuri [45]2 years ago

3 0

Answer:

The average temperature of the atmosphere outside the airplane is $206.25\,K$ .

Step-by-step explanation:

The average temperature of the atmosphere outside an airplane flying at an altitude of 12600 meters is computed by evaluating the linear function:

$T (12.6\,km) = 288.15 - 6.5\cdot (12.6\,km)$

$T (12.6\,km) = 206.25\,K$

The average temperature of the atmosphere outside the airplane is $206.25\,K$ .

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otez555 [7]

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Step-by-step explanation using elimination:

Solve the following system:

{x - 2 y = -1 | (equation 1)

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{2 x + y = 4 | (equation 1)

x - 2 y = -1 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y = 4 | (equation 1)

0 x - (5 y)/2 = -3 | (equation 2)

Multiply equation 2 by -2:

{2 x + y = 4 | (equation 1)

0 x+5 y = 6 | (equation 2)

Divide equation 2 by 5:

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0 x+y = 6/5 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 14/5 | (equation 1)

0 x+y = 6/5 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 7/5 | (equation 1)

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Collect results:

Answer: {x = 7/5 , y = 6/5

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