contestada

For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric

temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric

temperature in degrees Fahrenheit,a is the altitude, in feet, at which the atmospheric temperature is

measured and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the

atmospheric temperature is -30.5 °F and the ground temperature is 50 °F, what is the altitude?

The equation for a is a =

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then

feet

a =

Respuesta :

CintiaSalazar

Answer:

The equation for a is [tex]a=-\frac{2000}{7}*(t-g)[/tex]

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
  • g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

[tex]a=\frac{t-g}{-0.0035}[/tex]

[tex]a=-\frac{2000}{7}*(t-g)[/tex]

The equation for a is [tex]a=-\frac{2000}{7}*(t-g)[/tex]

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

[tex]a=-\frac{2000}{7}*(-305-50)[/tex]

[tex]a=-\frac{2000}{7}*(-355)[/tex]

a= 101,428.57

The altitute is 101,428.57 feet

Otras preguntas