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Vedmedyk [2.9K]
3 years ago
10

Find x to the nearest tenth

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
<h3>Answer:  x = 14.3</h3>

=========================================================

Explanation:

We can find x using the law of sines, but first we need to find the missing angle. Let's call that y for now. The three angles of any triangle add to 180, so,

23+146+y = 180

169+y = 180

y = 180-169

y = 11

The missing interior angle is 11 degrees.

-----------

Now we can apply the law of sines.

sin(23)/x = sin(11)/7

7*sin(23) = x*sin(11)

x*sin(11) = 7*sin(23)

x = 7*sin(23)/sin(11)

x = 14.3343236728824

x = 14.3

Make sure your calculator is in degree mode.

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Answer:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = \frac{9}{5} θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = -36.14^{o}C

⇒ F =  \frac{9}{5} x -36.14^{o} + 32

      = -33.052^{o}F

The boiling point = 324.84^{o}C

F =  \frac{9}{5} x  324.84^{o} + 32

  = 616.712^{o}F

The melting point of the substance is -33.052^{o}F, and boiling point is 616.712^{o}F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above 616.712^{o}F, it changes to gas.

ii. When the temperature is below -33.052^{o}F, it changes to solid.

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