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galben [10]
3 years ago
6

Simplify (write without the absolute value sign.) |x−120| , if x<120

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

-x+120

Step-by-step explanation:

if a is greater than 0, then the answer would be a.

if a is less than 0, then the answer would be -a.

If a is equal to 0, then the answer would be 0.

Remember that formula. It will help you solve all the problems like this in the future.

-Char-

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Answer:

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Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

sin (A_water) = 1 * 0.387 / 1.33

A_water = arc sin (0.2907) = 16.9 °

now for the tank depth:

h = D / tan (A_water)

D = 3.25

Replacing

h = 3.25 / tan 16.9 °

h = 10.69

Therefore the depth is 10.69 meters.

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