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Nady [450]
3 years ago
8

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

The answer to your question is AC = 9.9

Step-by-step explanation:

To solve this problem use trigonometric functions. The trigonometric function that relates the hypotenuse and the adjacent side is cosine.

             cos α = \frac{adjacent side}{hypotenuse}

Solve for hypotenuse

              hypotenuse = \frac{adjacent side}{cos\alpha }

Substitution

             hypotenuse = \frac{9}{cos 24}

Simplification and result

             hypotenuse = 9.85

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The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
andreyandreev [35.5K]

Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6)  [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

<u>Complete Question:</u>

<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

3 0
3 years ago
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_________________________

Answer

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9 1/4 (in absolute value)

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