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Mathematics

1 answer:

Sever21 [200]3 years ago

6 0

Answer: approximately 5.1818 pounds per square inch (psi)

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Work Shown:

P = pressure

T = temperature

The pressure is directly proportional to the temperature, which means P = k*T where k is some constant. As T goes up, P goes up as well, and vice versa. If P goes down, then T goes down too (or vice versa). In short, P and T go up together or go down together.

We're told that 6 psi (pounds per square inch) correspond to a temperature of 440 degrees F. This means P = 6 and T = 440 pair up. Let's use this P and T pairing to find k.

P = k*T

6 = k*440

6/440 = k

k = 6/440

k = 3/220

Therefore, the equation

P = k*T

updates to

P = (3/220)*T

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The last step is to plug in T = 380 to figure out the paired value of P

P = (3/220)*T

P = (3/220)*380

P = 5.1818 approximately

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A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po

nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE