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emmasim [6.3K]
2 years ago
12

Trigonometry problem​

Mathematics
1 answer:
iragen [17]2 years ago
6 0

Answer: -3π/2

Step-by-step explanation:

The unit circle is tricky, but here are some things to know:

  • When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
  • The unit circle is typically measured in radians, not degrees

              - To convert from radians to degrees, multiply by 180/π

              - To convert from degrees to radians, multiply by π/180

  • The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.

              -If the angle is negative, switch the signs of the axis above.

The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.

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An ideal gas is confined within a closed cylinder at a pressure of 2.026 × 105 Pa by a piston. The piston moves until the volume
Elis [28]

Answer:

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

Step-by-step explanation:

Given : An ideal gas is confined within a closed cylinder at a pressure of 2.026\times 10^5 Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.

To find : What is the final pressure of the gas when its temperature returns to its initial value?

Solution :

Since the temperature is constant .

The relation between P and V is given by,

P_1\times V_1 = P_2\times V_2

\frac{P_1}{P_2}=\frac{V_2}{V_1} ....(1)

The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. V_2=\frac{V_1}{9}

or \frac{V_2}{V_1}=\frac{1}{9}

P_1=2.026\times 10^5

Substitute in equation (1),

\frac{2.026\times 10^5}{P_2}=\frac{1}{9}

P_2=9\times 2.026\times 10^5

P_2=18.234\times 10^5

P_2=1.8234\times 10^6

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

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3 years ago
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Answer:

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Step-by-step explanation:

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Write the following ratio in simplest form: 32 min : 36 min
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Step-by-step explanation:

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