# A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 1 #. If the angle between sides A and C is #(7 pi)/18 #, what is the area of the parallelogram?

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The area of the parallelogram can be calculated using the formula:

Area = base × height

In this case, the base of the parallelogram is the length of side A, which is 2 units. To find the height, we need to calculate the perpendicular distance from side A to side C.

Using trigonometry, we can find the height using the formula:

height = side B × sin(angle between sides A and C)

Substitute the given values:

height = 1 × sin((7π)/18)

Calculate the sine of the angle:

sin((7π)/18) ≈ 0.6088

Now, calculate the height:

height ≈ 0.6088

Now, calculate the area:

Area = base × height = 2 × 0.6088 ≈ 1.2176

So, the area of the parallelogram is approximately 1.2176 square units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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