# A parallelogram has sides A, B, C, and D. Sides A and B have a length of #1 # and sides C and D have a length of # 5 #. If the angle between sides A and C is #(5 pi)/12 #, what is the area of the parallelogram?

Drawn this way our base is length 1

So the height X base is as given above

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To find the area of the parallelogram, we can use the formula: Area = base × height. Here, the base of the parallelogram is the length of side A, which is 1 unit. The height of the parallelogram can be found by projecting side C onto side A. We can use trigonometry to find this height.

Given that the angle between sides A and C is (5π)/12, we can use the sine function to find the height. Using the formula for the area of a parallelogram, where area equals base times height, we have:

Area = base × height = 1 × (length of side C) × sin(angle between sides A and C)

Substituting the known values, we get:

Area = 1 × 5 × sin((5π)/12)

Calculating the sine of (5π)/12, and then multiplying by 5, we find the area of the parallelogram.

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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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- Is a rhombus always a trapezoid?
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