A parallelogram has sides A, B, C, and D. Sides A and B have a length of #3 # and sides C and D have a length of # 9 #. If the angle between sides A and C is #pi/12 #, what is the area of the parallelogram?
The area of the parallelogram is
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The area of a parallelogram is given by the formula: ( \text{Area} = \text{base} \times \text{height} ).
The base of the parallelogram is the length of one of its sides. In this case, either side A or side C can be considered the base.
Given that the length of side A is 3 and the angle between sides A and C is ( \frac{\pi}{12} ), we can use trigonometry to find the height of the parallelogram, which is the perpendicular distance between sides A and C.
Using the sine function: [ \sin\left(\frac{\pi}{12}\right) = \frac{\text{height}}{3} ] [ \text{height} = 3 \times \sin\left(\frac{\pi}{12}\right) ]
Once we have the height, we can calculate the area using the formula mentioned earlier.
[ \text{Area} = 3 \times 3 \times \sin\left(\frac{\pi}{12}\right) ]
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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.
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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- My quadrilateral has congruent diagonals. What must it be?
- Prove that if midpoints of non-parallel sides of a trapezium are joined, this line is parallel to parallel sides of the trapezium?

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