Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #(11pi)/12 # and the other has a corner with an angle of #(pi)/4 #, what is the difference between the areas of the rhombuses?
Area of rhombus Rhombus 1 : Area 1 (A1) Rhombus 2: Area 2 (A2) Difference between A1 and A2 : Or solution 2 : difference of areas :
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To find the difference between the areas of the two rhombuses, first, determine the diagonals of each rhombus.
For the rhombus with an angle of ( \frac{11\pi}{12} ), the diagonals are 4 and (4 \tan\left(\frac{11\pi}{24}\right)).
For the rhombus with an angle of ( \frac{\pi}{4} ), the diagonals are both 4.
Calculate the area of each rhombus using the formula: Area = ( \frac{d_1 \times d_2}{2} ), where ( d_1 ) and ( d_2 ) are the lengths of the diagonals.
Finally, find the difference between the areas of the two rhombuses.
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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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