Answer:
Step-by-step explanation:
Given
Required
This is calculated as:
So, we have:
In paralelleogram ABCD, diagnosis AC and BD intersect at point E, BE=X2-40 and DE= 6x. What is BD?
1 answer:
Answer:
Length of BD = +6x - 40
Step-by-step explanation:
In parallelogram ABCD , diagonals AC and BD intersect at E .
In a parallelogram , the two opposite sides are parallel and equal in length.
Also opposite angles of a paralleogram are equal .
Here the length of the parts of a diagonal is given.
BE = - 40
DE = 6x
Since the length of whole diagonal is the sum of the lengths of the parts of the diagonal ,
Length of BD = BE + DE
= -40 + 6x
Length of BD = +6x - 40
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a = 0, b = 1/2
Step-by-step explanation:
Multiplication and division of complex numbers in polar form is pretty simple.
... a·Cis(α) × b·Cis(β) = ab·Cis(α+β) . . . . . multiply magnitudes; add angles
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In your case, you have ...
... 2·Cis(120°) / (4·Cis(30°)) = (2/4)·Cis(120° -30°) = (1/2)·Cis(90°)
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_____
<em>Comment on the use of a calculator</em>
It helps to be aware of how your calculator handles complex numbers. This one can express complex numbers in exponential format, equivalent to a polar form, but requiring specific notation. In this case, the variable D has been assigned the value π/180 so multiplying by it converts degrees to radians. The result of the division is (1/2)i, not 1/(2i).
