Hello,
z=(1/√2-1/√2 i)^6=1/8*(1-i)^6=1/8*(√2∡-45°)^6=1/8*8∡-270°=1∡90°=i
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Answer:
k = 8
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 32 when x = 4, then
32 = 4k ( divide both sides by 4 )
8 = k
Answer:
Total rainfall in one month 
inches
Step-by-step explanation:
The total rainfall around an year is equal to 
inches
There are 12 months in an year.
Total rainfall in one month is equal to total rainfall in an year divided by number of months
Total rainfall in one month
inches
i think the answer is 482,064?
Answer:
Step-by-step explanation:
The two smaller angles add up to the measure of the total angle, so
(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°
8x + 46° = 70°
8x = 24°
x = 3°
There is no actual question shown, but I imagine you want one or more of the following:
x = 3°
∠ABC = 3(3°) + 33° = 9°+ 33° = 42°
∠CBD = 5(3°) + 13° = 15° + 13° = 28°
Hope this helps.
