Answer:
37.8579
This value is approximate and rounded to four decimal places
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Explanation:
The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"
So apply the arctangent to both sides to get
tan(x) = 0.7773
arctan(tan(x)) = arctan(0.7773)
x = 37.8579
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Answer:
C
Solution
For a complex number written in the form a + bi, a is called the real part of the complex number and b is called the imaginary part. The sum of two complex numbers, a + bi and c + di, is found by adding real parts and imaginary parts, respectively, that is, (a + bi) + (c + di) = (a + c) + (b + d)i. Therefore, the sum of 2 + 3i and 4 + 8i is (2 + 4) + (3 + 8)i = 6 + 11i.
Choice A is incorrect and is the result of disregarding i and adding all parts of the two complex numbers together, 2 + 3 + 4 + 8 = 17. Choice B is incorrect and is the result of adding all parts of the two complex numbers together and multiplying the sum by i. Choice D is incorrect and is the result of multiplying the real parts and imaginary parts of the two complex numbers, (2)(4) = 8 and (3)(8) = 24, instead of adding those parts together.
70,000,000+8,000,000+600,000+20,000+1,000+80+7 = 78,621,087
To find out what fraction of the half quart each friend will get, divide the 1/2 quart into 2 groups.
1/2 divided by 2 is the same as 1/2 x 1/2 or 1/4 quart.
Each friend will get 1/4 quart of milk.
