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Afina-wow [57]
2 years ago
15

What is the argument of -5\sqrt{3}+ 5i?

Mathematics
1 answer:
Shtirlitz [24]2 years ago
4 0

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

\theta=30

So 90-30=60.

The answer therefore 60+90=150.

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Answer:

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Step-by-step explanation:

$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.

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So, we would have the equation:

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Hope this helps!

8 0
2 years ago
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german

show how to simply that

(y-2)^2

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6 0
3 years ago
Which solution is correct? Be sure to check for extraneous solutions.
denis23 [38]
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4 0
2 years ago
76.8 of what is 40.32
bearhunter [10]
Hey there

Lets solve this question together,

Convert 76.8% to a decimal.

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Multiply 0.768 by x to get 0.768x.

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Multiply each term by 1 / 0.768 and simplify.

Cancel the common factor of 0.768.

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Divide 40.32 by 0.768 to get 52.5

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6 0
2 years ago
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