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Olin [163]
2 years ago
7

Use the method of dividing prime factors to find the greatest common factor of 16, 120, and 216.

Mathematics
1 answer:
lawyer [7]2 years ago
4 0
I hope this helps you

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Express the complex number in trigonometric form. -6 + 6 square root of 3 i ?
bagirrra123 [75]
\bf \begin{array}{clclll}
-6&+&6\sqrt{3}\ i\\
\uparrow &&\uparrow \\
a&&b
\end{array}\qquad 
\begin{cases}
r=\sqrt{a^2+b^2}\\
\theta =tan^{-1}\left( \frac{b}{a} \right)
\end{cases}\qquad r[cos(\theta )+i\ sin(\theta )]\\\\
-------------------------------\\\\

\bf r=\sqrt{(-6)^2+(6\sqrt{3})^2}\implies r=\sqrt{36+(6^2\cdot 3)}\implies r=\sqrt{144}
\\\\\\
r=12\leftarrow 
\\\\\\
\theta =tan^{-1}\left( \frac{6\sqrt{3}}{-6} \right)\implies \theta =tan^{-1}\left( -\sqrt{3}\right)\implies \theta =
\begin{cases}
\frac{2\pi }{3}\leftarrow \\
\frac{5\pi }{3}
\end{cases}

now, notice, there are two valid angles for such a tangent, however, if we look at the complex pair, the "a" is negative and the "b" is positive, that means, "x" is negative and "y" is positive, and that only occurs in the 2nd quadrant, so the angle is in the second quadrant, not on the fourth quadrant.

thus         \bf 12\left[cos\left( \frac{2\pi }{3} \right) +i\ sin\left( \frac{2\pi }{3} \right) \right]
5 0
3 years ago
The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 a
saul85 [17]
The answer is C. 12in
5 0
3 years ago
Which statements about countries with lower GDP and lowest HDI scores are accurate? Check all that apply
yKpoI14uk [10]

Answer:The countries with lower GDP are the same as those with the lowest HDI.

U GDP is a solid indicator of what a country's HDI will be.

da​

Step-by-step explanation:

Which statements about countries with lower GDP and lowest HDI scores are accurate?

The countries with lower GDP are the same as those with the lowest HDI - human development index a measure of life expectancy, education and per capita income indicators.

The GDP rank tends to be associated with the lowest HDI.

U GDP - gross domestic product the total monetary value of goods and services in country at a specific time period is a solid indicator of what a country's HDI will be.

da​

The GDP can be used to rank a country's HDI

6 0
3 years ago
Read 2 more answers
Your favorite ice cream shop has 21 flavors. You want to see which flavors are most popular. Which type of chart would be best f
Oksana_A [137]

Answer:

This in fact would be a bar graph

Using a bar graph you can see the amount of people who like a specific type of ice cream

Hope this helps :)

Have a great day love :)

8 0
2 years ago
Y-8=5(x-3) what is the slope
Brilliant_brown [7]
Answer: 5

Slope is usually the number in front of x
8 0
2 years ago
Read 2 more answers
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