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IRISSAK [1]
3 years ago
7

Name the ray that is opposite AD?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
3 0

Answer:

I think it's AB

Step-by-step explanation:

Since its the opposite of AD

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What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)
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Answer:

<h2>6cis120°</h2>

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos\theta and y = rsin\theta

where r is the modulus of the complex number and \theta is the argument, z in polar form is represented as:

z =  rcos\theta+ rsin\theta

z = r(cos\theta+ isin\theta)

z = rcis\theta

Given the complex number z=−3+3√3i

r = \sqrt{x^{2}+y^{2}  }

r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2}  } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6

argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

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<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

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Let us assume that the vase has a base with radius of 1 m and height of 7 m, hence:

Volume of vase = π * radius² * height

Volume of vase = π * (1)² * 7 = 22 m³ = 22000 L

The volume of a vase with a radius of 1 m and height of 7 m is 22000 L

Find out more on equation at: brainly.com/question/2972832

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