Yes or no? which is ut

Mathematics

1 answer:

sasho [114]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

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18 - 24i write in trigonometric form

stiks02 [169]

$\boxed{18-24i=30(cos(5.36)+isin(5.36))}$

<h2>Explanation:</h2>

Unlike 0, we can write any complex number in the trigonometric form:

$z=r(cos\alpha+isin\alpha)$

We have the complex number:

$18-24i$

So $r$ can be found as:

$r=\sqrt{x^2+y^2} \\ \\ \\ Where: \\ \\ x=18 \\ \\ y=-24 \\ \\ r=\sqrt{18^2+(-24)^2} \\ \\ r=\sqrt{324+576} \\ \\ r=\sqrt{900} \\ \\ r=30$

Now for α:

$\alpha=arctan(\frac{y}{x}) \\ \\ Since \ the \ complex \ number \ lies \ on \ the \ fourth \ quadrant: \\ \\ \alpha=arctan(\frac{-24}{18})=-53.13^{\circ} \ or \ 360-53.13=306.87^{\circ}$

Finally:

$Convert \ into \ radian: \\ \\ 360^{\circ}\times \frac{\pi}{180}=5.36rad \\ \\ \\ Hence: \\ \\ \boxed{18-24i=30(cos(5.36)+isin(5.36))}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

6 0

4 years ago

Mercury, Venus, and Earth are the three planets closest to the Sun. Would their combined distance in km from the Sun be greater

suter [353]

Answer:

Step-by-step explanation:

If you added all the fallowing planets mercury Venus and earth together itwould be greater than the distance from Neptune to the sun neptune is 2.759 billion miles away from the sun and the three others combined are 196.18 million.

I hope this helps

3 0

3 years ago

A triangle has side with the lengths 8x + 6, 5x -5 and -6x + 12. What is the perimeter of the triangle?

Verizon [17]

To find the perimeter you have to combine like terms. 8x + 5x - 6x is 7x and 6 - 5 + 12 is 13 so the perimeter of the triangle is 7x + 13

5 0

3 years ago

A golf player is trying to make a hole-in-one on the miniature golf green shown.

Flauer [41]

The path of the ball is an illustration of absolute equation.

The equation of the path is: $y =- \frac{12}7|x- 4.8| + 6.4$