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irinina [24]
3 years ago
14

2.

Mathematics
2 answers:
vredina [299]3 years ago
7 0
Answer is
The answer is A:13.7
Lunna [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

13.7

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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

\tan \theta=\infty

\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

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3 years ago
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1. Rachel has a fair pyramid with four faces and a spinner with three equal-sized colored sections. What is the probability that
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Answer:

29%

Step-by-step explanation:

33% - 25% =8%

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In terms of pie, what is the area of the circle?
murzikaleks [220]
The answer is D because it has the larger number and value. So that is the area of the circle.
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Knowing that 8<br> Solve in this format: <br> _
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Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)? A. .34 B. .51 C. .17 D. .68
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Answer:

0.51

Step-by-step explanation:

Mathematically, for two individual events;

P(AnB) = P(A) * P(B)

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