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KATRIN_1 [288]
3 years ago
10

In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordina

tes (r, θ) represent the same complex number?
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction).
r is equivalent to StartRoot x squared + y squared EndRoot and θ is equivalent to Inverse tangent of (StartFraction x Over y EndFraction)
Mathematics
2 answers:
bonufazy [111]3 years ago
7 0

Answer:

The correct option is;

r = √(x² + y²)

θ = tan⁻¹(y/x)

Step-by-step explanation:

The rectangular coordinate of a complex number on the complex plane is given as (x, y)

Given that the complex number is represented by a point on the plane, we have;

The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)

The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)

Sever21 [200]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Edge

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liubo4ka [24]

Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

<u>To find the probability</u>

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%

 

8 0
2 years ago
Someone please help!!! Due tonight, I’ll give brainliest!!!
Ad libitum [116K]

Answer:

2 * 0.75 + 0.50 + 4 * 1.25

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Step-by-step explanation:

Expression

2 * 0.75 + 0.50 + 4 * 1.25

Evaluate

1.50 + 0.50 + 5.00

$7.00

6 0
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Step-by-step explanation:

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A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
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Answer:

19.26

Step-by-step explanation:

7% of 18 is 1.26

1.26+18=19.26

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