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1 year ago

Represent the complex number graphically, and find the trignometric form of the number. 1 + 3i

Mathematics

1 answer:

nevsk [136]1 year ago

7 0

The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]

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

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

Complex number is in the form z = a + bi, where a, b are real numbers.

Given the complex number z = 1 + 3i

In polar form: r = √(1² + 3²) = 3.16

Ф = tan⁻¹ (3/1) = 71.57⁰

The trigonometric form of the complex number 1 + 3i is 3.16[cos(71.57)° + isin(71.57°)]

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

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Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Step-by-step explanation:

So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

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solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

$A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle we have:

$A_{r} = bh = 6 cm*4 cm = 24 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

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So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

$A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}$

This polygon does have an area of 32 cm².

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!

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2 years ago

What is the probability that there is at most one purple marble? 0.100 0.301 0.770 0.971

andriy [413]

The probability that there is at most one purple marble is 0.9701.

<h3>What is the probability about?</h3>

Probability is a term that connote the possibility of an event or something occurring or not.

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Based on the fact that there is a bag that has eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the probability that there is at most one purple marble is 0.9701.

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