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avanturin [10]
2 years ago
15

Write the complex number in the form a + bi. 6(cos 330° + i sin 330°) -3square root of three - 3i -3square root of three + 3i 3s

quare root of three + 3i 3square root of three - 3i
Mathematics
1 answer:
torisob [31]2 years ago
3 0

Answer:

The complex number in rectangular form is z = 3\sqrt{3}-i\,3.

Step-by-step explanation:

Let be a complex number in polar form, that is: z = r\cdot (\cos \theta + i\,\sin \theta). The equivalent expression in rectangular form is defined by z = a+i\,b, where:

a = r\cdot \cos \theta (1)

b = r\cdot \sin \theta (2)

Where:

r - Magnitude.

\theta - Direction, measured in sexagesimal degrees.

If we know that r = 6 and \theta = 330^{\circ}, then complex number in rectangular form is:

a = 6\cdot \cos 330^{\circ}

a = 3\sqrt{3}

b = 6\cdot \sin 330^{\circ}

b = -3

The complex number in rectangular form is z = 3\sqrt{3}-i\,3.

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When Derek planted a tomato plant, he expected to be picking his first ripe tomato in 45 days. His estimate was 25% less than th
jolli1 [7]

Answer:

60 days.

Step-by-step explanation:

Let the actual time be x, then:

x - 0.25x = 45

0.75x = 45

x = 45/0.75

= 60 days.

3 0
2 years ago
Find the difference. Simplify. Combine Like Terms.
Ivan

Answer:

\huge{ \fbox{ \sf{ - 2y - 30}}}

Step-by-step explanation:

\star{ \sf{ \: (4y - 10) - (6y + 20)}}

\text{Step \: 1 }\:  :  \sf{While \: subtracting \: sign \: of \: each \: term \: of \: the \: second \: expression \: changes}

\hookrightarrow{ \sf{4y - 10 - 6y - 20}}

\text{Step \: 2 \:  :  \sf Collect \: like \: terms}

\sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

\hookrightarrow{ \sf{4y - 6y - 10 - 20}}

\hookrightarrow{ \sf{ - 2y - 10 - 20}}

\text{Step \: 3 \:  :  \sf{Calculate}}

\underline{ \text{Remember!}}  :  \sf{The \: negative \: integers \: are \:always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}

\hookrightarrow{ \sf{ - 2y - 30}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

5 0
3 years ago
PLZ HELPPPP!!!!!!!!!
Setler79 [48]
The answer is 1/3. :)
8 0
3 years ago
Replace the ? with one of the following symbols (<, >, =, or ≠) for 4 + 3 + 7 ? 7 + 0 +7 A. ≠ B. = C. < D. >
yan [13]

[ Answer ]

\boxed{=}

[ Explanation ]

4 + 3 + 7 ___ 7 + 0 + 7

Solve Each Side:

4 + 3 + 7 = 14

7 + 0 + 7 = 14

14 __ 14

14 is equal to 14, therefore the __ (Or ?) is replaced with an = sign.

\boxed{[ \ Eclipsed \ ]}

4 0
2 years ago
(y= –2x – 5<br> Ty= 2x – 2
Elden [556K]

Answer:

t=2x-2/-2x-5

Step-by-step explanation:

y=-2x-5

ty= 2x-2

add the y value in

t-2x-5=2x-2

combine like terms

t=4x+3

hope this helps :)

4 0
2 years ago
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