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xenn [34]
3 years ago
15

{5x+15}{8x-42} solve for angle CDE

Mathematics
1 answer:
Natalka [10]3 years ago
7 0
The answer is 100 degrees
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Write the complex number in polar form:
emmasim [6.3K]

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Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

  (2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

  (2√30)cis(-120°)

  (2√30; -120°)

  (2√30; -2π/3)

  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

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3 years ago
Conjectures can always be proven true.<br> True or False
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Yes, It is True first find what is a conjectures
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Luke was given a gift card for a coffee shop. Each morning, Luke uses the card to buy one cup of coffee. The original amount of
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Answer:

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(0,30) is a point on the graph

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Find the slope using the two points

12-30/6-0= -18/6=-3

 

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Solve the equation to find a positive value of c: 62 + 82 = c2
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c^{2} = 144
c = ±\sqrt{144}
c = <span>±12</span>
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Alonzo deposits 300 into an account that pays simple interest at a rate of 4% per year . How much interest will he be paid in th
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Answer:

1200 was is interested in the first 4years

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