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timofeeve [1]
3 years ago
13

Please help me with this question!!!

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

  3(cos(75°) +i·sin(75°)) and 3(cos(255°) +i·sin(255°))

Step-by-step explanation:

Using Euler's formula, this can be written as ...

  x^2 = 9·e^(i5π/6)

Then the square roots are ...

  x = (±√9)e^((i5π/6)/2) = ±3e^(i5π/12)

Of course, multiplying by -1 is the same as adding 180° to the angle.

The square roots are ...

  3(cos(75°) +i·sin(75°)) and 3(cos(255°) +i·sin(255°))

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More math help pls. :)
Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

  • θ = 26°
  • Adjacent cathetus = k
  • Opposite cathetus  = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

  • angle = x
  • opposite cathetus = 55ft
  • adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

6 0
2 years ago
How long does it take a runner to run 12km if he is running at a speed of 7km/h
Rama09 [41]

Answer:

about an hour and 42 minutes

Step-by-step explanation:

Time=Distance/Speed

3 0
3 years ago
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What is the correct answer to the last box with a red x on it?
ahrayia [7]

Answer:

good question

did i ask shut man stop cheating

4 0
2 years ago
Please please help me
docker41 [41]
Ur missing numbers are -2, 6, and 36

Since the center point is (-2,6), the numbers are reversed in the equation to: (x+2) or(x- -2) and (y-6)

The radius is 6 units so u square it to get 36
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4 years ago
What is the slope of a line that passes through (2,-5) and (6,-2)? *
forsale [732]

Answer:

Step-by-step explanation:

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