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diamong [38]
3 years ago
6

Find all solutions of the equation. leave answers in trigonometric form x^3-8=0 2cis

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
7 0

x^3-8=0

x^3=8=8\mathrm{cis}\,0^\circ

By DeMoivre's theorem, we have

x=8^{1/3}\mathrm{cis}\left(\dfrac{0^\circ+360^\circ k}3\right)

with k=0,1,2. Then we have three solutions,

x=2\mathrm{cis}\,0^\circ=2

x=2\mathrm{cis}\,120^\circ

x=2\mathrm{cis}\,240^\circ

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skad [1K]

Answer:

For #2: It's C. 17 nickels and 15 quarters.

Step-by-step explanation:

17*5= 85

15*25= 375

375+85= 460

add in the decimal:

17* 5 cents= $.85

15* 25 cents= $3.75

$3.75+ $.85= $4.60

7 0
3 years ago
4. Suppose 11 out of 17 students said they were attending the football game. How many students out of 875 would you expect to at
SCORPION-xisa [38]

We have to basically multiply:

11/17 x 475

And simplifying that we get

307.35

And since there can't be .35 person

So out final answer is 307

pls pls brainlist

6 0
3 years ago
Can I have some help I’ll mark brainliest
Juli2301 [7.4K]
45/45/90 triangle has side ratios s/s/sroot2
leg = root 5
Other leg is also root 5
X is Hypotenuse which would be root 5 * root 2
root 5*2 = root 10
6 0
3 years ago
If anyone knows the answer to this can you help me
Murljashka [212]

Answer:

<h3>             C.    y + 7 = -7(x - 3)</h3>

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where <em>m</em> is the slope and <em>(x₀, y₀)</em> is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                <u> </u><u>y + 7 = -7(x - 3) </u>

4 0
3 years ago
Test worth 70 points test score of 90%
diamong [38]
To calculate how many points this person got, take 90% of the total:

0.9(70) = 63

A test score of 90% is 63 points out of 70.
3 0
3 years ago
Read 2 more answers
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