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saul85 [17]
3 years ago
15

Identify all the sets to which the number 0.47565 belongs

Mathematics
1 answer:
Ganezh [65]3 years ago
5 0
The answer is D. Whole number, integer and Rational number
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Can somebody explain how trigonometric form polar equations are divided/multiplied?
koban [17]

Answer:

Attachment 1 : Option C

Attachment 2 : Option A

Step-by-step explanation:

( 1 ) Expressing the product of z1 and z2 would be as follows,

14\left[\cos \left(\frac{\pi \:}{5}\right)+i\sin \left(\frac{\pi \:\:}{5}\right)\right]\cdot \:2\sqrt{2}\left[\cos \left(\frac{3\pi \:}{2}\right)+i\sin \left(\frac{3\pi \:\:}{2}\right)\right]

Now to solve such problems, you will need to know what cos(π / 5) is, sin(π / 5) etc. If you don't know their exact value, I would recommend you use a calculator,

cos(π / 5) = \frac{\sqrt{5}+1}{4},

sin(π / 5) = \frac{\sqrt{2}\sqrt{5-\sqrt{5}}}{4}

cos(3π / 2) = 0,

sin(3π / 2) = - 1

Let's substitute those values in our expression,

14\left[\frac{\sqrt{5}+1}{4}+i\frac{\sqrt{2}\sqrt{5-\sqrt{5}}}{4}\right]\cdot \:2\sqrt{2}\left[0-i\right]

And now simplify the expression,

14\sqrt{5-\sqrt{5}}+i\left(-7\sqrt{10}-7\sqrt{2}\right)

The exact value of 14\sqrt{5-\sqrt{5}} = 23.27510\dots and (-7\sqrt{10}-7\sqrt{2}\right)) = -32.03543\dots Therefore we have the expression 23.27510 - 32.03543i, which is close to option c. As you can see they approximated the solution.

( 2 ) Here we will apply the following trivial identities,

cos(π / 3) = \frac{1}{2},

sin(π / 3) = \frac{\sqrt{3}}{2},

cos(- π / 6) = \frac{\sqrt{3}}{2},

sin(- π / 6) = -\frac{1}{2}

Substitute into the following expression, representing the quotient of the given values of z1 and z2,

15\left[cos\left(\frac{\pi \:}{3}\right)+isin\left(\frac{\pi \:\:}{3}\right)\right] \div \:3\sqrt{2}\left[cos\left(\frac{-\pi \:}{6}\right)+isin\left(\frac{-\pi \:\:}{6}\right)\right] ⇒

15\left[\frac{1}{2}+\frac{\sqrt{3}}{2}\right]\div  \:3\sqrt{2}\left[\frac{\sqrt{3}}{2}+-\frac{1}{2}\right]

The simplified expression will be the following,

i\frac{5\sqrt{2}}{2} or in other words \frac{5\sqrt{2}}{2}i or \frac{5i\sqrt{2}}{2}

The solution will be option a, as you can see.

6 0
4 years ago
What is -9x+6y=18 in slope intercept form?
Scrat [10]
The answer to this question would be
y
=
1
6
x
+
3
8 0
3 years ago
Read 2 more answers
What 8-9y=35 and how did u get it
Ostrovityanka [42]
8-9y=35

1. Subtract 8 from 35
35-8 = 27
2. divide -9y = 27
-9y = 27
-9y -9

3. Y= -3
4 0
3 years ago
when comparing condition means in an experiment with more than two conditions, why should you use an analysis of variance instea
Citrus2011 [14]

The we should use ANOVA instead of several t-tests to evaluate the differences in the mean of three or more groups.

<h3>What is t test?</h3>

A t- test is a measurable test that is utilized to look at the method for two gatherings. It is many times utilized in speculation testing to decide if a cycle or treatment really meaningfully affects the number of inhabitants in interest, or whether two gatherings are not quite the same as each other.

<h3>Explain ANOVA test:</h3>

The ANOVA test permits an examination of multiple gatherings simultaneously to decide if a relationship exists between them.

<h3 /><h3>According to question:</h3>

We ought to utilize ANOVA rather than a few t-tests to assess the distinctions in the mean of at least three gatherings on the grounds that without fail, we direct a t-test (between two gatherings) there is some opportunity that a Kind I blunder is being made while doing the test.

To know more about t-test visit:

brainly.com/question/15870238

#SPJ4

7 0
2 years ago
Need help!! totally confused‼️
Lemur [1.5K]

Answer:

its c

Step-by-step explanation:

7 0
3 years ago
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