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ExtremeBDS [4]
3 years ago
13

What is another way to make 4.65?

Mathematics
2 answers:
lukranit [14]3 years ago
6 0

Step-by-step explanation:

When you ask, "What is 4.65 as a decimal?", we assume you want to know what 4.65 percent is as a decimal. In other words, 4.65 percent converted to decimal.

First, we will tell you why it is useful to know 4.65 as a decimal.

Normally, to calculate 4.65 percent, you would multiply a number by 4.65 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 4.65 as a decimal to get the answer.

4.65 percent means 4.65 per hundred. Therefore, to get 4.65 as a decimal, all you have to do is divide 4.65 by 100 like so:

4.65 ÷ 100 = 0.0465

Shortcut: When you divide anything by 100, just move the decimal point two places to the left.

Brrunno [24]3 years ago
4 0

Answer:

0.465 ×10

Step-by-step explanation:

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Express the complex number in trigonometric form -6 + 6sqrt3i
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\large\begin{array}{l}\\\\ \textsf{This is a complex number in }\mathsf{a+bi}\textsf{ form:}\\\\ \mathsf{z=-6+6\sqrt{3}\,i}\\\\ \textsf{where }\mathsf{a=-6~~and~~b=6\sqrt{3}.} \end{array}


\large\begin{array}{l}\\\\ \bullet~~\textsf{1}\mathsf{^{st}}\textsf{ step: Find the absolute value of z (complex modulus of z):}\\\\ \mathsf{|z|=\sqrt{a^2+b^2}}\\\\ \mathsf{|z|=\sqrt{(-6)^2+(6\sqrt{3})^2}}\\\\ \mathsf{|z|=\sqrt{36+36\cdot 3}}\\\\ \mathsf{|z|=\sqrt{36\cdot 108}}\\\\ \mathsf{|z|=\sqrt{144}}\\\\ \mathsf{|z|=12} \end{array}


\large\begin{array}{l}\bullet~~\textsf{2}\mathsf{^{nd}}\textsf{ step: Find the argument }\mathsf{\theta}\textsf{ of z:}\\\\ \mathsf{arg(z)=\theta}\\\\ \textsf{is an angle that satisfies the following conditions:}\\\\ \begin{cases} \mathsf{cos\,\theta=\dfrac{a}{|z|}=\dfrac{a}{\sqrt{a^2+b^2}}}\\\\ \mathsf{sin\,\theta=\dfrac{b}{|z|}=\dfrac{b}{\sqrt{a^2+b^2}}} \end{cases}\qquad\quad-\pi


\large\begin{array}{l}\textsf{For }\mathsf{z=-6+6\sqrt{3}\,i,}\\\\ \begin{cases} \mathsf{cos\,\theta=\dfrac{-6}{12}=-\,\dfrac{1}{2}}\\\\ \mathsf{sin\,\theta=\dfrac{6\sqrt{3}}{12}=\dfrac{\sqrt{3}}{2}} \end{cases}\\\\\\ \textsf{Since}\\\\ \mathsf{cos\,\theta0,}\\\\ \theta\textsf{ lies in the 2}\mathsf{^{nd}}\textsf{ quadrant.}\\\\\\\textsf{Therefore,}\\\\ \mathsf{\theta=\dfrac{2\pi}{3}~rad~~(120^\circ)} \end{array}


\large\begin{array}{l}\bullet~~\textsf{3}\mathsf{^{rd}}\textsf{ step: Express z in the trigonometric form:}\\\\ \begin{array}{rcl} \mathsf{z}&\!\!=\!\!&\mathsf{|z|\cdot (cos\,\theta+i\,sin\,\theta)}\\\\ \mathsf{-6+6\sqrt{3}\,i}&\!\!=\!\!&\mathsf{12\cdot \left(cos\, \dfrac{2\pi}{3}+i\,sin\,\dfrac{2\pi}{3}\right)\qquad\quad\checkmark} \end{array} \end{array}


If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2154167


\large\textsf{I hope it helps.}


Tags: <em>complex number trigonometric form trig absolute value modulus argument angle</em>

4 0
3 years ago
The measures of all of the interior angles of a triangle are in the extended ratio 1 : 2 : 3. The value of the smallest angle is
jarptica [38.1K]
The sum of the interior angles of a triangle is 180°.

Let's suppose that all 3 angles in the ratio are divisible by a value x.

So the three angles become 1x, 2x and 3x.

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x = 30° [ By dividing both sides by 6 ]

Thus the three angles are: 1x = 30° ; 2x = 2*30 = 60° ; 3x = 3*x = 90°

Hence the smallest angle is 30°.
7 0
3 years ago
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