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7nadin3 [17]
2 years ago
10

Explain how you would find 36x 5/6 mentally.

Mathematics
2 answers:
Ainat [17]2 years ago
4 0

Answer:

In step-by-step explanation.

Step-by-step explanation:

Multiplying a fraction (like 1/2) is really just dividing by the denominator.

In this case, we can (mentally) divide 36 by 6.

36/6 = 6

So each 1/6 of 36 is 6.

Then we just add 1/6 of 36 five times to get 5/6

6+ 6+ 6+ 6+ 6 (or 6 x 5) and we get 30.

Bezzdna [24]2 years ago
4 0
We will simplify it in four's table
9×3=27
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Which expression is a fourth root of -1+isqrt3?
aleksklad [387]

Answer:

Step-by-step explanation:

\sf n^{th} roots of a complex number is given by DeMoivre's formula.

   \sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}

Here, k lies between 0 and (n -1) ; n is the exponent.

\sf -1 + i\sqrt{3}

a = -1 and b = √3

\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}

\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}

                   \sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})

                   \sf = \dfrac{-\pi }{3}

n = 4

For k = 0,

          \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin  \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi  }{12}+iSin  \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]

For k =1,

         \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]

For k =2,

       z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]

For k = 3,

      \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]

For k = 4,

      \sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]

4 0
2 years ago
Subtract. What is the difference (9 * 10"") - (4 * 10 ") in scientific
Nady [450]

Answer:

(5 * 10")

Step-by-step explanation:

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I don't understand the "" part but im pretty sure this is what you meant

8 0
3 years ago
The figures are similar. Find x.
DaniilM [7]

Answer:

My own answer to your question is x=10

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The answer should be $33.99
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Read 2 more answers
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