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yan [13]
3 years ago
7

Simplify (10 + 3i)(5 – 2i) ...?

Mathematics
2 answers:
iogann1982 [59]3 years ago
6 0
(10+3i)(5-2i)
30i=50-20i
50i=50
i=1

maybe
Fiesta28 [93]3 years ago
3 0

Answer:

56-5i

Step-by-step explanation:

Given are two complex numbers

10+3i and 5-2i

We are to find its product

Let us use foil method to multiply these two binomials.

(10+3i)(5-2i)\\=50+15i-20i-6i^2\\

Use the fact that i square =-1

We get product

= 50-5i+6\\=56-5i

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Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Ratling [72]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

8 0
3 years ago
Find the missing length <br> . Leave your answers in simplest radical form
Aloiza [94]

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x^2 + 9^2 = (SQRT 226)^2

x^2 + 81 = 226

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3 years ago
Y/x^2 + y/x^3<br><br>perform the operation and express your answer as a single fraction​
umka2103 [35]

Answer:

\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}

Step-by-step explanation:

Given the expression

\frac{y}{x^2}+\frac{y}{x^3}

Let us perform the operation and express your answer as a single fraction​

\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}

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Therefore, we conclude that:

\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}

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xxMikexx [17]

Answer:

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7 0
3 years ago
Read 2 more answers
Correct or incorrect?
Rama09 [41]
It think is is correct.
8 0
3 years ago
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