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ziro4ka [17]
3 years ago
7

(3-5i)(2+9i)+(7+2i)(7-2i)

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0
i^{2} = -1

-----------------------------------------

(3-5i)(2+9i)+(7+2i)(7-2i) = \\  \\  =  6 + 27i - 10i - 45i^{2} + 49 - 14i + 14i - 4i^{2} =  \\  \\  =55 + 17i + 45 + 4   = \boxed{104 + 17i}
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kangaroo wants to arrange the twelve numbers from 1 to 12 in a circle in such a way that any neighboring numbers always differ b
Deffense [45]
Start by laying out the 12.
The neighbors of 12 must be 11 and 10.
The neighbor of 11 must be 9, and the neighbor of 10 must be 8, and so on and so forth, until you get a unique arrangement.

3 0
3 years ago
Honda Atlas issued 100,000 shares of stock. In 1990, each share of stock was worth Rs. 152.50. In 1993, each share of the stock
noname [10]

Answer:

Rs.13,130 ,000

Step-by-step explanation:

Lets solve first for year 1990

Value of stock in 1990 = Rs. 152.50

No. of stocks issued in 1990 = 100,000

Total value of these stocks in 1990= Value of stock in 1990* no of stocks issued in 1990  = 152.50*100,000 = Rs. 15,250,000

Let solve first for year 1993

Value of stock in 1993 = Rs. 21.20

No. of stocks   1993 = 100,000

Total value of these stocks in 1993 = Value of stock in 1993* no of stocks issued in 1993  = 21.20*100,000 = Rs. 2,120,000

Decrease in value of stock in 1993 in comparison to 1990 = Total value of the stocks in 1990 -Total value of the stocks in 1993

 =  Rs. 15,250,000 - Rs. 2,120,000

 = Rs.13,130 ,000

Thus, the 100,000 shares worth Rs.13,130 ,000 lesser in 1993 than in 1990.

6 0
3 years ago
) the top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. if the area of printed material on the pos
grin007 [14]
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)

Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
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The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.

_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
8 0
3 years ago
Simplify 60 over 1 and 1/4
Pepsi [2]
60 over 1 would be 60.

1/4 is already to its lowest.
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3 0
4 years ago
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Sunny_sXe [5.5K]

Step-by-step explanation:

the opposite angles are always same.

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