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klio [65]
3 years ago
13

Find the sum of 10 + 5i and its complex conjugate.

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

20.

Given, complex number is 10+5i .

We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.

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For each $n \in \mathbb{N}$, let $A_n = [n] \times [n]$. Define $B = \bigcup_{n \in \mathbb{N}} A_n$. Does $B = \mathbb{N} \time
andre [41]

Answer:

No, it is not.

Step-by-step explanation:

The set C = \mathbb{N} \times \mathbb{N} contains every ordered pair of Natural numbers, while B only contains those pairs in which both values in each entry are the same. Therefore, C is a bigger set than B, but B is not equal to C because for example C contains [1] \times [2] and B doesnt because 1 is not equal to 2.

4 0
2 years ago
I need an answer to this asap... please ....just number 3
Agata [3.3K]

Answer:

hence cos ( 2 A ) = cos 2 A − ( 1 − cos 2 A ) = 2 cos 2 A − 1


Step-by-step explanation:Well we know that for two angles A , B

it holds that cos ( A + B ) = cos A cos B − sin A ⋅ sin B hence for A = B you get cos ( 2 A ) = cos 2 A − sin 2 A But sin 2 A = 1 − cos 2 A


7 0
3 years ago
Read 2 more answers
If the volume of a cube is 729cm^3, what is the surfface area.<br><br> Thanks!!
bezimeni [28]

Answer:

486cm^2

Step-by-step explanation:

cube volume: 729cm^3

cube faces count: 6

How you calculate square area:

s(cm) * s(cm) or just s^2(cm^2)

s = side length

If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))

729^(1/3) = 9

then just calculate the area like i showed earlier:

(9cm)^2 = 81cm^2

But that is only one side of a cube's 6 sides, so multiply by 6:

81cm^2 * 6 = 486cm^2

Hope i could help :D

Dont be scared to ask me questions..

4 0
2 years ago
What is the area of the shaded region?
kolezko [41]

Answer:

110 cm^2

Step-by-step explanation:

The first thing that you need to do is find the area of triangle AFE. The area of a triangle is always base*height/2. So in this case, that would be 10*6 divided by 2, which is 30 cm. Next, you will need to know the area of triangle ECB. Using that same formula, you will get 8*10/2, which is 40 cm. Finally, you will need to find the area of the whole rectangle. The area of a rectangle is always the length times the width. In this case, you would have 10*18, which is 180 cm. To get your final answer, you need to subtract the areas of the unshaded area from the whole area. That would be 180-(30+40), which is 110 cm. I hope this helped!

6 0
2 years ago
Based on the tables, at what point do the lines y = 3x - 2 and y = -5x - 10 intersect?
Pepsi [2]
Intersect at where x=x and y=y
see where they have the same x and y values
that is at x=-1 and y=-5
intersect at (-1,-5)
8 0
3 years ago
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