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Law Incorporation [45]
3 years ago
10

How can a conjugate be created from a complex number?

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
A conjugate can be created from a complex number The complex conjugate formula is a+bi is a -bi change the signs of the complex number (a-bi is a+bi) the real part is left unchanged.
ratelena [41]3 years ago
5 0
Remember that (a-b)(a+b)=a²-b²
and (imaginary number)²=real

so if we have a+bi, then a-bi is the conguate because (a+bi)(a-bi)=a²+b²


if the complex number is a+bi the conjucate is a-bi
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The diagram shows a trapezoid prism.
NikAS [45]

Given:

The area of the cross-section is 55cm².

The volume of the prism is 330cm³.

To find:

The length of the prism.​

Solution:

We have,

Area of the cross-section = Area of base = 55 cm²

Volume of the prism = 330cm³.

Let x be the length(height) of the prism.

We know that,

\text{Volume of prism}=\text{Base area}\times height

330=55\times x

\dfrac{330}{55}=x

6=x

Therefore, the length of the prism is 6 cm.

8 0
3 years ago
HELP NEEDED ASAP!! PLEASE!!!
Aliun [14]

1/6 = 16.66/100

16% = 16/100

0.2 = 20/100

0.18 = 18/100

Lisa, Heidi, Jaydie, Martina

3 0
3 years ago
Find the perimeter of a semicircular piece of wood with a diameter of 12 inches. Round your answer to the nearest tenth. ​
deff fn [24]

Answer: 18

Step-by-step explanation:

Perimeter of semicircle: 1/2 π × d + d

1/2 π × 12 + 12

π6+ 12

π18

6 0
3 years ago
500
Rainbow [258]

Options

(A)350 (B)375 (C)725 (D)750 (E)775

Answer:

(E)775

Step-by-step explanation:

From the attached graph

In Year 5

  • 100 shares in ODX Group, Inc. was worth $175
  • 100 shares in Peer Comms Ltd was worth $200

Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in  Peer Comms Ltd, in Year 5

=175+3(200)

=175+600

=$775

The correct option is E.

3 0
3 years ago
Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
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