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mr_godi [17]
3 years ago
13

Find a complex number a+ ????????????????, with aand ???????? positive real numbers, such that (a+ ????????????????)3 = i.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Answer:

The complex number is 0+i/3.

Step-by-step explanation:

Let the imaginary part be x.

The complex number will be a+xi

Given:

real part =a

(a+xi)*3=i...............(i)

To find:

imaginary part

Solution:

3a + 3xi=i.............(ii)

Comparing real and imaginary parts of eq(ii).

3a=0  and 3x=1

a=0

x=1/3.

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Nadusha1986 [10]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
The perimeter of a rectangle is 500 feet. The ratio of the base and height is 3:2. What is the measure of the height ?
nika2105 [10]

Answer:

height=100feet

Step-by-step explanation:

perimeter of a rectangle=p=500 feet

p=2a+2b equation 1

a=height

b=base

we have: b/a=3/2

so a=(2*b)/3

in equation 1 we have:

500=2*((2*b)/3)+2*b

so we have

500=(4*b)/3 + 2*b

500=(4b+6b)/3

500=(10b)/3

500*3=10b

b=(500*3)/10

b=150 feet =base

so

a=(2*150)/3=100 feet = height

8 0
3 years ago
The cost c ( x ) c(x), where x x is the number of miles driven, of renting a car for a day is $49 plus $0.55 per mile.
marishachu [46]
49+.55x is the equation. So however many miles gets plugged in for x. 
4 0
3 years ago
<>) Melinda
Vanyuwa [196]

Answer:

The statement "500 divided by 50 is 10" is a true statement

Step-by-step explanation:

In mathematics, we have a term that we refer to as Place Value.

Place Value in mathematics can be defined as the value that a digit has based on its position or place in a number.

Examples of place value is:

Thousands represented by Th

Hundreds represented by H

Tens represented by T

Units represented by U

In the above question,

500 ÷ 50 gives us 10.

This is true because, 500 as a number, the Digit 5 has a place value of hundreds

50 as a number , the digit 5 has a place values of Tens.

10 as a number, the digit 1 has a place value of Tens.

In mathematics, the multiplication of 2 numbers in a place value of Tens always gives us a place value of hundreds.

For example, 10 × 50 = 500

Likewise, when we divide, a number with a place value of hundreds by a number with a place value of tens, we have a number with a place value of tens.

For example: 500 ÷ 50 = 10.

Therefore, the statement "500 divided by 50 is 10" is a true statement

7 0
3 years ago
What is the fourth term in the sequence given by a n=5n+3
OverLord2011 [107]
To determine the fourth term, plug 4 into the equation;
n = 5n+3 \\  n_{4} =5(4)+3 \\  n_{4} =20+3 \\ n_{4}=23
3 0
3 years ago
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