All categories

3 years ago

Simplify 6 / (7+3i).

Mathematics

2 answers:

Helen [10]3 years ago

6 0

Answer:

21/29 - 9/29<em>i</em>

user100 [1]3 years ago

5 0

Answer:

To simplify the following expression: 6 / (7+3i), we're going to multiply and divide the entire expression by (7+3i), as follows:

$\frac{6 (7-3i)}{ (7+3i)(7-3i)} = \frac{42-18i}{58} = 0.72 - 0.31i$

Now, the denominator has NO imaginary numbers.

You might be interested in

Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 brick

ozzi

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

5 0

2 years ago

KHAN ACADEMY! PLEASE HELP!

Brilliant_brown [7]

Answer:

60 degrees

Step-by-step explanation:

First find angle I by using the sum of the angles in a triangle is 180 degrees

59+61+I = 180

120 + I = 180

I = 180-120

I =60

<I = <x since they are corresponding angles

<x = 60 degrees

3 0

3 years ago

Nick walked 3/4 of a mile in 12 minutes.How long would it take him to walk three miles at this pace

Gekata [30.6K]

Answer:

48 minutes

Step-by-step explanation:

First do 3 divided by 3/4 and that gives you 4. Then multiply 4 by 12 and you get 48.

4 0

2 years ago

Read 2 more answers

During the early part of the 1994 baseball season, many sports fans and baseball players noticed that the number of home runs be

natta225 [31]

Complete Question

The picture of the stem plot National and American League is shown on the first uploaded image

Answer:

The value is $\= x = 50.14$

Step-by-step explanation:

From the question we are told that

The stem plot for National League is

$2\ \ \ \ \ 9\\3\ \ \ \ \ 1 \\4\ \ \ \ \ 2\ 6\ 7\ 8\ 8\\5 \ \ \ \ \ 3\ 5\ 5\ 5\\6 \ \ \ \ \ 3\ 3\ 7\\7$

The sample size is n = 14

Generally the stem plot is interpreted in this manner

The numbers on the first column represents the tens of a two digit number while the second column holds the possible unit number the tens in the first column can be combined with

for example 4th row

5 3 5 5 5

is equivalent to

53 55 55 55

Generally the mean for the national league is mathematically represented as

$\= x = \frac{29 + 31 + \cdots + 67}{14}$

=> $\= x = \frac{702}{14}$

=> $\= x = 50.14$

4 0

3 years ago

For Emily’s birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ord

kykrilka [37]

Answer:

58.25

Step-by-step explanation:

C is the total cost of the meal, fifty-eight dollars and twenty-five cents.

First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.

To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.

Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.

Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.

Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.

Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.

And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.

Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

4 0

2 years ago

Read 2 more answers