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3 years ago

What is the standard form of (1+2√-3)/(1+√-3)

Mathematics

2 answers:

miv72 [106K]3 years ago

7 0

1.75+0.43301270i
hope this helped and let me know if i was right plz

ExtremeBDS [4]3 years ago

3 0

Answer:

$\frac{7}{4} +\frac{3}{4} i$

Step-by-step explanation:

$(1+2\sqrt{-3} )/(1+\sqrt{-3})$

To remove the negative sign from square root use 'i'

square root (-1) is 'i'

$\frac{1+2\sqrt{3}i}{1+\sqrt{3}i}$

Multiply top and bottom by conjugate of $(1+\sqrt{3}i)$

Conjugate of $(1+\sqrt{3}i)$ is $(1-\sqrt{3}i)$

Multiply it at the top and bottom

$\frac{1+2\sqrt{3}i}{1+\sqrt{3}i} \cdot \frac{1-\sqrt{3}i}{1-\sqrt{3}i}$

Multiply numerator and denominator using FOIL method

$\frac{1-\sqrt{3}i+2\sqrt{3}i-3i^2}{1+3}$

the value of i^2 is -1

$\frac{1+\sqrt{3}i-6(-1)}{4}$

$\frac{1+\sqrt{3}i+6}{4}$

$\frac{7+\sqrt{3}i}{4}$

$\frac{7}{4} +\frac{3}{4} i$

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For Tran thank you appreciate it

Anestetic [448]

Step-by-step explanation:

Let alpha be the unknown angle. We can set up our sine law as follows:

$\frac{ \sin( \alpha ) }{5 \: m} = \frac{ \sin(42) }{3.6 \: m }$

$\sin( \alpha ) = \frac{5 \: m}{3.6 \: m} \times \sin(42) = 0.929$

Solving for alpha,

$\alpha = arcsin(0.929) = 68 \: degrees$

3 0

2 years ago

4/f + 11 =29 what does f =

Delvig [45]

$\frac{4}{f} + 11 = 29$

First, subtract '11' from each side.
$\frac{4}{f} = 29 - 11$

Second, subtract '29 - 11' to get '18'.
$\frac{4}{f} = 18$

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
$4 = 18f$

Fourth, once again, we need to get 'f' alone. Divide both sides by 18.
$\frac{4}{18} = f$

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
$4 \div 2 = 2 \\ 18 \div 2 = 9$

Seventh, we can now rewrite our fraction in simplest form and switch sides.
$f = \frac{2}{9}$

Answer in fraction form: $\fbox {2/9}$
Answer in decimal form: $\fbox {0.2222}$

7 0

3 years ago

Read 2 more answers

Select the correct answer.

gtnhenbr [62]

Answer:

5 years

Step-by-step explanation:

To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.

y = x^6 − 9x^4 + 70x^2

630 = x^6 − 9x^4 + 70x^2

Solving for x, we will have

x = 4.8866 years or approximately 5 years

Hope this answer helps you :)

Have a great day

Mark brainliest

7 0

2 years ago

Help please I don’t understand

Zanzabum

Answer: 2/3

Step-by-step explanation:

there are 24 pets total (count all of the dots on the plot)

16 students have 2 or more pets (count the dots from point 2 until 6)

your fraction is 16/24

16/24 is 2/3 simplified

hope this helps

8 0

3 years ago

A path 2.5m wide is running outside a square field whose side is 45m. Determine the area of the path.

aliya0001 [1]

Answer:

The area of the path would be 231.25 squared meters.

Step-by-step explanation:

Consider the path as 45m (the field's area), then add 2.5m to all of the sides. You'll get 47.5m on all sides. Then you do 47.5² to get 2256.25 squared meters. After that, you'll remove the area of the squared field. To do this, do 45m². By doing this, you'll get 2025 squared meters. Lastly, to finish up the question, do 2256.25 - 2025. This would get you 31.25 squared meters, the answer.

4 0

3 years ago