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3 years ago

4n² + 4(4m³ +4n²) please help me out this is confusing ash

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

=16m3+20n2

if u simplify

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What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)

maks197457 [2]

Answer:

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos $\theta$ and y = rsin $\theta$

where r is the modulus of the complex number and $\theta$ is the argument, z in polar form is represented as:

z = rcos $\theta$ + rsin $\theta$

z = r(cos $\theta$ + isin $\theta$ )

z = rcis $\theta$

Given the complex number z=−3+3√3i

r = $\sqrt{x^{2}+y^{2} }$

$r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2} } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6$

$argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg$

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0

3 years ago

Maya open a savings account that pays 3.5% annual interest compounded semiannually.If she deposited $2,000 into the account and

dalvyx [7]

That would be $2,070 because 3.5% of 2000 is 70

4 0

3 years ago

A jar of M&M’s : 24 brown , 13 orange, 15 red , 10 green , 15 yellow , and 10 blue. Jim is blindfolded and will draw a singl

pshichka [43]

Answer: 24/87 or 8/29

Step-by-step explanation:

24+13+15+10+15+10=87, the total amount of M&M's.

24 are brown, so 24/87 chance that he will draw a brown one.

24/87 = 8/29 simplified.

3 0

2 years ago

ANSWER ASAP PLEASE .

ankoles [38]

Answer:

a,d,e and f.

Step-by-step explanation:

hope this helps!

please mark me as brainliest. Thanks!

8 0

3 years ago

The solid below is dilated by a scale factor of 3. Find the volume of the solid created

Klio2033 [76]

The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.

<h3>What is the volume of the dilated solid?</h3>

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

Dimensions of the dilataed solid = 6 x 3 = 18

Volume = 18³ = 5832 units³

To learn more about dilation, please check: brainly.com/question/3457976

3 0

1 year ago