2 years ago

Find the area of following triangle ___________

Mathematics

1 answer:

Lilit [14]2 years ago

7 0

Answer: 8.8 cm^2

Step-by-step explanation:

The figure is a parallelogram and the area formula for it is bxh,

so bxh = 2cm x 4.4cm = 8.8cm^2

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

8x^3y^4-22x^5y^6 gcf

schepotkina [342]

Don't trust those link my cuz

5 0

2 years ago

Find the 4th term <br><br> Thank you in advance

shepuryov [24]

B1 = 2
b2 = (b1)^2 + 1 = 2^2 + 1 = 5
b3 = (b2)^2 + 1 = 5^2 + 1 = 26

b4 = (b3)^2 + 1 = 26^2 + 1 = 676+1=<span>677</span>

7 0

3 years ago

Read 2 more answers

As a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How l

harina [27]

Multiply it and you get the answer

3 0

3 years ago

Miguel borrowed $825 for a new couch. He will make 9 monthly payments of $95 to repay the loan. How much will he pay in interest

Leona [35]

Answer:

$30 is paid in interest.

Step-by-step explanation:

The couch costs $825 and Miguel will pay 9 * $95 = $855. So the amount of interest paid is how much in total was paid $855 minuse the cost of the couch $825, or $855-$825 = $30 in interest

3 0

2 years ago