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natta225 [31]
2 years ago
15

Please help 20 points

Mathematics
2 answers:
zhannawk [14.2K]2 years ago
8 0

Answer:

10000

Step-by-step explanation:

grandymaker [24]2 years ago
8 0

Answer:

10,000

Step-by-step explanation:

The 4 stands for how many zeros you will put in, therefore you have 10,000 because you have 4 zeros in your number.

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Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360
Natasha2012 [34]

\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]

\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

   \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]

5 0
3 years ago
NEED HELP SHOW WORK WILL GIVE BRAINLYEST
hodyreva [135]
It would be 14 for the perimeter
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almond37 [142]
1/2 because when you divide by 1/2 you get 1/6 , if you do the problem backwards you get 1/6

6 0
3 years ago
Read 2 more answers
The distance from your house to the ice cream shop is 12 miles. Your best friend’s house is on the segment between your house an
Rus_ich [418]
Your house                      Friend's House               Ice cream house
Ф⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒12 miles
                                              Ф⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ 3 miles
Ф⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ ?

The distance of your house to your friend's house is 9 miles.

12 miles - 3 miles = 9 miles.
7 0
3 years ago
The mean is:
nata0808 [166]

Answer:

A

Step-by-step explanation:

Because the mean has to describe

4 0
3 years ago
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