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slavikrds [6]
3 years ago
14

misakis fish tank is half full of water because she is cleaning it the tank is a right rectangular prism with a length of 8 inch

es a width of 6 inches and a height of 6 inches what is the volume of water in the tank while misaki is cleaning it
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

Answer:

288

Step-by-step explanation:

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Use DeMoivre's theorem to evaluate the expression
natima [27]

Answer:

B. \dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}

Step-by-step explanation:

DeMoivre's theorem:

If the complex number z=r(\cos \alpha+i\sin\alpha), then for natural number n

z^n=r^n(\cos n\alpha+i\sin n\alpha).

In your case,

z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)

and you have to evaluate z^4.

By DeMoivre's theorem,

z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.

7 0
3 years ago
A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 ye
Ann [662]

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

3 0
4 years ago
Read 2 more answers
D. Direction: Plot following irrational numbers in the given number line.
Tju [1.3M]

Answer:

<u>Numbers and plot location given below:</u>

<u />

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  4. √60 = 7.7 located between 7.6 and 7.8
  5. √96 = 9.8 located between 9.7 and 9.9
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  7. √22 = 4.7 located between 4.6 and 4.8
  8. √75 = 8.7 located between 8.6 and 8.9
  9. √34 = 5.8 located between 5.7 and 5.9
  10. √57 = 7.5 locate between 7.4 and 7.6
8 0
3 years ago
If the value of x is negative what must be true about 10 - x
Klio2033 [76]
If x is negative, then 10-x must be positive.
for example: let's say x=-1. then 10-(-1)=11
6 0
3 years ago
Hernandez has 17 tomato plants that she wants to plant in rows.she will put 2 plants in some rows and 1 plant in the others.how
RideAnS [48]
Seven, I think. That's what I found somewhere else.
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4 years ago
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