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3 years ago

Helpppppppppppppppp!!!!

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer:

69π m^2

Step-by-step explanation:

surface area of cylinder= 2πrh+2πr^2

However, the cylinder is open top

Therefore, the outer surface area of the cylinder

=2π(6/2)(10)+π(3)^2 m^2

=60π+9π m^2

=69π

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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

Are 2/3 and 6/8 equivalent?

miskamm [114]

No they are not, 6/8 could also be represented as 3/4. Therefore they are not equivalent. You would divide each side by the factor they have in common such as 2.

7 0

4 years ago

The distance from Earth to Pluto is about 5,750,000,000 km. How many light-years is this?

maks197457 [2]

Answer:

The average distance between Earth and Pluto is same as average distance of Pluto from the Sun. This is 0.000628 light years, nearly.

Explanation:

The average distance obetween two planets is nearly the average distance of the outer planet from the Sun. Earth is inner to Pluto. Average Sun-Pluto distance = 5906.4 million km. Divide by 149597870 to get distance in Au. Further divide by 62900 to get distance in ly.

4 0

3 years ago

I just need someone to explain how to do it

Mashutka [201]

You just need to substitute the the given function. So if f(-8) then you fill in f(n)=2n+4 which would be f(-8)=2(-8)+4. Which is -12.

hope this helps !

7 0

4 years ago

Given that<br> a = 2,5= 2 and C = -1<br> work out<br> 2b – 3ac

poizon [28]

Step-by-step explanation:

2b-3ac

=2×2-3×2×(-1)

= 4+6

=10

6 0

3 years ago