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3 years ago

Need help on this question please!

Mathematics

1 answer:

Alja [10]3 years ago

4 0

Answer: she made 11 sparkelers and gavin made 21

Step-by-step explanation:

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What is the equation of a circle with a center at (-5,-1) and radius of 6 units?

Karo-lina-s [1.5K]

The second option is right

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3 years ago

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

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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

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

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

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

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

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3 years ago

Find the area of this figure. use 3.14 for pi.

Ganezh [65]

The square would be 100.
The semicircle you will use the formula πr^2/2.
That would mean you would take the 3.14x5^2/2.
(3.14x5x5)/2
(3.14x25)/2
78.5/2
=39.25
So the total area would be 139.25

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3 years ago

Find the area of the shape

Gwar [14]

Answer:

3pi

Step-by-step explanation:

First find the area of the entire circle

A = pi r^2

A = pi * 2^2

A = 4 pi

We know that this is 3/4 of a circle so multiply the area by the fraction of the circle

3/4 * 4 pi

3 pi

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3 years ago

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Answer:

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Step-by-step explanation:

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