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Digiron [165]
3 years ago
7

About 60% of human bodies is water at this rate how many pounds of water are in the body of a 95 pound person

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
10% of 95 = 9.5
9.5 x 6 = 57
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Use DeMoivre's Theorem to find the following. Write your answer in<br> standard form.
valina [46]

Answer:

Option C.

Step-by-step explanation:

The given expression is

\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5

It can be rewritten as

\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5

According to De moivre's Theorem:

[r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)

Using De moivre's Theorem, we get

(\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)

=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)

=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)

=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)

=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)

=4+4i

Therefore, the correct option is C.

5 0
3 years ago
Other answer is 148 degrees but I need help
IrinaK [193]

Answer:

122˚

Step-by-step explanation:

1. Visual estimation

∠BXD is obtuse so ∠BXD > 90˚

7 0
3 years ago
Find the value of x in each quadrilateral.
elena-14-01-66 [18.8K]

If i am correct, these values should add to 360, so I do it by

140 + 110 + 62 = 312

360 - 312 = 48

So the value of the last side must equal 48.

Your answer would be x = -9. Proof:

If 9 is filled in, you would have

(3 - 5(-9))

(3 - (-45))

48

Then

48 + 140 + 110 + 62 = 360!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

4 0
4 years ago
The quarter note is the note with the shortest duration.<br> True<br> False
IrinaK [193]

Answer:

false

Step-by-step explanation:

A 256th note is known as a demisemihemidemisemi quaver

3 0
3 years ago
Read 2 more answers
What number should be added to both sides to complete the square? x^2 + 8x = 4
son4ous [18]

Answer:

16

Step-by-step explanation:

x² + 8x = 4 ⇔ x² + 8x + 16 = 4 + 16 ⇔ x² + 2×4x + 4² = 20 ⇔ (x + 4)² = (2√5)²

Remark : (2√5)² = 20

8 0
3 years ago
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