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nasty-shy [4]
3 years ago
8

Agent Bourne transferred classified files from the CIA mainframe into his flash drive. The drive had 3 6 . 5 36.536, point, 5 me

gabytes on it before the transfer, and the transfer happened at a constant rate. After 1 2 5 125125 seconds, there were 5 4 9 549549 megabytes on the drive. The drive had a maximum capacity of 1 0 0 0 10001000 megabytes.
Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

The speed of the transfer is 4.1 megabytes per second.

It took 235 seconds for the drive to be completely filled.

Hope this helps!

BaLLatris [955]3 years ago
7 0
I'm not sure what the question is.

Given:
Flash drive capacity 1,000 megabytes
Initial content before transfer of files 36.5 megabytes

After 125 seconds, there were 549 megabytes on the drive.

549 - 36.5 = 512.5 megabytes is the weight of the transferred files.

512.50 megabytes / 125 seconds =  4.1 megabytes per second

The rate of transfer is 4.10 megabytes per second.

1000 - 549 = 451 megabytes free space.

451 megabytes / 4.1 megabytes per second = 110 seconds

It would take an additional 110 seconds to completely fill up the flash drive.

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prove that sin theta cos theta = cot theta is not a trigonometric identity by producing a counterexample
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Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Begin with the right hand side:

R.H.S = cot θ = \frac{cos \ \theta}{sin \ \theta}

L.H.S = sin θ cos θ

so, sin θ cos θ ≠ \frac{cos \ \theta}{sin \ \theta}

So, the equation is not a trigonometric identity.

=========================================================

<u>Anther solution:</u>

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

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3 years ago
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Step-by-step explanation:

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