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In Mathematics / College | 2025-08-20

Given [tex]w=\sqrt{2}\left(\cos \left(\frac{\pi}{4}\right)+i \sin \left(\frac{\pi}{4}\right)\right)[/tex] and [tex]z=2\left(\cos \left(\frac{\pi}{2}\right)+i \sin \left(\frac{\pi}{2}\right)\right)[/tex], what is [tex]w-z[/tex] expressed in polar form?

A. [tex]\sqrt{2}\left(\cos \left(\frac{\pi}{4}\right)+i \sin \left(\frac{\pi}{4}\right)\right)[/tex]
B. [tex]\sqrt{2}\left(\cos \left(\frac{3 \pi}{4}\right)+i \sin \left(\frac{3 \pi}{4}\right)\right)[/tex]
C. [tex]\sqrt{2}\left(\cos \left(\frac{5 \pi}{4}\right)+i \sin \left(\frac{5 \pi}{4}\right)\right)[/tex]
D. [tex]\sqrt{2}\left(\cos \left(\frac{7 \pi}{4}\right)+i \sin \left(\frac{7 \pi}{4}\right)\right)[/tex]

Asked by laflin44

Answer (2)

6.5%= 6.5/100= 65/1000
38 ∗ 100 6.5 ​ = 38 ∗ 1000 65 ​ = 1 38 ​ ∗ 1000 65 ​ = 1000 2470 ​ = 2.47
The correct answer is: **C. 2.47$
**Greetings, n00nst00p :)

Answered by n00nst00p | 2024-06-10

Freda paid $2.47 in sales tax on an item that cost $38 with a sales tax rate of 6.5%. This was calculated by converting the percentage to a decimal and multiplying it by the cost of the item. Therefore, the answer is C. $2.47.
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Answered by n00nst00p | 2024-12-24