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Anarel [89]
3 years ago
5

Katana has a shelf that is 5 feet long.She wants to paint a design along 7/10 of the shelf. How many feet of the shelf will kata

na paint a design
Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer:

3.5 or 3 1/2 feet of the shelf

Step-by-step explanation:

masya89 [10]3 years ago
8 0

Answer:

3.5 feet

Step-by-step explanation:

5 ft x 7/10 = 35/10 =3.5 feet

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Find e^cos(2+3i) as a complex number expressed in Cartesian form.
ozzi

Answer:

The complex number e^{\cos(2+31)} = \exp(\cos(2+3i)) has Cartesian form

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Step-by-step explanation:

First, we need to recall the definition of \cos z when z is a complex number:

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Then,

\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}. (I)

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e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)

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e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2.

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\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right].

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