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shepuryov [24]
2 years ago
7

Which pair of rectangles is similar ? A 3,8 and 2,6

Mathematics
1 answer:
ipn [44]2 years ago
4 0
D because they are equal the same if you do 3×6=18 and 2×9=18
They have the same area amount.
~JZ
Hope it helps
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Can someone please help explain 3/24 = 33/?
sweet [91]

Answer:

264

Step-by-step explanation:

because 33 is 11 times 3 so you multiply the 24x11 equal 264

33/264

8 0
2 years ago
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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

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

Step-by-step explanation:

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

\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}.

Then,

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

Now, recall the definition of the complex exponential:

e^{z}=e^{x+iy} = e^x(\cos y +i\sin y).

So,

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

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

Thus,

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

Now we group conveniently in the above expression:

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

Now, substituting this equality in (I) we get

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

Thus,

\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].

5 0
2 years ago
A group of 4 friends likes to bowl together, and each friend keeps track of his all-time highest score in a single game. Their h
andre [41]
I believe C is the answer, hope this helps!
4 0
2 years ago
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Evaluate t-u/v when t=2 u=(-8) v(-1/2)
Dovator [93]
Simple, plug n chug...

t- \frac{u}{v}

t=2

u=-8

v=-0.5

Now, plug in what you have,

2- \frac{-8}{-0.5}

\frac{-8}{-0.5} =16

Now,

2-16=-14

Thus, your answer, -14.
5 0
2 years ago
It took six people four days to build a wall.
Sever21 [200]

Answer:

a=5 days, 3 hours

b= 3 people

7 0
2 years ago
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