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1 year ago

Find the area please help quickly

Mathematics

1 answer:

yulyashka [42]1 year ago

3 0

Answer:

4402m²

Step-by-step explanation:

71 × 62 = 4402m²

[this is because if you straighten it, it's a square so you can find the area using what you know of the square]

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a moving company is hired to take 578 clay pots to a florist shop. the florist will pay the moving company a $200 fee, plus $1 f

mariarad [96]

Answer:

772 and they have to pay 24

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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,

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

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

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3 years ago

Write 7/14 • (-7/12) in lowest terms

Marizza181 [45]

The final answer should be -49/168.

3 0

3 years ago

What's 3 divided by 16

AlekseyPX

3/16= 0.1875
Though if you mean 16/3 it is 5.333.....

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3 years ago

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Builtrite has calculated the average cash flow to be $12,000 with a standard deviation of $4,500. What is the probability of a c

UkoKoshka [18]

Answer:

Step-by-step explanation:

Use the normcdf( function on a basic calculator as follows:

normcdf(-1000, 9750, 12000, 4500). Result: 0.307. This is the area under the standard normal curve to the left of 9750.

But we want the area under the standard normal curve to the right of 9750, so we subtract this 0.307 from 1.000, obtaining the desired result: 0.693. This roughly corresponds with the last of the given possible answers, 69.15%.

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3 years ago