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1 year ago

What is 3/10 of 1/2 metre and why?

Mathematics

1 answer:

jek_recluse [69]1 year ago

6 0

Answer:

15 cm or .15 m

Step-by-step explanation:

1 meter is 100 cm

1/2 m = 50 cm

3/10 of this = 3/10 * 50 = 15 cm or .15 m

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8x+12=4(3+2x)<br><br> Show your work please

marysya [2.9K]

Answer:

8x + 12 = 12 + 8x

0 = 0

Step-by-step explanation:

Distribute then simplify

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2 years ago

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If (a, -5) is a solution to the equation 3a = -2B - 7, what is a?

Andrew [12]

I think what you need to do is make B = -5
3a = -2(-5) - 7
3a = 10 - 7
3a = 3
a = 1

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3 years ago

PLZ HELP FREE POINTS AND BRAINLEIST how can the direction part of a vector be expressed as a number

REY [17]

Answer:add an equation to the magnitude

Step-by-step explanation:

apply a given equation to find the magnitude

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3 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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2 years ago

What is 0.561 rounded to the nearest tenth

garri49 [273]

The answer would be 0.6. hope that helped

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2 years ago

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