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4 years ago

alden walked 2 miles in 3/4 hours .kira walked 1 3/4 miles in 30 minutes? who walked at a faster rate?

Mathematics

1 answer:

MissTica4 years ago

7 0

Kira did because by the time she walked for 45 minutes, she would be above 2 miles

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3 fractions greater than 0 and less than 1

Tems11 [23]

Answer:

3/5 , 2/3 , 5/6

Step-by-step explanation:

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4 years ago

Read 2 more answers

1. Graph the system of inequalities 2x+3y 32 x+2y<2 Please help?

dybincka [34]

Answer:

2x+3y . 32 = 2x + 96y

x+2y<2 = 2x +96y

Step-by-step explanation:

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3 years ago

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

What is 7.5 - 1.5 x 3?

denpristay [2]

3 answer gotta be longer

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3 years ago

Read 2 more answers

Write the fraction as an equivalent fraction with the given denominator. 5/6= /18

Troyanec [42]

Answer:

Step-by-step explanation:

18 ÷ 6 = 3

5 * 3 = 15

5/6 * 3/3 = 15/18

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3 years ago