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3 years ago

15

If 1 inch is 6.5 feet then how many feet are in 9.75 inches?

2 answers:

Inessa05 [86]3 years ago

6 0

You would do 6.5 x 9.75 so the answer is 63.375 ft

Semenov [28]3 years ago

4 0

Answer:

63.375 ft.

Step-by-step explanation:

Just multiply 6.5 by 9.75

6.5 feet × 9.75 feet = 63.375 feet

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Identify the vertex of the function graphed below.

saw5 [17]

(3,-2) is the vertex

7 0

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,

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

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

5 0

3 years ago

Ms. Bergstedt asked two students to come up with two different sequences. Jay created this sequence: The first term is 4 and eac

kumpel [21]

I think you subtract in both.

8 0

4 years ago

Read 2 more answers

What is the factorization of the following trinomial? 15x2 - 44x - 36

BartSMP [9]

$15x^2-44x-36$

$=(15x^2+10x)+(-54x-36)$

factor out 5x from $15x^2+10x = 5x(3x+2)$

Factor out -18 from $-54x-36 = -18(3x+2)$

$=5x(3x+2)-18(3x+2)$

Factor out common term $(3x+2)$

$= (3x+2)(5x-18)$

hope this helps!

7 0

3 years ago

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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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