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Sloan [31]
2 years ago
15

What is the cross section of a cylinder that is perpendicular to the base through the center?

Mathematics
2 answers:
never [62]2 years ago
8 0

Answer:

rectangle

Step-by-step explanation:

The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

Tju [1.3M]2 years ago
7 0

The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

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Please Help!!<br><br>Use Euler’s formula to write in exponential form.
LekaFEV [45]

Answer:

C, 4e^{i(7\pi/4)}

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

e^{ix}=\cos{x}+i\sin{x}

Given the complex number 2\sqrt{2}-2i\sqrt{2}, we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression 2(\sqrt{2}-i\sqrt{2})

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression 4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right) , and <em>now </em>we have something to work with.

Looking back at Euler's formula e^{ix}=\cos{x}+i\sin{x}, we can map our expression inside the parentheses to the one on the right side of the formula, giving us \cos{x}=\frac{\sqrt2}{2} and \sin{x}=-\frac{\sqrt2}{2}, or equivalently:

\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so x=\frac{7\pi}{4}, and we can finally replace our expression in parentheses with its exponential equivalent:

4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}

Which is c on the multiple choice section.

4 0
3 years ago
What is the name of the property given below ? If ab = 0 then a = 0 , b = 0 or both a = 0 and b = 0 . A. Zero property B. Distri
FromTheMoon [43]

Answer:

c. zero product rule

Step-by-step explanation:

apex

3 0
3 years ago
Si una persona tiene que convivir 80 años y proyecta a terminar sus estudios cuanto tengo 1/3 de los años que vivirá. ¿A que eda
MakcuM [25]

Answer:

terminan sus estudios cuando tienen 26 años y 2/3 años de edad

7 0
3 years ago
Read 2 more answers
In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 6°
amid [387]

Answer:

<A = 18.6 Degree

<B =74.4 Degree

<C = 87 Degree

Step-by-step explanation:

Sum of all the angles of triangle is 180

as given ,

<A = ?

<B = 4<A

<C = 5 <A - 6

As per rule ,

<A + <B +<C = 180

<A + 4 <A + 5<A - 6 = 180

10 <A - 6 = 180

10 <A = 180 + 6

<A = 186 / 10

<A = 18.6 Degree

Hence ,

< B =  4 X (18.6)

< B = 74.4 Degree

and

<C = 5 (18.6) - 6

<C = 87 Degree

PROOF

<A + <B + <C = 180

18.6 + 74.4 + 87 = 180

180 = 180

4 0
3 years ago
Which expression will simplify to 1? Assume m ≠ 9 and m ≠ -9.
nignag [31]

Answer:

B(m+9/m-9) (m-9/m+9)

7 0
2 years ago
Read 2 more answers
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