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just olya [345]
3 years ago
7

What is the volume?

Mathematics
1 answer:
jeyben [28]3 years ago
6 0
6.46 cubic centimeters
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Find the trigonometric form of the number 3 + √3i.
sattari [20]

Any complex number z can be written in trigonometric form as

z = |z| e^{i\arg(z)} = |z| \left(\cos(\arg(z)) + i \sin(\arg(z))\right)

where |z| is the modulus of z and \arg(z) is its argument, i.e. the angle z makes with the positive real axis in the complex plane.

We have

|z| = \sqrt{3^2 + \left(\sqrt3\right)^2} = \sqrt{12} = 2\sqrt3

and

\arg(z) = \tan^{-1}\left(\dfrac{\sqrt3}3\right) = \tan^{-1}\left(\dfrac1{\sqrt3}\right) = \dfrac\pi6

Then

3 + \sqrt3 \, i = \boxed{2\sqrt 3 \left(\cos\left(\dfrac\pi6\right) + i \sin\left(\dfrac\pi6\right)\right)}

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2 years ago
A taxi costs $1.65 for the first mile and $0.85 for each additional mile. Which equation could be solved to find the number x of
andreyandreev [35.5K]
20=.85x+1.65
Is the this the equation
7 0
3 years ago
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What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?
nataly862011 [7]

Answer:

The area of the base is 14.5π in²

Step-by-step explanation:

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

  • Hope this helps
  • Brainliest plz
  • and have a wonderful day
8 0
4 years ago
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Select and use the most direct method to solve 2x(x + 1.5) = -1.
slavikrds [6]

Answer:

Step-by-step explanation:

8 0
4 years ago
Please help thank you!
kirill [66]
Question 1:

Look at the image. 

First, we graph the points on a grid.

Then, we find the perpendicular bisectors and find where they intersect.

They intersect on the circumcenter of the triangle.

The circumcenter is (5,3)

Question 2:

The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.

Question 3:

The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.

Have an awesome day! :)

3 0
3 years ago
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