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Slav-nsk [51]
3 years ago
9

Classifying triangles​

Mathematics
2 answers:
MArishka [77]3 years ago
6 0

Answer:

What you are looking at is a scalene triangle!

Step-by-step explanation:

By definition scalene triangles are triangles where each side is a different length... hope this one helps you!

Feliz [49]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Because all its corners are below 90 degrees

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What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFract
fgiga [73]

Answer:

|z| = 27 -- Modulus

\theta = \frac{\pi}{3} --- Argument

Step-by-step explanation:

Given

((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6

Required

Determine the modulus and the argument

We have that:

z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6

Expand:

z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6

z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6

A complex equation can be expressed as:

z = |z| e^{i\theta}

Where

|z| = modulus

\theta = argument

Where

e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})

So:

z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6 becomes

z = 27(e^{i\frac{\pi}{18}})^6

By comparison:

e^{i\theta} = (e^{i\frac{\pi}{18}})^6

This gives:

{i\theta} = i\frac{\pi}{18}}*6

{i\theta} = i\frac{6\pi}{18}}

{i\theta} = i\frac{\pi}{3}}

Divide through by i

\theta = \frac{\pi}{3}

Hence, the modulus, z is:

|z| = 27

And the argument \theta is

\theta = \frac{\pi}{3}

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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I am an even number. I am less than 100. The sum of my digits is 15. I am a multiple of 12. What number am​ I?
Svetllana [295]
96
96 is less than 100
12×8=96
9+6=15
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