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FinnZ [79.3K]
3 years ago
13

What is 15 : 27 in simplest form as a ratio

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

5 : 9

Step-by-step explanation:

We have to divide both 15 and 27 by 3

(15 : 3) = 5

(27:3) = 9

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Consider the following.
san4es73 [151]

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Anything in the form x = pi+k*pi, for any integer k

These are not removable discontinuities.

============================================================

Explanation:

Recall that tan(x) = sin(x)/cos(x).

The discontinuities occur whenever cos(x) is equal to zero.

Solving cos(x) = 0 will yield the locations when we have discontinuities.

This all applies to tan(x), but we want to work with tan(x/2) instead.

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x/2 = arccos(0)

x/2 = (pi/2) + 2pi*k or x/2 = (-pi/2) + 2pi*k

x = pi + 4pi*k   or    x = -pi + 4pi*k

Where k is any integer.

If we make a table of some example k values, then we'll find that we could get the following outputs:

  • x = -3pi
  • x = -pi
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and so on. These are the odd multiples of pi.

So we can effectively condense those x equations into the single equation x = pi+k*pi

That equation is the same as x = (k+1)pi

The graph is below. It shows we have jump discontinuities. These are <u>not</u> removable discontinuities (since we're not removing a single point).

3 0
3 years ago
Solve For H ---I&gt; A=1/2(B₁+B₂)h
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Answer:

  • h = 2A/(B₁+B₂)

Step-by-step explanation:

<u>Given equation</u>

  • A=1/2(B₁+B₂)h

<u>Solving for h</u>

  • A=1/2(B₁+B₂)h
  • 2A = (B₁+B₂)h
  • 2A/(B₁+B₂)= h
  • h = 2A/(B₁+B₂)

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3 years ago
If x=2, y=3 and z=1 then find the value of <br><br>1/2 x + 3/4 y
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2+2=20200303040999op
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2 years ago
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