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AleksandrR [38]
2 years ago
14

⁵

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0

9514 1404 393

Answer:

  51

Step-by-step explanation:

The rule gives the sequence ...

  75, 69, 63, 57, 51, 45, ...

The 5th number in the sequence is 51.

__

<em>Alternate solution</em>

The equation for the general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

Your sequence has first term 75 and common difference -6, so the equation is ...

  an = 75 -6(n -1)

Then for n=5, the term is ...

  a5 = 75 -6(5 -4) = 75 -24 = 51

The 5th term is 51.

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Wrich expreson is equivalent to 4(3-6).​
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You haven’t provided any option, however I think I can still help.

You can solve 4(3-6). You first deal with he parenthesis, and get 4(-3). This means that your expression is equivalent to -12.


Hope this helps :)
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8. Solve the following equation. w - 2 = - 3
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Answer:

c. w = -1

Step-by-step explanation:

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If two similar polygons have perimeters of 36 and 21 inches.
jek_recluse [69]

Answer:

91

Step-by-step explanation:

Two similar polygons, means a similarity would exist in both polygons

  • Perimeter of a rectangle = 2(l +w)
  • Perimeter of the larger rectangle = 36 (because it's the largest figure)
  • equation becomes  36 = 2(L + W)
  • since L = 14, it becomes = 36 = 2(14 +W)
  • 36 = 28 + 2W
  • 2W = 36 - 28 = 2w = 8
  • w = 4.

Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length  of smaller rectangle.

  • 21 = 2(L + 4) = 21 = 2L + 8
  • 2L = 21 - 8 = 2L = 13
  • L = 13/2 = 6.5.

lastly the product of the length of both polygons = 14 * 6.5 = 91.

Their Products length is 91

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