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katrin [286]
3 years ago
10

five sides of a decagon each measure 3 in , the perimeter of the decagon is 40 in, what is the link of each remaining side, if e

ach remaining side has the same length.
Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
The remaining lengths are equal to 5 inches
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Use a spinner to find the theoretical probability of spinning an even number. What is the theoretical probability of spinning an
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4/8

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The area of triangle ABC is _____.
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Using Heron's Formula we can find the area of the triangle.
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4 years ago
A rectangle has a length of (x+4) feet and a width of (+7) feet. The expression 2(x+4)+2(x+7) represents the perimeter of the re
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Nina [5.8K]

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

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

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

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3 years ago
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