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Vedmedyk [2.9K]
3 years ago
9

Please help me with 8, 9, and 10 thanks! Show work too

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.

8. hypotenuse / (short side) = 25/x = x/9
  x² = 25*9 = 5²×3²
  x = √(5²×3²) = 5*3 = 15

9. (long side) / (short side) = x/7 = 9/x
  x² = 7*9
  x = √(9*7) = 3√7

10. (short side) / (long side) = x/48 = 48/64
  x = 48²/64 = 36
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N is inversely proportional to t and when t is 36 ,N is176 .
sergeinik [125]

Answer:

The answer is below

Step-by-step explanation:

N is inversely proportional to t, therefore:

N ∝ 1/t

Let k be the constant of proportionality, hence we can replace the relationship by:

N = k/t

Given that when t is 36, N is 176. Therefore we can find the value of k:

176 = k / 36

k = 176 * 36 = 6336

N = 6336/t

Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:

N = 6336/6

N = 1056

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