N is inversely proportional to t and when t is 36 ,N is176 .

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

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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List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

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So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

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Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter