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Bess [88]
3 years ago
8

Let log P/N=5 and log M/N=9 what is the relationship between P and M?

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
 we know that

log (P/N) = log P - log N
so
log P - log N = 5----------------> equation 1

log (M/N) = log M - log N 
so
log M - log N = 9 ------------------> equation 2 

 If you subtract equation 2 from equation 1,
you have
log M - log P = 4  
That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P

the answer is
the relationship between P and M is 
M = 10000P
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Answer:

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3 years ago
PLZ HELP
Alex

Answer:

The correct option is C ) 109.5°

Therefore,

m\angle E=109.5\°

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}

Substituting the values we get

\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}

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Therefore,

\angle E=\cos^{-1}(-0.3333)

m\angle E=109.5\°       ............As it is in Second Quadrant

Therefore,

m\angle E=109.5\°

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