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s344n2d4d5 [400]
3 years ago
10

Solve the polygon for x

Mathematics
1 answer:
wariber [46]3 years ago
4 0
  • Octagon has sum of angles 1080°

\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080

\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080

\\ \rm\Rrightarrow 84x+72=1080

\\ \rm\Rrightarrow 84x=1008

\\ \rm\Rrightarrow x=1008/84

\\ \rm\Rrightarrow x= 12

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The population of a town has approximately doubled every 17 years since 1950. If the equation P=Po2k, where Po is the population
natka813 [3]

The population of a town has approximately doubled every 17 years since 1950.

the equation P=P_02^k where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.

When t=17 yrs

   P=2p_{0}      

for 1 year

The equation becomes

P = P_02^\frac{t}{17}                               -------------(1)

Our original equation is

P=P_02^k----------------------------------(2)

equating expression 1  and 2

P_02^\frac{t}{17}=P_{0}2^k

Cancelling P_{0}  from both sides  we get

2^\frac{t}{17}=2^{k}

t/17=k

⇒k=t/17 is the solution.






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adoni [48]
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Interquartile Range- 31

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