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4 years ago

Trig Please help

Mathematics

1 answer:

9966 [12]4 years ago

3 0

Answer:

3:2

Step-by-step explanation:

ratio of areas = (ratio of sides)²

36/16 = (ratio of sides)²

Square root both sides

ratio of sides = 6/4

6/4 = 3/2

Ratio of sides is

6 : 4

3 : 2

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3 years ago

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Population are often modelled by exponential functions

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$P(x) = 692600 \times 1.014^x$

When the population reaches 1000000 people, we have:

P(x) = 1000000

So, the equation becomes

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$log(1.444)=log(1.014)^x$

Apply logarithm to both sides

$log(1.444)=xlog(1.014)$

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Solve the logarithms of 1.444 and 1.014

$x = \frac{0.15957}{0.00603}$

Divide

$x = 26.5$

The value of x, is the number of years the population reaches 1000000 people.

Hence, the population will reach 1000000 people after 26.5 years