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2 years ago

What is the length of the missing leg? If necessary, round to the nearest tenth.

Mathematics

2 answers:

posledela2 years ago

5 0

Answer:

7.4 miles

Step-by-step explanation:

in a right yriangle, you can use the Pythagorean theorem to find the length of a missing side. 8^2-3^2= 64 - 9 =55. The square root of 55 is approximately 7.4.

Nata [24]2 years ago

5 0

Answer:

a = 7.4

Step-by-step explanation:

We can find 'a' through Pythagoras theorem.

=> 8² = 3² + a²
=> 64 = 9 + a²
=> a² = 55
=> a = √55
=> a = 7.416 = 7.4

Hoped this helped.

$BrainiacUser1357$

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

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