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2 years ago

Which statements are true of the quadrilateral she constructed? Select three options.

Mathematics

1 answer:

allochka39001 [22]2 years ago

5 0

Answer:

the 2nd one, 3rd one, and 5th one

Step-by-step explanation:

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Find the exact value of tan(pi/12) using the sum and difference formulas

kari74 [83]

Π/12 is half of π/6, which is 30 degree
tan(α/2)=(1-cosα)/sinα)
plug in the values: tan(π/12)=(1-cosπ/6)/sin(π/6)=(1-√3/2)/(1/2)=2-√3

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2 years ago

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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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2 years ago

if a set covers a range of points, including those between isolated points, and cannot be written as a list, it is called

Trava [24]

If a set covers a range of points, including those between isolated points and can not be written as a list, it is called continuous set. Continuous set are not restricted to defined separate values, they can occupy any value over a continuous range.

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3 years ago

What is the ratio of the corresponding side lengths? 4:9 4:2 26:26 4.5:2

Evgen [1.6K]

Answer:

4:2

Step-by-step explanation:

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3 years ago

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Which amount is largest? 100 g 1 kg 1,000 mg 1 dg

Maksim231197 [3]