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3 years ago

Express sin T as a fraction in simplest terms.

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

sinT = $\frac{15}{17}$

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT = $\sqrt{1156}$ = 34 , then

sinT = $\frac{opposite}{hypotenuse}$ = $\frac{RS}{RT}$ = $\frac{30}{34}$ = $\frac{15}{17}$

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Step-by-step explanation:

Given the following set of functions

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3 years ago

n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

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Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

$A=2400 e^{0.0168\times 20}$

$=2400 e^{0.336}$

$= 3358.4136$

$\approx 3358$

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3 years ago