Bryon drives from his house to the gas station and then to the market .how many miles does he drive in all (gas station 3, 8) ,…(bryons house 8, 8),…(market 3, 3) Answers

12 miles
10 miles
9 miles
14 miles

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Ответ:

fjdkj

29.08.2021

Mathematics

$cos(\theta)=\frac{\sqrt{21}}{5}$

Step-by-step explanation:

we have that

The angle $\theta$ belong the the First Quadrant (see the figure)

$cos(\theta)\ and\ sin(\theta)$ are positive values

we know that

$sin^2(\theta)+cos^2(\theta)=1$ ----> trigonometric identity

we have

$sin(\theta)=\frac{2}{5}$

substitute in the identity

$(\frac{2}{5})^2+cos^2(\theta)=1$

$cos^2(\theta)=1-\frac{4}{25}$

$cos^2(\theta)=\frac{21}{25}$

square root both sides

$cos(\theta)=\frac{\sqrt{21}}{5}$

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Bryon drives from his house to the gas station and then to the market .how many miles does he drive in all (gas station 3, 8) ,…(bryons house 8, 8),…(market 3, 3) Answers 12 miles 10 miles 9 miles 14 miles