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user100 [1]
3 years ago
14

Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?

Mathematics
1 answer:
vekshin13 years ago
4 0
1.8 hours because 6 km is to 3 hours as 10 km is to x hours. So you multiply 3*6 and them divide it by 10
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In a right triangle, angle is an acute angle and sin angle = 4/9. Evaluate the other five trigonometric functions of angle.
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Answer:

Part 1) cos(A)=\frac{\sqrt{65}}{9}

Part 2) tan(A)=4\frac{\sqrt{65}}{65}

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Step-by-step explanation:

Let

A------> the angle

we have that

sin(A)=\frac{4}{9}

step 1

Find the cos(A)

we know that

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step 2

Find the tan(A)

we know that

tan(A)=\frac{sin(A)}{cos(A)}

substitute the values

tan(A)=\frac{\frac{4}{9}}{\frac{\sqrt{65}}{9}}

tan(A)=\frac{4}{\sqrt{65}}

tan(A)=4\frac{\sqrt{65}}{65}

step 3

Find the cot(A)

we know that

cot(A)=\frac{1}{tan(A)}

we have

tan(A)=\frac{4}{\sqrt{65}}

substitute

cot(A)=\frac{1}{\frac{4}{\sqrt{65}}}

cot(A)=\frac{\sqrt{65}}{4}

step 4

Find the sec(A)

we know that

sec(A)=\frac{1}{cos(A)}

we have

cos(A)=\frac{\sqrt{65}}{9}

substitute

sec(A)=\frac{1}{\frac{\sqrt{65}}{9}}

sec(A)=\frac{9}{\sqrt{65}}

sec(A)=9\frac{\sqrt{65}}{65}

step 5

Find the csc(A)

we know that

csc(A)=\frac{1}{sin(A)}

we have

sin(A)=\frac{4}{9}

substitute the value

csc(A)=\frac{1}{\frac{4}{9}}

csc(A)=\frac{9}{4}

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