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2 years ago

Laura walked 612 laps of a circular path in 2 hours. At that rate, how many laps of the path did she walk in one hour? PLz help

Mathematics

2 answers:

marta [7]2 years ago

7 0

Answer:

The answer is 3 1/4

Step-by-step explanation:

I hope this helps! :)

svp [43]2 years ago

7 0

Answer:

3 1/4

Step-by-step explanation:

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Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0

1 year ago

2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 m

pychu [463]

The speed at which they are moving apart = 475 + 525 = 1000 mi/h

Time = distance / speed
= 6000 / 1000 = 6 hours

The answer is 6 hours.

8 0

2 years ago

At South High School, 37% of the teachers are between 22 and 30 years old, 25% are between 31 and 40

Nookie1986 [14]

I don’t know but I’m not gonna say anything so you don’t get it wrong

6 0

2 years ago

Write a linear function f with f(−10)=4 and f(−2)=4.

Orlov [11]

f(-10) = 4

f(-2) = 4

Since y is constant while x isnt we just dont need to put x

f(x) = 4

6 0

3 years ago

-3 x - 5 = 36. What is X?

Black_prince [1.1K]

Answer:

x = -13,67

Step-by-step explanation:

-3x - 5 = 36

-3x = 36 + 5

-3x = 41

x = 41/-3

x = -13 2/3

x = -13,67

make as the brainliest

7 0

3 years ago