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Art [367]
2 years ago
6

How to tell if 12:17 and 10:15 are equivalent

Mathematics
1 answer:
Sphinxa [80]2 years ago
3 0
12:17 and 10:15 can be rewritten as 12/17 and 10/15. We need to make the denominators similar so we find the LCM of 17 and 15 which is <span>255.

12/17 = 180/</span><span>255
10/15 = 170/</span><span>255

180</span>\neq170

They are not equivalent. Hope this helps!<span />
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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
Simple interest $1200 8% 2years
Gennadij [26K]

This is a screen shot of an online calculator called mathportal.com it shows the work used to find the answer to this question

Hope this helped and have an amazing day :)

-yO mAmA

5 0
3 years ago
Solve pls brainliest
VikaD [51]

Answer: -5.27 + (-3.32) = -8.59  and -5.6 + 27.4 = 21.8

Step-by-step explanation: Have a nice day bro!✌️

6 0
2 years ago
Click the photo to solve the photo
dangina [55]

Answer:

A=2

B=4

C=6

D=5

E=7

F=8

G=3

H=1

Step-by-step explanation:

explanation is in the picture!

6 0
2 years ago
Need help will give brainliest :)​
Elina [12.6K]

Answer:

what do you need help with? can you explain please

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2 years ago
Read 2 more answers
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