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Nadusha1986 [10]
3 years ago
13

Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator 12 L : 40 L

Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

3 / 13

Step-by-step explanation:

12 + 40 = 52 ← Denominator

12 / 52 → 6 / 26 → 3 / 13

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Answer:

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Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

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\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
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ArbitrLikvidat [17]

Answer:

6°

Step-by-step explanation:

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Hope it will help :)

6 0
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The perimeter of a rectangle is 192 ft. The ratio of its length to its width is 7 : 5. What are the dimensions of the rectangle?
ioda
P = 2(L + W)
P = 192

192 = 2(L + W)
192 / 2 = L + W
96 = L + W

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Answer:

Step-by-step explanation:

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