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Alecsey [184]
2 years ago
5

Write the tangent, cosine and sine ratios of angles X & Y. Write each answer as a (reduced) fraction. Not a decimal.

Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

The tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

<h3>What are the trigonometry ratios?</h3>

For a right angle triangle, the trigonometry ratios can be given as,

\rm \sin \theta=\dfrac{b}{c}\\\rm \cos \theta=\dfrac{a}{c}\\\rm \tan \theta=\dfrac{b}{a}

Here, <em>a</em> is base side<em>, b</em> is perpendicular side and<em> c</em> is the hypotenuse side of the triangle.

In the given triangle, the length of base side<em> </em>is 8 units, perpendicular side is 6 units and hypotenuse side is 10 units.

a=8\\b=6\\c=10

Thus, the  tangent, cosine and sine ratios of angles X & Y are,

\rm \sin \theta=\dfrac{6}{10}=\dfrac{3}{5}\\\rm \cos \theta=\dfrac{8}{10}=\dfrac{4}{5}\\\rm \tan \theta=\dfrac{6}{8}=\dfrac{3}{4}

Thus, the tangent, cosine and sine ratios of angles X & Y in the reduced faction form is 3/4, 4/5 and 3/5 respectively.

Learn more about the trigonometry angles here;

brainly.com/question/20519838

#SPJ1

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6 1⁄3 + 7 1⁄4 – 2 1⁄2 =
Korvikt [17]

Answer:

11 1/12

Step-by-step explanation:

6 1/3 = 19/3

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19/3 + 29/4 - 5/2


We must find the LCM of 3, 4, and 2. This happens to be 12

3*4 = 12

4*3 = 12

2*6 = 12

Multiply each fraction by the factor that'll get it to 12.


19/3 * 4/4 = 76/12

29/4 * 3/3 = 87/12

5/2 * 6/6 = 30/12

Now go through the problem


76/12 + 87/12 - 30/12

76 + 87 = 163

163/12 - 30/12

163 - 30 = 133

133/12

Simplify

133/12 = 11.0833... or 11 1/12


Hope this helps.

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3 years ago
What’s the size of angle AED
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Step-by-step explanation:

8 0
2 years ago
PLEASE HELP ASAP!!
Airida [17]

Answer:

C

Step-by-step explanation:

Hey There so the first step of this problem is to find the formula for circumference

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7 0
3 years ago
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Use the following probability distribution in order to answer the probabilities that follow. x P(X = x) 1 0.05 2 0.22 3 0.35 4 0
maria [59]

Answer:

P(X = 2) = 0.22.

Step-by-step explanation:

We are given with the following probability distribution below;

          X                                         P(X)

          1                                          0.05

          2                                         0.22

          3                                         0.35

          4                                         0.30

          5                                     <u>    0.08    </u>

       Total                                  <u>     </u><u> 1</u><u>         </u>

As the sum of all the probabilities is equal to 1, which means that this is a valid probability distribution.

Now, from the table above P(X = 2) = 0.22.

Hence, the probability that the X is equal to 2 is 0.22 or 22%.

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