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mestny [16]
3 years ago
12

In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77. What ratio represents the sine of ∠W?

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

<u>Given</u>:

In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.

We need to determine the ratio that represents the sine of ∠W

<u>Ratio of sin of ∠W:</u>

The ratio of sin of ∠W can be determined using the trigonometric ratios.

The ratio of sin \ \theta is given by

sin \ \theta=\frac{opp}{hyp}

From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.

Hence, substituting in the above ratio, we get;

sin \ W=\frac{XV}{WV}

Substituting the values, we get;

sin \ W=\frac{77}{85}

Thus, the ratio of sine of ∠W is sin \ W=\frac{77}{85}

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Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost
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We know that for each round there will be 2 draws, therefore, there will be four cases,

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Probability, when the first chip is black and the next chip is red,

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Probability, when the first chip is red and the next chip is black,

\dfrac{3}{5}\times \dfrac{2}{5}=\dfrac{6}{25}

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Probability, when both the chips drawn are red,

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The expected value of each round can be found,

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E(x) = 0.4

Hence, the expected value for each round, if there are two draws per round and the chips, are replaced after each draw is 0.4.

Learn more about Expected Value:

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