Find the value of sin J rounded to the nearest hundredth, if necessary. 12 13 K

Mathematics

1 answer:

Nina [5.8K]2 years ago

3 0

The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

<h3>What is the measure of the missing angle?</h3>

The image attached aside shows us a <em>right</em> triangle with two known <em>side</em> lengths (JL, KJ) and a <em>angle</em> measure (m ∠ K). The measure of the <em>missing</em> angle can be found by using the <em>trigonometric</em> function of cosine:

cos m ∠ J = KJ / JL

cos m ∠ J = 12 / 13

m ∠ J = 22.620°

The measure of the angle J within the triangle JKL is approximately 22.620°.

And the sine of the angle J, which helds the same <em>positive</em> sign than cosine as the angle is in the first quadrant on <em>Cartesian</em> plane, is:

sin m ∠J = √(1 - cos² m ∠J)

sin m ∠J = √[1 - (12 / 13)²]

sin m ∠J = 5 / 13

The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

To learn more on trigonometric functions: brainly.com/question/6904750

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Assume there are 365 days in a year.

MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

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