15.04 degrees or answer A is correct.
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. The formula for it is A=b•sin a/sin b.
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find:
The remaining sides of a triangle, knowing two angles and one side.
The third side of a triangle, knowing two sides and one of the non-enclosed angles. In some cases (ambiguous cases) there may be two solutions to the same triangle. If the following conditions are fulfilled, your triangle may be an ambiguous case:
You only know the angle α and sides a and c;
Angle α is acute (α < 90°);
a is shorter than c (a < c);
a is longer than the altitude h from angle β, where h = c * sin(α) (a > c * sin(α)).
I hate useless complicated math lol ;)
Answer:
Step-by-step explanation:
2. 24^2+7^2 = 625
V 625 = 25
3. 6^2 + 5^2 = 25 +36 = 61
V 61 =7.81024967 =7.8
4. 4^2 +9^2 = 97
V 97= 9.84885780 = 9.8
5. 2^2 +3^2 = 13
V 13 =3.60555127 =3.6
and done!
Step-by-step explanation:
A study was to be undertaken to determine if a particular training program would improve physical fitness. A sample of 31 university students was selected to be enrolled in the fitness program. The researchers wished to determine if there was evidence that their sample of students differed from the general population of untrained subjects. The sample mean is 47.4 and a standard deviation of 5.3. The 98% confidence interval is determined and is given as, (45.2, 49.6) .
If the level of confidence is changed to 95%, then the confidence interval will become shorter but the p-value will not change because it is calculated using the test statistic. So the correct answer is (a).
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