Help me solve this problem please???
2 answers:
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Answer: a) 0.07910, b) 0.000976, c) 0.7626
Step-by-step explanation:
Since we have given that
Number of questions = 5
Number of choices = 4
P(getting correct) =
a) the first question she gets right is the 5th question?
P(getting 4 wrongs answers and one right answer) is given by
b) she gets all of the questions right?
P(all right )=
c) she gets at least one question right?
1-P(All of them wrong)
Hence, a) 0.07910, b) 0.000976, c) 0.7626
Answer:
B) a = 6.7, B = 36°, C = 49°
Step-by-step explanation:
Fill in the numbers in the Law of Cosines formula to find the value of "a".
a² = b² + c² -2bc·cos(A)
a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862
a ≈ √44.4862 ≈ 6.66980
Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°
The third angle is ...
B = 180° -A -C = 180° -95° -48.31° = 36.69°
The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.
