Based on the calculations, the length of side CM is equal to 4 units.
<h3>How to calculate the
length of side CM?</h3>
First of all, we would determine the measure of angle B by applying the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
<u>Given the following data:</u>
A = BC = 5
B = AC = 4√2
C = AB = 7
Substituting the given parameters into the formula, we have;
(4√(2))² = 5² + 7² - 2 × 5 × 7 × cosB
cos(B) = ((4√(2))² - (5² + 7²))/(-2×5×7)
cos(B) = 0.6
B = cos⁻¹(0.6)
B = 53.13°.
Now, we can find side CM by using sine trigonometry:
sin(B) = CM/BC
CM = BC × sin(B)
CM = 5 × sin(53.13°)
CM = 5 × 0.8
CM = 4 units.
Read more on cosine law here: brainly.com/question/11000638
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Answer:
231.07 in^2
Step-by-step explanation:
The radius of the semicircle is 14/2 = 7 in
22x14 - 3.14x(7^2)/2 = 231.07 in^2
Answer:
b). posterior probabilities.
Step-by-step explanation:
Posterior Probabilities are described as the updated probabilities which are estimated employing the theorem proposed by Baye. According to his theorem, an association is developed between probability and the newly received information. <u>When the previously existing probabilities are amalgamated with this updated information, it gives the existing probabilities' value a correction, update, or revision namely 'posterior probabilities</u>.' Thus, it is the probability that asserts the truth of a hypothesis and hence, <u>option b</u> is the correct answer.
The greatest common fact is 2
Answer:140 meters
Step-by-step explanation:1km=100m, 1.4km times 100=140
