The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
<h3>Trigonometry </h3>
From the question, we are to determine the values of the missing sides
From the diagram,
Opposite = 9
Adjacent = y
Hypotenuse = x
Included angle = 45°
Using SOH CAH TOA, we can write that
∴ y = 9
Since the triangle is a right triangle, we can write that
x² = y² + 9² (<em>Pythagorean theorem</em>)
x² = 9² + 9²
x² = 81 + 81
x² = 162
x = √162
x = 12.7
Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
Learn more on Trigonometry here: brainly.com/question/24259483
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Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
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