Answer:
X = 89.92° or 90.08°
Step-by-step explanation:
The law of sines can be used to find the value of angle X:
sin(X)/26 = sin(67.38°)/24
sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787
There are two values of X that have this sine:
X = arcsin(0.99999901787) ≈ 89.92°
X = 180° -arcsin(0.99999901787) ≈ 90.08°
There are two solutions: X = 89.92° or 90.08°.
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<em>Comment on the problem</em>
We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.
The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...
arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°
This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.
-16.8 = m(4)
-16.8 / 4 = -4.2
So the constant rate is -4.2.
Hope this Helps!!
Answer:
The union of two event
Step-by-step explanation:
Addition law of probability define that probability of two event is total sum of probability of any event subtract the probability of both events
There are two rules in addition law:
Addition law 1 - when both event are mutually exclusive, then probability of either event is the sum of each event probability.
P( A or B) = P(A) +P(B)
Addition law 2 - when both events are non mutually exclusive then there in addition to the individual probability there is some overlap .
P( A or B) = P(A) +P(B) - P(A and B)
This equation has an infinite number of solutions, so it will be categorized as an identity.
