Angle x is the largest angle in triangle XYZ. Angle y is the smallest angle. How does the sum of the measures of angles y and z
1 answer:
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Answer:
0.3888
Step-by-step explanation:
To solve the exercise we need a neutral time, so we define at 12:00 as time 0.
If the man arrives in a uniformly distributed time between 11:40 and 12:10, the time is distributed from -20 to 10.
If the woman arrives in a time evenly distributed between 11:45 and 12:20, the time is distributed from -15 to 20.
Assuming that each one arrives at 12: X and 12: Y for men and women, then the space of our time is defined as
Man [-20,10]
Woman [-15,20]
So,
Then,
The probability of finding an arrival less than 5 minutes is
Answer:
89.0°
Step-by-step explanation:
The segment from the centre of the circle to the chord is a perpendicular bisector, hence
third side of right triangle = 12.7 ÷ 2 = 6.35
The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre
The triangle from the centre to C is congruent to the triangle from the centre to D
Calculate the angle (Θ ) in the right triangle using the sine ratio
sinΘ = =
Θ = (
) ≈ 44.5°
Hence
measure of CD = 2 × Θ = 2 × 44.5 = 89.0°