You can show that
by constructing a triangle.
Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is
radians.
Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.
Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to
radians. We know one of the angles is
radians, which leaves a contribution of
radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure
radians.
Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length
, and by definition of
we have

Answer: Nancy needs 26 minutes to driving to work.
Explanation:
Since we have given that
Time taken in eating breakfast = 10 minutes
Time taken in making her bed = 5 minutes
Let the total time taken by her in doing routine activities be x
Time taken in getting dressed is given by

So, According to question,

Now, we need to find the time taken in driving to work which is given by

Hence, Nancy needs 26 minutes to driving to work.
distance is speed multiply by time, from speed equals distance divided by time so we have 100 multiply by 6 which is 600km
Answer:
7.92% probability that a particular death is due to a traffic accident
Step-by-step explanation:
The relative frequency approach to find the probability that a particular death is due to a traffic accident is the number of deaths due to traffic accidents divided by the total number of deaths.
We have that:
624 deaths from traffic accidents
7883 total deaths.
So

7.92% probability that a particular death is due to a traffic accident