A teacher gives a 10-point to a class of 10 children.
1 answer:
Given what we know, we can say that it is possible for 9 out of 10 students to score above average, but it is not possible for all 10 to score above average.
<h3>How do we calculate an average score?</h3>In order to calculate the average score of the students, we must use addition.
We have to add all of the scores, in this case, 10 scores, and then divide by the number of scores.
One example of 9 out of 10 students scoring above average would be:
This would leave us with an average score of 8.2 and 9 out of 10 students that have scored higher.
Given the way in which we calculate average scores, it is impossible for all 10 students to score above average since even if all 10 students get a perfect score, that would then become the average.
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Answer:
30°
Step-by-step explanation:
Call the other end of the chord point B and the center of the circle point O. Then triangle AOB is an equilateral triangle, since OA = OB = AB.
Angle OAB is the internal angle of that triangle, so is 60°. Since OA is perpendicular to the tangent line (makes an angle of 90°), The angle between the tangent line and the chord must be ...
90° - 60° = 30°
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The other way you know this is that central angle AOB is 60°, and the tangent-to-chord angle is half that, or 30°.
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One way to remember the angle relationship between a tangent line and a chord is this:
Consider a point C on long arc AB. The measure of inscribed angle ACB is half the measure of central angle AOB, no matter where C is on the circle. (If C happens to be on the short arc AB, then central angle AOB is a reflex angle, but the relationship still holds.) Consider what happens when C approaches A. The angle at vertex C is still the same: 1/2 the measure of central angle AOB. This remains true even in the limit when points A and C become coincident and line AC is a tangent at point A.
