a bag contains 1 red beads 2 yellow beads 2 green beads and 1 blue bead a bean is choose and at random what is the probability t
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Answer:
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Step-by-step explanation:
The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is
The length of the arc ED is 4x.
Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Solution
The counselor has 12 electives courses (e.g. art, band, PE, etc.) to choose from and must select 2 ordered classes for each 6th grade student.
Let S be the sample space.
Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66
Sixty six (66) ways can the counselor arrange the last 2 periods of the day for the 6th grade students