In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees.
2 answers:
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Answer:
The questions and problem can be chosen in 1260 ways.
Step-by-step explanation:
Given that, a physics exam consists of 6 open-ended problem and 9 multiple choice questions.
The order of choosing does not matter.
So,we use combination to find ways.
The ways to choose 6 multiple choice from 9 is=
=84
The ways to 2 open-ended question from 6 is=
=15
Since pick 6 multiple choice out of 9 and 2 open-ended question out of 6 both are independent we have multiply both to find required ways.
Total number of ways is =(84×15)
=1260.
Answer:
where
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles,
denote corresponding radii and
denote the corresponding central angles.
So,
and
This implies and
As each circle has an arc where the measures of the corresponding central angles are the same,
As radius of one circle is twice the radius of the other circle,