Answer:
The length of the arc is 2.25 units.
Step-by-step explanation:
The circumference of a circle is , where r is radius of the circle.
Total angle of a circle in degree is 360°.
Length of central angle formula
Given that,
A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.
Then,
=2.25 units.
The length of the arc is 2.25 units.
Answer:
The general form of the translated circle is
Step-by-step explanation:
The equation of the given circle is:
This is a circle that is centered at the origin;
This circle has been translated so that it is now centered at (2,8).
The translated will now have equation:
Expand:
The answer is 813.7 your welcome
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Answer:
supplement of ∠B = 180° -x°
Step-by-step explanation:
The supplement of an angle is the difference between 180° and that angle.
supplement of ∠B = 180° - m∠B
supplement of ∠B = 180° -x°
Answer:
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Prefers swimming on weekends.
Event B: Being female.
25% prefer swimming on weekends
This means that
It is found that 20% of the members in that city prefer swimming on weekends and are female
This means that
So
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.