In right triangle ABC, LCis a right angle and sin A = sin B. What is m Α?
2 answers:
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The area of the circular sector is
From that, the equation for the central angle is
The perimeter of the circular sector is the sum of the arc length and twice the radius.
From that, the equation for the central angle is
The value of r can be found by equating these two expressions for θ.
By any of several means, you can find that r=0.2 or 1.25. The latter value corresponds to the requirement that the central angle be less than 90°. The radius is ...
1.25 miles.
From that, the equation for the central angle is
The perimeter of the circular sector is the sum of the arc length and twice the radius.
From that, the equation for the central angle is
The value of r can be found by equating these two expressions for θ.
By any of several means, you can find that r=0.2 or 1.25. The latter value corresponds to the requirement that the central angle be less than 90°. The radius is ...
1.25 miles.
Let initially number of fishes =x
He gives 2/3 of his fish to a local high school, that is he gives 2x/3 fish .
So number of fishes left = x -(2x/3) = x/3 . And he gives 2/5 of x/3 to an elementary school , that is , he gives 2x/15 fishes to the elementary school. And finally the number of fishes left =30 , that is
So initially he have 150 fishes .