45% of the class is girls. There are 90 girls in the class. How many students are in the class?
1 answer:
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Given:
Radius of circle = 12 units
Area of sector = 24π sq. units.
Central angle = x
To find:
The value of x.
Solution:
We have,
We know that, area of a sector is
Where, is central angle, r is radius.
Multiply both sides by 360 degrees.
The value of x is 60 degrees.
Therefore, the correct option is A.
Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6)
-2x + 6
4x - 24 -2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24 -2x + 6
6x - 24 6 <-- Add 2x to both sides
6x 30 <-- Add 24 to both sides
x 5 <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
4(x - 6)
4x - 24
All is left to do is add and subtract to get the x variable all alone.
4x - 24
6x - 24
6x
x
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)