Answer:
It is 7 hours and 50 minutes
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.
Answer:
x =147
Step-by-step explanation:
The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)
42+(-124+x) =360-(2x+1)
Combine like terms
x-82 =359-2x
Add 2x to each side
x-82+2x = 359
3x -82 = 359
Add 82 to each side
3x-82+82 = 359+82
3x = 441
Divide by 3
3x/3=441/3
x =441/3 or 147
Answer:
D) 2x<u>2</u>
Step-by-step explanation:
i got i right on the test
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, -∞)