Answer:
x = 18 or x = -12.
Step-by-step explanation:
||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.
Area of sector = (1/2) * r^2 * α where α = the angle in radians
= 1/2 * 12^2 * π/3
= 72 π / 3 = 24 π Answer
There are 3 rectangles.
In the plane, each rectangle has 2x + 7 horizontal side.
The fence covers 3 horizontal sides => 3 (2x + 7)
In the plane, the vertical sideis x. And the fence covers 4 vertical sides => 4x
Then the total amount of fecncin is: 3(2x+7) + 4x = 6x + 21 + 4x = 10x + 21
Answer: 10x + 21<span> </span>
