Answer:A
Step-by-step explanation:
Use PEMDAS
Parenthesis
Exponents
Multiplication Division (Left to Right)
Addition Subtraction (Left to Right)
<em>First evaluate the operations inside of the brackets</em>
-8 + 2[5 + (-4 + 1)2] <em>evaluate (-4 +1) because it is surrounded by parenthesis</em>
-8 + 2[2 + (-3)2]) <em>multiply (-3)2
</em>-8 + 2[2 - 6] <em>subtract 2 - 6 because it is surrounded by the brackets (parenthesis)
</em>-8 + 2(-4) <em>multiply 2(-4)</em>
<em>-8 - 8
-16</em>
The answer is False. in order for x to be at least 2, the sign would have to be greater than or equal to.
See the attached figure
radius of the circle = r = 6
the length of one side of the equilateral triangle = L
the height if the triangle = h
The shaded area is the required area.
∴The area = (1/3) (area of circle - area of triangle )
area of circle = π r² = π * 6² = 36 π
An equilateral triangle is inscribed in a circle of radius r
∴ The length of one side of the triangle = √3 * r
= 6√3
and the height of the triangle = (√3 /2) * 6√3 = 9
∴ Area of the triangle = 0.5 * 9 * 6√3 = 27√3
The required area = (1/3) (area of circle - area of triangle )
= (1/3) * ( 36π - 27√3 )
= 12π - 9√3