We have the next inequation
8-4x<56
-4x<56-8
-4x<48
-x<48/4
-x<12
x>-12
Solution: x>-12 or (-12,+∞)
Answer: 21.994 cm²
Step-by-step explanation:
Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.
Formula for finding area of a circle = πr² where π is a constants . It has value of 22/7 or 3.142
Now area of the bigger circle = 3.142 x 3²
= 3.142 x 9
= 28.278 cm² Now are of the two smaller triangle = 3.142 x 1² x 2
= 6.284 cm².
Therefore are of the shaded region = 28.278 - 6.284
= 21.994 cm²
Answer: Choice A
The volume expression is 4/3 times pi times (3x)^3
===================================================
The volume of a sphere is found through the formula
V = (4/3)*pi*r^3
so we start with the fraction 4/3, multiply it with pi, and then multiply it with r^3
In this case, the radius is r = 3x because this is half of the diameter d = 6x
We simply replace the r with 3x in that formula above
V = (4/3)*pi*r^3
V = (4/3)*pi*( r )^3
V = (4/3)*pi*(3x)^3 ... replace r with 3x
Answer: 10 and -4
Step-by-step explanation:
3x - 2 Plug in 4 for x
3(4) - 2 = 12 - 2 = 10
5x + 6. Plug in -2 for x
5(-2) + 6 = -10 + 6 = -4
