Π = pi = 3.1415926 etc.
Circumference = diameter × π
We can rearrange this to show:
Diameter = circumference ÷ π
Diameter = 9.42 ÷ π
Diameter = 2.998 cm
The buttonhole should be around 3 cm.
Answer:
3.8
Step-by-step explanation:
3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8
108-36x+2x=516
34x=408
x=12
Area of deck= 2(20w)+4(w^2)+2(50w)d
456=2(20w)+4(w^2)+2(50w)
456=40w+4w^2+100w
456=4w^2+140w
114=w^2+35w
0=w^2+35w-114
find what 2 numbers multiply to get 114 and add to get 35 and factor
-3 and 38
0=(w-3)(w+38)
set each to zero
w-3=0
w=3
Answer:
a) (-9, +∞)
b) [8/3, +∞)
Step-by-step explanation:
a) 6x - 5 < 7x + 4
We need to write the terms with x on one side and the terms without x on the other side
6x - 5 < 7x + 4
-5 - 4 < 7x - 6x
-9 < x
Therefore x >-9, in set notation this would be (-9, +∞)
b) x² + 3(x - 1) ≥ x² + 5
We need to solve first the parentheses and combine like terms
x² + 3(x - 1) ≥ x² + 5
x² +3x -3 ≥ x² + 5
x² - x² + 3x ≥ 5 + 3
3x ≥ 8
x ≥ 8/3
Therefore, the solution in set notation would be [8/3, +∞)
*Both graphs on the number line are below*