Answer:
x > - 3
Step-by-step explanation:
x + 2
> -
First turn 2
into an fraction since its easier. So it becomes 
x +
> - 
<u> - </u>
<u> - </u>
<u> </u> Do inverse operations, so subtract
from both sides.
x > -
Combine -
with -
, which gives us - 
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
Step-by-step explanation:
perimeter = 332
let the width be 'x'
then, length = 2x+7
perimeter = 2 (length+width)
332 = 2 ( 2x+7 + x )
332/2 = 3x + 7
166 - 7 = 3x
159/3 = x
53 = x
therefore, width (x) = 53
length = 2(53)+7
= 113
X = 40 degrees.
95 - 135 = 40
Hope this helps!!
This, you will have to use your calculator for, but I can still explain it.
First off, 9x10^-3 is equivalent to 0.009
Second: 2.4x10^-5 is equivalent to 0.000024
Parenthesis
Exponents
Multiple
Divide
Addition
Subtraction
PEMDAS is the order you go in always, if it's multiple or division, you do whichever one comes first, same with addition and subtracting, so left to right
FIRST: do 0.000024 / 0.0012 = 0.02
0.009 + 0.02 (answer above) = 0.29
Answer:

Step-by-step explanation:
we know that
If the base of the solid is a circle and all plane sections perpendicular to a fixed diameter of the base are equilateral triangles
then
The solid is a cone
The volume of a cone is equal to

we have

Find out the height of the cone
Remember that
If all plane sections perpendicular to a fixed diameter of the base are equilateral triangles
then
The length side of each equilateral triangle is equal to the diameter of the base
Applying the Pythagoras Theorem find out the height of the cone

we have
----> the diameter is two times the radius

substitute and solve for h




Find the volume


assume

