Answer:
Step-by-step explanation:
o find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Answer:
abc
Step-by-step explanation:
Given:
|x + 2| < 2
Let's solve for x.
Given the absolute value, we have 2 conditions. They are:
x + 2 < 2 and x + 2 > -2
Let's find x for both conditions.
Condition 1:
x + 2 < 2
Subtract 2 from both sides:
x + 2 - 2 < 2 - 2
x < 0
Condition 2:
x + 2 > -2
Subtract 2 from both sides:
x + 2 - 2 > -2 - 2
x > -4
Therefore,
x < 0 and x > -4
In interval notation, we have the solution as:
(-4, 0)
The graph of the inequality is below:
Number of pins produced per hour is 1000
value of each pin is $8.37
total value of pins produced= 1000×$8.37
=$8370
Answer:
![2.226X 10^8](https://tex.z-dn.net/?f=2.226X%2010%5E8)
Step-by-step explanation:
We are to determine the value of
in scientific notation.
Given:
![(5.3 X 10^4) (4.2 X 10 ^ 3)](https://tex.z-dn.net/?f=%285.3%20X%2010%5E4%29%20%284.2%20X%2010%20%5E%203%29)
STEP 1: Remove the brackets.
![(5.3 X 10^4) (4.2 X 10 ^ 3)=5.3 X 10^4X4.2 X 10 ^ 3](https://tex.z-dn.net/?f=%285.3%20X%2010%5E4%29%20%284.2%20X%2010%20%5E%203%29%3D5.3%20X%2010%5E4X4.2%20X%2010%20%5E%203)
STEP 2: Separate the numbers and index of 10.
![=5.3 X4.2X 10^4 X 10 ^ 3](https://tex.z-dn.net/?f=%3D5.3%20%20X4.2X%2010%5E4%20X%2010%20%5E%203)
STEP 3: Multiply the Numbers and Index of 10
![=22.26X 10^{4+3}](https://tex.z-dn.net/?f=%3D22.26X%2010%5E%7B4%2B3%7D)
STEP 4: Simplify and write in Scientific notation
![22.26=2.226X10\\Therefore:\\22.26X 10^{4+3}=2.226X10X 10^{4+3}=2.226X10X 10^7=2.226X 10^8](https://tex.z-dn.net/?f=22.26%3D2.226X10%5C%5CTherefore%3A%5C%5C22.26X%2010%5E%7B4%2B3%7D%3D2.226X10X%2010%5E%7B4%2B3%7D%3D2.226X10X%2010%5E7%3D2.226X%2010%5E8)
Thus:
in scientific notation