we have
-------> inequality A
The solution of the inequality A is the interval------> (-∞,-2)
All real numbers less than ![-2](https://tex.z-dn.net/?f=-2)
-------> inequality B
The solution of the inequality B is the interval------> [4,∞)
All real numbers greater than or equal to ![4](https://tex.z-dn.net/?f=4)
The solution of the compound inequality A or B is equal to
Solution A+Solution B
(-∞,-2) U [4,∞)
therefore
the answer in the attached figure
Answer: Due to its anonymous nature, if you lose your cash, it's gone. Payment cards can be cancelled and replaced swiftly and remotely. Whilst cash may offer you complete anonymity from data thieves, EMV chip enabled cards offer a more thorough form of payment authentication, providing an extra layer of payment security
So, therefore, C.
Answer:
21 inches Sq
Step-by-step explanation:
Area of triangle=1/2 * b * h
where Height= 7 in and Base = 3in + 3in= 6in
so 1/2*7*6=0.5*7*6=21
Answer: $35
Step-by-step explanation:
From the question, we are informed that the current bill of the person is $140.00 per month and that the person wants to decrease the bill by 25%.
To know the amount that the person needs to deduct, we have to calculate 25% of $140.00. This will be:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The person will need to remove $35. The person will now pay ($140 - $35) = $105 monthly.
Answer: area = 30 square units
The diagram is below. Ignore point G and the red dashed line when drawing the final hexagon needed.
======================================================
Explanation:
On the grid your teacher has given you, plot the 6 points. Then connect them to form hexagon ABCDE. All of this is shown in blue in the diagram below.
Let's add point G as shown in red. I'll connect G to point C with a red dashed line. These will be temporary and erased later. Though if your teacher doesn't mind you leaving it in (so you can show your steps), then its probably not a bad idea to keep it. It's best to ask your teacher.
Anyways, the red segment GC splits the original hexagon into a trapezoid up top and a rectangle down below.
------------
The trapezoid has the parallel bases of b1 = GC = 4 and b2 = AB = 2. The height is h = GA = 3
This leads to,
area = h*(b1+b2)/2
area = 3*(4+2)/2
area = 3(6)/2
area = 18/2
area = 9
Trapezoid ABCG has area of 9 square units.
-----------
The rectangle has length EF = 7 and width ED = 3
area = length*width
area = 7*3
area = 21
Rectangle DEFG has area of 21 square units.
------------
Add up those two area results to get the area of the overall hexagon.
trapezoid + rectangle = 9 + 21 = 30 square units.