Answer:
A.
Step-by-step explanation:
Give the data set: 2, 4, 6, 8, 10, 12.
Find the following:
Min, Q1, Median, Q3, and Max.
Min. = 2
Q1 = 4
Median = (6+8)/2 = 7
Q3 = 10
Max = 12
Check the box plot to see which one represents these values above.
Thus:
The correct box plot would have the whisker to your left at 2, representing the min value.
The Q1 would be at represented by the beginning box the edge of the rectangular box that starts at 4.
The median would be represented by the vertical line that divides the box which would be on 7.
The Q3 would be on the end of the box which is at 10.
The max would be represented by the other whisker that goes to our right, representing 12.
The box plot is that represents this data is the box plot given in option A.
Answer: 2(5c - 1x)
Step-by-step explanation: It's asking you to take out the greatest common factor (GCF).
There are in fact two methods to solve this problem which I will show below:
(1) Knowing that the area of square ABCD is 144 cm^2, we can calculate the side lengths as the area of a square is given by the length of one of its sides squared, thus:
144 = l^2
l = 12 cm
Now we can take a length, let's say AD and we know that it is 12 cm; we also know that MA is 6 cm, so MD would be 18 cm.
HD = MA = 6 cm
Triangle MDH is a right-angled triangle so we can use Pythagoras' theorem (c^2 = a^2 + b^2) to solve for length MH, thus:
MH^2 = 6^2 + 18^2
MH = sq.root(360)
= 6 sq.root(10)
Now that we know the length of one of the sides of the larger square we can square it to obtain the area:
Area = (6 sq.root(10))^2 = 360 cm^2
(2) After calculating that the side length of square ABCD is 12 cm, MD is 18 cm and HD is 6 cm, we can find the area of triangle MDH using the formula below:
Area = 0.5*bh
= 0.5*6*18
= 54 cm^2
Now looking at the diagram you can actually see that there are four of these triangles (MDH, MAW, WBT and HCT) and so if we multiply the area of one of the triangles by four we can find the area of the larger square that is not occupied by the smaller square, thus:
Area = 54*4 = 216 cm^2
Now we can add this together with the area of the smaller square to get:
Area of larger square = 216 + 144 = 360 cm^2
Thus in either case the answer would be A. Hope that helps :)
Answer:
x<-3
Step-by-step explanation:
