Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
C. Is correct , Which is the current answer you have selected the median is the middle and since the graph is correct as of leading up to the median is correct
A) it is left skewed
B) the median is 5
C) the mean is 5.15
D) the mean would be more affected (a change of 1.05 versus a change of 0.5).
The majority of the data is to the right of the graph; this means it is left skewed.
To find the median, write all of the data values out:
2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7
The middle value is 5.
We find the sum of this set of values and divide by 13, the number of data points, to find the mean:
2+3+4+4+5+5+5+6+6+6+7+7+7 = 67/13 = 5.15
If we added an additional data value at 20, the new median would be 5.5. The new mean would be (67+20)/14 = 6.2. The mean changes more than the median.
Answer:
The answer to your question is only the second and the third are factors.
Step-by-step explanation:
Find the factors of 24x⁶ − 1029y³
First find the prime factors of 24 and 1029
24 2 1029 3
12 2 343 7 Then 24 = 2³3
6 2 49 7 1029 = 7³ 3
3 3 7 7
1 1
x⁶ = (x²)³ y³ = y³
Then
2³3(x²)³ - 7³ 3 y³
Factor 3 3[ 2³(x²)³ - 7³ y³]
Factor 3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]
Then
24
2x2 + 7y
4x4 + 14x2y + 49y2
All of the above
