Answer:
Step-by-step explanation:
Statement Reason:
1) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
2) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula
3) Segment DE is half the length of segment AC By substitution
4) Slope of segment DE is -2 and slope of segment AC is -2 by the slope formula
5) Segment DE is parallel to segment AC Slopes of parallel lines are equal...
5a - 4a = -9 - 8a
a = -9 - 8a
9a = -9
a = -1
The answer to the problem is C 2^12 the reason is because 16^3 is 4,096 and
2^7=128
2^11=2,048
2^12=4,096 which is what we want so this is the answer
2^64=18,447,744,073,709,551,616 which is not even close to what we want at all
So the answer is C 2^12
Answer:
202 cm^2
Step-by-step explanation:
SA = 2LW + 2LH + 2WH
SA = 2(4 cm)(5 cm) + 2(4 cm)(9 cm) + 2(5 cm)(9 cm)
SA = 40 cm^2 + 72 cm^2 + 90 cm^2
SA = 202 cm^2
Answer:
1) There are 13 students in Jerry's study.
2) There are 39 students in Kathy's study.
3) Jerry's study is more trustworthy!
Step-by-step explanation:
1) Jerry's study is the one with the dot plot.
Now, the number of students is calculated by adding the total number of dots in the plot.
We have a total of 13 dots.
Thus, there are 13 students in Jerry's study.
2) Kathy's study is the one with the histogram.
The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.
Total number of students = 9 + 11 + 7 + 12 = 39 students
3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.
