Answer:
EF = ≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d =
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF =
=
=
= ≈ 5.83 ( to 2 dec. places )
Can the numbers 12,6 , 6 be used to form the sides of a triangle
1 answer:
we have three sides, let's look at the two smaller sides first.
check the picture below, atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 6 - 6 = 0. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 0.
check the picture below, at the bottom
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 6 + 6 = 12. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 12.
so, 12 is a no dice.
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Answer:
- Mean = 26.24
- Median = 27
- Mode = 32
- Range = 38
Step-by-step explanation:
Plotting the original data from leaf plot
<em><u>Finding Mean:</u></em>
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
= 26.24
Therefore, the range = 26.24.
<u>Finding Median:</u>
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
So, the median is 27 .
<em><u>Finding Mode: </u></em>
The mode of a set of data is the value in the set that occurs most often.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
We see that the mode is 32.
<em><u>Finding Range:</u></em>
The range is the difference between the highest and lowest values in the data set.
Ordering the data from least to greatest, we get:
9 11 12 12 14 17 25 25 27 32 32 32 33 35 41 42 47
The lowest value is 9.
The highest value is 47.
The range = 47 - 9 = 38