Answer:
![AC = \sqrt(26) \approx 5.1](https://tex.z-dn.net/?f=%20AC%20%3D%20%5Csqrt%2826%29%20%5Capprox%205.1%20)
Step-by-step explanation:
The diagonals are AC and BD.
Now we find the lengths of the diagonals using the distance formula.
![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
AC:
![AC = \sqrt{(6 - 5)^2 + (7 - 2)^2}](https://tex.z-dn.net/?f=%20AC%20%3D%20%5Csqrt%7B%286%20-%205%29%5E2%20%2B%20%287%20-%202%29%5E2%7D%20)
![AC = \sqrt{(1)^2 + (5)^2}](https://tex.z-dn.net/?f=%20AC%20%3D%20%5Csqrt%7B%281%29%5E2%20%2B%20%285%29%5E2%7D%20)
![AC = \sqrt{1 + 25}](https://tex.z-dn.net/?f=%20AC%20%3D%20%5Csqrt%7B1%20%2B%2025%7D%20)
![AC = \sqrt{26}](https://tex.z-dn.net/?f=%20AC%20%3D%20%5Csqrt%7B26%7D%20)
BD:
![BD = \sqrt{(9 - 2)^2 + (5 - 4)^2}](https://tex.z-dn.net/?f=%20BD%20%3D%20%5Csqrt%7B%289%20-%202%29%5E2%20%2B%20%285%20-%204%29%5E2%7D%20)
![BD = \sqrt{(7)^2 + (1)^2}](https://tex.z-dn.net/?f=%20BD%20%3D%20%5Csqrt%7B%287%29%5E2%20%2B%20%281%29%5E2%7D%20)
![BD = \sqrt{49 + 1}](https://tex.z-dn.net/?f=%20BD%20%3D%20%5Csqrt%7B49%20%2B%201%7D%20)
![BD = \sqrt{50}](https://tex.z-dn.net/?f=%20BD%20%3D%20%5Csqrt%7B50%7D%20)
Since sqrt(26) < sqrt(50), then the shorter diagonal is AC.
Answer: AC = sqrt(26) or approximately 5.1
Answer:
slope = 2
Step-by-step explanation:
Pick two points to find the slope. (1, 2) and (3, 3)
From the left (1, 2) to (3, 3), it goes up 2 units and to the right 1 unit.
We can plug this into the slope equation which is rise/run
2/1 = 2 = slope
Answer:
96cm3
Step-by-step explanation:
formula is
v=1/3×area of the base×height
area of base which is a square=l×l
which is equal to 6×6=36
therefore
v=1/3×(6×6)×8
=96cm3
I hope it helps
176ft^2 first
141.3ft^2 second
Answer: the 800 people interviewed.
Step-by-step explanation:
Definition of a sample in statistics : A sample is a subset of a population sharing some similar characteristics in them. It basically represents the whole population having same characteristics.
For the given case , " The poll surveyed 800 randomly selected adults nationwide.
Here 800 randomly selected adults nationwide are representing the whole population of adults nationwide..
Thus , the sample in this setting is: <u>the 800 people interviewed</u> .