Answer:
2
Step-by-step explanation:
If we have the length and the breadth of a rectangle then we can draw a unique rectangle because we know already that all the vertex angles are equal to 90 degrees. Hence, only two measurements are required.
Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)
![m =\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Pick any two corresponding points from the table
So, we have:
![(x_1,y_1) = (8,1.21)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%288%2C1.21%29)
![(x_2,y_2) = (12,1.63)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2812%2C1.63%29)
So:
![m =\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m =\frac{1.63 - 1.21}{12 - 8}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B1.63%20-%201.21%7D%7B12%20-%208%7D)
![m =\frac{0.42}{4}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B0.42%7D%7B4%7D)
![m =0.105](https://tex.z-dn.net/?f=m%20%3D0.105)
The linear equation is then calculated using:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = 0.105 * (x - 8) + 1.21](https://tex.z-dn.net/?f=y%20%3D%200.105%20%2A%20%28x%20-%208%29%20%2B%201.21)
Open bracket
![y = 0.105x - 0.84 + 1.21](https://tex.z-dn.net/?f=y%20%3D%200.105x%20-%200.84%20%2B%201.21)
![y = 0.105x + 0.37](https://tex.z-dn.net/?f=y%20%3D%200.105x%20%2B%200.37)
To get the length closest to 4.2lb,
we set ![y = 4.2](https://tex.z-dn.net/?f=y%20%3D%204.2)
Then solve for x
So, we have:
![y = 0.105x + 0.37](https://tex.z-dn.net/?f=y%20%3D%200.105x%20%2B%200.37)
![4.2 = 0.105x + 0.37](https://tex.z-dn.net/?f=4.2%20%3D%200.105x%20%2B%200.37)
Collect like terms
![0.105x= 4.2 - 0.37](https://tex.z-dn.net/?f=0.105x%3D%204.2%20-%200.37)
![0.105x= 3.83](https://tex.z-dn.net/?f=0.105x%3D%203.83)
Solve for x
![x= 3.83/0.105](https://tex.z-dn.net/?f=x%3D%203.83%2F0.105)
![x\approx 36.5](https://tex.z-dn.net/?f=x%5Capprox%2036.5)
Answer:
I might be wrong but i looked it over, and I think the answer can be B
Step-by-step explanation:
I dont know for sure but i think it might be.
Repeating; it's .252525252525252525252525