Hey there,
Your question states: <span>Four points are always coplanar if . . .
Your correct answer from the questions above would be
</span>
they lie in the same place
The definition of the word
![\boxed{coplanar}](https://tex.z-dn.net/?f=%5Cboxed%7Bcoplanar%7D)
means : In the same place.
So . .Four points are always coplanar if <span>
they lie in the same place.Hope this helps many.
~Jurgen</span>
The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵ ![\frac{3}{2}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D1.5)
∵ ![\frac{6}{4}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B4%7D%3D1.5)
∵ ![\frac{9}{6}=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B6%7D%3D1.5)
∴ ![\frac{y}{x}=k](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3Dk)
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
Learn more:
You can learn more about proportional in brainly.com/question/10708697
#LearnwithBrainly
Answer:
8.4 * 10^6
Step-by-step explanation:
8.4 * 10^6
1 million = 1 * 10^6
8 million 4 hundred thousand is 8.4 * 10^4 because this number is 8.4 times bigger than a million.
Answer: The total length of nine pieces of chain is 121.248 yards.
Explanation:
Since we have given that
Length of each chain = 13 yards, 1 foot, 5 inches
As we know that
![1\ inch=\frac{1}{12}\ foot\\\\5\ inches=\frac{5}{12}=0.4167\ foot\\\\\text{Total foot = 1+0.4167 =1.4167 foot}\\\\And\\\\1\ yard=3\ foot\\\\1\ foot=\frac{1}{3}\ yard\\\\1.4167\ foot=\frac{1.4167}{3}=0.472\ yards\\\\So,\\\\13\ yards+0.472=13.472\ yards](https://tex.z-dn.net/?f=1%5C%20inch%3D%5Cfrac%7B1%7D%7B12%7D%5C%20foot%5C%5C%5C%5C5%5C%20inches%3D%5Cfrac%7B5%7D%7B12%7D%3D0.4167%5C%20foot%5C%5C%5C%5C%5Ctext%7BTotal%20foot%20%3D%201%2B0.4167%20%3D1.4167%20foot%7D%5C%5C%5C%5CAnd%5C%5C%5C%5C1%5C%20yard%3D3%5C%20foot%5C%5C%5C%5C1%5C%20foot%3D%5Cfrac%7B1%7D%7B3%7D%5C%20yard%5C%5C%5C%5C1.4167%5C%20foot%3D%5Cfrac%7B1.4167%7D%7B3%7D%3D0.472%5C%20yards%5C%5C%5C%5CSo%2C%5C%5C%5C%5C13%5C%20yards%2B0.472%3D13.472%5C%20yards)
On Converting it into larger units, we get 13.472 yards
Now, Number of pieces of chain =9
Length of 9 pieces is given by
![13.472\times 9=121.248\ yards](https://tex.z-dn.net/?f=13.472%5Ctimes%209%3D121.248%5C%20yards)
Hence, Nine pieces of chain are 121.248 yards long .