Applying the centroid theorem of a triangle, the length of CG is: 26.
<em><u>Recall:</u></em>
- Medians join the vertices to the midpoint of the opposite sides of a triangle.
- The center that all the three medians intersect at is called the centroid.
- Based on the centroid theorem, the distant from the centroid to the vertex = 2/3 of the median length.
Triangle ABC is shown in the image attached below. G is the centroid.
CF = 39 (median)
CG = 2/3(CF) ---> Centroid Theorem.
CG = 2/3(39)
CG = 26
Therefore, applying the centroid theorem of a triangle, the length of CG is: 26.
Learn more about centroid theorem on:
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<u>Answer:</u>
The length of VI to the nearest tenth is 4 cm
Solution:
The plot is like a quadrilateral and the fences are built on the diagonal
We know that for quadrilateral both the diagonals are in same height,
So as per the picture, 
Now we know that 
Hence,
<u>Rounding off:</u>
- If the number that we are rounding is followed by 5 to 9, then the number has to be increased to the next successive number.
- If the number that we are rounding is followed by 1 to 4, then the number has to remain the same.
Here the number to be round off is 3.98, 9 belongs to the first category stated above. So, 3 is increased to 4.
Hence, the length of VI = 4 cm.
We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
The answer is .1391
Hope this helps!
(If your confused, I just put this in a calculator)
Answer:
2187.5 cubic meters of water
Step-by-step explanation:
Volume of rectangle = L * W * D
V = 50 * 25 * 1.75
V = 2187.5
