The answer is 3.88888888889
Given:
Point G is the centroid of triangle ABC.
FG = x + 8 and AG = 6x - 4
To find:
The value of the variable x.
Solution:
Using rule of centroid:




Multiply by 3 on both sides, we get
⇒ 3(6x - 4) = 2(7x + 4)
⇒ 18x - 12 = 14x + 8
Subtract 14x from both sides.
⇒ 4x - 12 = 8
Add 12 on both sides.
⇒ 4x = 20
Divide by 4 on both sides.
⇒ x = 5
The value of x is 5.
Answer:
214....
Step-by-step explanation:
If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5
The given expression can be written as:
4/(216)-2/3+1/(256)-3/4+2/(243)-1/5
This expression has three terms.
Notice that the exponents are negative:
We will change the division into multiplication so that the exponents will become positive;
4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5
If we multiply 6 three times it will give us 6^3=6*6*6=216
If we multiply 4 four times it will give us 4^4=4*4*4*4=256
If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243
So we will write it as:
=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5
=4(6)^2+(4)^3+2(3)
=4*36+64+6
=144+64+6
=214
The answer is 214....
Answer:
Just count and find the area of the units shown below,
6 x 2 = 12, 12 divided by 2 = 6
6 x 2(two of the triangles) = 12
7 x 3 = 21
21 x 2 = 42
7 x 6 = 42
Add all given areas:
12 + 42 + 42 = 96 is your answer