bearing in mind that the centroid in a triangle cuts each of the three medians in a 2:1 ratio.
since we know that A C = 12, let's split it in a 2:1 ratio then, cleary from the picture the larger is F C, so F C : A F is on a 2:1 ratio.
![\bf A C=A F+F C\qquad \qquad \cfrac{F C}{A F}=\cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{12}{2+1}}{1\cdot \frac{12}{2+1}}\implies \cfrac{2\cdot 4}{1\cdot 4}\implies \cfrac{8}{4}](https://tex.z-dn.net/?f=%5Cbf%20A%20C%3DA%20F%2BF%20C%5Cqquad%20%5Cqquad%20%5Ccfrac%7BF%20C%7D%7BA%20F%7D%3D%5Ccfrac%7B2%7D%7B1%7D%5Cqquad%20%5Cqquad%20%5Ccfrac%7B2%5Ccdot%20%5Cfrac%7B12%7D%7B2%2B1%7D%7D%7B1%5Ccdot%20%5Cfrac%7B12%7D%7B2%2B1%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%7D%7B1%5Ccdot%204%7D%5Cimplies%20%5Ccfrac%7B8%7D%7B4%7D)
Answer:
g(-3)=9
Step-by-step explanation:
Replace all of the (x) with -3
So the new equation
g(-3)= -2(-3)+3
Now simplify
g(-3)= 6+3
Simplify further
g(-3)= 9
Hope this helps!
Answer:
![41\%](https://tex.z-dn.net/?f=41%5C%25)
Step-by-step explanation:
we have the ratio
![\frac{41}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B41%7D%7B100%7D)
To write as percent, multiply the ratio by 100
so
![\frac{41}{100}*100=41*100/100=41\%](https://tex.z-dn.net/?f=%5Cfrac%7B41%7D%7B100%7D%2A100%3D41%2A100%2F100%3D41%5C%25)
<span>The length of an arc, L = theta/360 * 2 * pie * r
Where theta = 81 and r = 10ft = 3.048m
So length = 81/360 * 2 * pie * 3.048
L = * 0.225 * 2 * pie * 3.048
L = 1.37 * pie
L = pie. Option A</span>