This problem can be solved in two ways, the long way, or the short way.
1. The long way
We know that the base of the triangle is along the x-axis, and the length of the base is 20.
The centre of mass is located at 2/3 of the distance from vertex (3,4) along the median, which cuts the base at (10,0).
Therefore the centre of mass is located at
x=3+(10-3)*2/3=23/3
y=4/3
2. The short way
It turns out that the centre of mass of a triangle sheet is located at the mean of the coordinates of the three vertices, i.e.
CG=((0+20+3)/3, (0+0+4)/3)=(23/3, 4/3) as before.
Answer:
a) 88
b) 162 $
Step-by-step explanation:
Given Bryan sold 9 more flowers than Elan
1/4 x - 1/5 x = 9
x/20 = 9
x = 180
Flowers with Bryan = 45
Flowers with Elan = 36
45+36 = 81
Remaining flowers = 99
Flowers with Fiona = 8/9 * 99 = 88
<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>√</em><em>7</em><em>4</em><em> </em><em>units</em><em>.</em>
<em>Pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> full</em><em> solution</em>
<em>H</em><em>ope</em><em> it</em><em> helps</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
6+4• (5-7)^2
(5-7)^2
-2^2
4
6+4+4
=14
