Answer:
THE OPPOSITE ANGLES ARE CONGRUENT
ANGLE A=70^
ANGLE P=20+2X25
P=25
THEREFORE ANSWER WILL COME 70
its just the form of counting and not necessarily the different number
The coordinates of centroid are: (10/3, 3)
Step-by-step explanation:
The formula for calculating centroid of a triangle is:
Here (x1,y1) are the coordinates of first vertex
(x2,y2) are the coordinates of second vertex
(x3,y3) are the coordinates of third vertex
Given:
G(-2,5) = (x1,y1)
H(6,5) =(x2,y2)
J(6,-1) = (x3,y3)
Let I be the centroid of the triangle
Putting the values in the formula
The coordinates of centroid are: (10/3, 3)
Keywords: Centroid, Triangle
Learn more about centroid at:
#LearnwithBrainly
Answer:
the right answer is the third one
L=2W, V=LWH using L=2W in the Volume equation we get:
V=2W^2H and V=10 so
10=2W^2H now we can solve this for H
H=5/W^2 and L=2W we'll need these later :)
C=20LW+12*2LH+12*2WH
C=20LW+24LH+24WH using our H and L found earlier...
C=20(2W^2)+24(2W*5/W^2)+24(W*5/W^2)
C=40W^2+240/W+120/W making a common denominator...
C=(40W^3+240+120)/W
C=(40W^3+360)/W
dC/dW=(120W^3-40W^3-360)/W^2
dC/dW=(80W^3-360)/W^2
d2C/dW2=(240W^4-160W^4+720W)/W^4
d2C/dW2=(80W^3+720)/W^3
Since d2C/dW2 is positive for all possible values of W (as W>0), when dC/dW=0, C(W) will be at an absolute minimum value...
dC/dW=0 only when 80W^3-360=0
80W^3=360
W^3=45
So our minimum cost is:
C(45^(1/3))=(40W^3+360)/45^(1/3)
C(45^(1/3))=(40*45+360)/45^(1/3)
C(45^(1/3))=2160/45^(1/3)
C≈$607.27 (to the nearest cent)
