Angle HDF is 135 degrees as well. Alternate exterior angles are congruent. :)
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Well the volume of dirt she needs to remove is equal to length*width*height=6.2*4.9*0.225=6.8355
Now let's find how many bags she needs.
To solve for this, simply divide room in bags from total room.
6.8355/0.87=7.857
Thus Zoe has barely enough, but enough bags.
Answer:
24.
Step-by-step explanation:
By definition, factorial 4
= 4!
= 4*3*2*1
= 24.
a common what? denominator?
