Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=
Differentiate w.r.t x
Again differentiate w.r.t x
Substitute x=6
Substitute x=5/3
Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
Is there more to this question?
This is a GEOMETRIC sequence as each number is being multiplied by 1/4
5 : 7 = 5x : 7x
Sum of a pair <span>of consecutive angles of a parallelogram = 180⁰.
5x+7x=180
12x = 180
x= 15
5x=15*5 = 75⁰
7x=15*7 = 105⁰
Two angles are 75⁰ each,
and 2 angles 105⁰ each.
Check:
Sum of angles in the </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True
</span>
