Write 27% as a fraction.
2 answers:
You might be interested in
Answer:
1.81 inch by 8.38 inch by 6.38 inch
Smallest Value=1.81 inch
Largest Value=8.38 inch
Step-by-step explanation:
The cardboard is 12 in. long and 10 in. wide
Let the length of the square cut off=x
Length of the box=12-2x
Width of the box=10-2x
Height of the box=x
Volume of the box=lwh
V=x(12-2x)(10-2x)
The dimensions of the box that will yield maximum volume occurs at the point where the derivative of V=0.
Thus:
4(30-22x+3x²)=0
Since 4≠0
3x²-22x+30=0
Solving for x using a calculator gives:
x=1.81 or x=5.52
x cannot be 5.52 inch since the width is 10 inch and removing 2(5.52) from the width gives a negative result.
When x=1.81 inch
Length of the box=12-2x=12-2(1.81)=8.38inch
Width of the box=10-2x=10-2(1.81)=6.38 inch
Therefore, the dimensions at which the Volume is maximum are: 1.81 inch by 8.38 inch by 6.38 inch
Answer:
Step-by-step explanation:
If AB = AD, then you have that triangle ABD is an isosceles triangle (it has two equal sides). If it is isosceles, then the angles opposite to angles those equal sides must be equal. Then angle ADB = . and by the property of all internal angles of a triangle have to add to
, we get that: