Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
LOGa(n)=b i hope this helps.
Answer:
Sides/diagonals are congruent
Step-by-step explanation:
If the distance formula is used to determine the type of quadrilateral, then we are interested in knowing whether the opposite sides are congruent or adjacent sides are congruent.
We can also use the length of diagonals to determine which type of quadrilateral.
For instance the square has all sides equal.
The diagonals of the rectangle are congruent.
25 dollars I think. Use a calculator if necessary.
It would be taking the median, since the data distribution is skewed to the right.
The reason for this is that half of the numbers occupy a small space of between 7 and 8. Therefore, the extreme values on the right can give you a misrepresentation of the data if you use the mean, which is why is would be more accurate to use the median instead of the mean.