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.
Answer:
Distance formula. The formula for distance, if you know time (duration) and the average speed, is: d = v x t. where v is the velocity (average speed), t is the time and d is distance, so you can read it as Distance = Speed x Time. The result will depend on the unit of the speed metric, for example if speed is given in mph,
Step-by-step explanation:
A (m 1 ,n 1) and B (m 2 ,n 2) are the coordinates of the two given points in the coordinate plane.
The distance between the two points can be calculated using the distance formula, d = √ (m2 - m1)2 + (n2 - n1)2
Finally, express the given solution in proper units.
which people and businesses with higher incomes have higher tax rates is known as Progressive tax
Answer:
try 17.6
Step-by-step explanation:
for the mean you have to add all the numbers then divide the sum by the total number of numbers you added
<u>Answer:</u>
The amount of fabric needed to cover the pyramid is .
<u>Step-by-step explanation:</u>
Given, the lantern is in the shape of a square pyramid. And the lantern has to be covered by a fabric. So, the amount of fabric needed to cover the lantern can be calculated by the following formula,
where p is the perimeter of the base of the pyramid and l is the slant height.
Since, it is given that it is a lantern, the area to be covered with the fabric is its L.S.A (Lateral Surface Area) leaving the base where the lamp is lit. So, the L.S.A of the pyramid is equal to the amount of fabric required to cover the lantern.