Answer:
Step-by-step explanation:
Given:
Length = 27/4 in
Width = 27/2 in
5.55% of the cake = 5.55/100
= 1/18
Therefore, 18 equal squares of cake where 1 piece is 5.55 % of the cake
Since, the cake is twice as long as it is wide, so that means cut half the cake (27/4 × 27/4) into 9 pieces.
Therefore, each has a side of 1/3 * 27/4
= 9/4 inches.
Answer: a
Step-by-step explanation: look at the chart
This is a problem of maxima and minima using derivative.
In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:
V = length x width x height
That is:

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:
Surface area of the square base =

Surface area of the rectangular sides =

Therefore, the total area of the cube is:

Isolating the variable y in terms of x:

Substituting this value in V:

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

Solving for x:

Solving for y:

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ftWidth = 4 ftHeight = 2 ftAnd its volume is:
Answer:
Area = 1/2 × base × height
A = 1/2 × 5 × 3,3/5
= 9
Answer:
A. 3.2% faster
B. 3.3% slower
C. 103.3%
Step-by-step explanation:
In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.
.32/9.63 = 3.2%
In the second, we take the difference and divide by Bolt's time.
.32/9.95 = 3.3%
And finally, in the last one, we take Hines' time and divide by Bolt's.
9.95/9.63 = 103.3%