Answer:
3
Step-by-step explanation:
The left side of A is 1 unit
The left side of B is 3 units
The scale factor is 3
Check:
The top of A is 3 units and the top of B is 9
3*3 = 9
Answer:
Base Side Length =1.59m
Height = 3.16 m
Step-by-step explanation:
Volume of the box =
Let the base dimensions = x and y
Let the height of the box =h
<em>However, for any optimal configuration, Width = Length as varying the length and width to be other than equal reduces the volume for the same total(w+l)</em>
Volume, V=xyh=8
Since x=y
Surface Area of the box
The material for the top and bottom costs twice as much as the material for the sides.
Let the cost of the sides =$1 per square meter
Cost of the material for the sides = 4xh
Cost of the material for the top and bottom =
Therefore:
Total Cost,
Substitution of into C
To minimize C(x), we find its derivative and solve for the critical points.
To verify if it is a minimum, we use the second derivative test
Since C''(x) is greater than zero, it is a minimum point.
Recall:
Therefore, the dimensions that minimizes the cost are:
Base Side Lengths of 1.59m; and
Height of 3.16 m
These questions can be daunting at first, but they're pretty simple to solve.
First, we need to establish a common denominator. We have 2 / 3, 1 / 4, and
-4 / 3. The least common denominator we can get is by multiplying 4 and 3 together to get 12. So we will change the denominator as follows;
2 / 3, 1 / 4, -4 / 3 = 8 / 12, 3 / 12, -16 / 12
Now we can put these back into the equation.
8/12x + 3/12 = -16/12
8x + 3 = -16
It's simple math from here on out, but I'll show the process. What we can basically do now is take away the denominator because it doesn't matter now that it's common.
Subtract 3 from both sides. Now we have 8x = -19
Dividing by 8 on both sides of the equation will get you your answer.
x = -19/8
Hope this helps!
The percentage increase is 50% because 3/2=1.5
1.5-1=0.5 (1 is the same as saying the original 100%)
0.5 as a percentage is 50%
Hope this helps :)
-7 because it is integers so it’s going below sea level :) your welcome