Answer:
- ength (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
Step-by-step explanation:
Let x is the side of identical squares
By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:
- length (l) : (10-2x)
- width(w): (10-2x)
- height(h): x
The volume will be:
V = (10-2x) (10-2x) x
<=> V = (10x-2
) (10-2x)
<=> V = 100x -20 - 20 + 4
<=> V = 4 - 40 + 100x
To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume
dV/dx = 12 -80x + 100
<=> 12 -80x + 100 =0
<=> x = 5 or x= 5/3
You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3
=>
- length (l) : (10-2*5/3) = 20/3
- width(w): (10 - 2*5/3) = 20/3
- height(h): 5/3
Juan's time = x
Yumi's time = x + 2
Yumi's distance = 3 miles
Juan's distance = 2 miles
Rate = distance/time
Juan's rate = 2/x
Yumi's rate = 3/(x + 2)
The rates are equal so:
2/x = 3/(x + 2)
2x + 4 = 3x
x = 4 hours
Yumi's time = 4 + 2 = 6 hours
The answer is D.
Answer:
I think it goes like this : 20:4=5 so there's five monsters in the room
Step-by-step explanation:
if that's the case of this question it should go like this:
9(rooms)×5(monsters per room)= 45 monsters
30(monsters):5(monsters per room)=6 rooms
13(rooms)×5(monsters per room)=65 monsters
35(monsters):5(monsters per room)=7 rooms
I hope you do well in your assignment.
I hope I helped at least a little!
The length of AB will be 10 units. Option B is corect. The formula for the distance between the two points is applied in a given problem.
<h3>What is the distance between the two points?</h3>
The length of the line segment connecting two places is the distance between them.
The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)=(-2,-4)
(x₂, y₂)= (-8, 4)
The distance between the two points is found as;
Hence, option B is corect.
To learn more about the distance between the two points, refer to;
brainly.com/question/16410393
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