Answer:
1) <11 and <14 are Same-Side Exterior Angles causing them to be supplementary.
2. <8 and <9 are Same-Side Interior Angles causing them to be supplementary.
Step-by-step explanation:
See answer above.
Answer: The surface area of each cube is 24 ft² (24 square feet)
Step-by-step explanation: The boxes according to the question are shaped like cubes, which means the shape we have here has square faces on all sides. Also the boxes have been opened up into nets and this shows each box as having 6 faces.
The area of each face is derived as follows;
Area = L x W
Area = 2 x 2
Area = 4 ft²
Having calculated the surface area of each face, a box or cube with 6 faces will have its surface area as;
Area of box = Face area x 6
Area of box = 4 x 6
Area of box = 24 ft²
Therefore in designing labels for all of the boxes, Raj would need 24 square feet of label for each box.
Answer:
What you need???
Step-by-step explanation:
Answer:
The maximum volume is: 11.52 *10.52*2.74 = 332.06 
Step-by-step explanation:
Let x is the side of the square in inches.(x >0)
The volume of the resulting box when the flaps are folded up can be expressed as:
V = x (17 -2x)(16-2x)
= (17x -2
)(16-2x)
= 
- 66 + 272x
To find the value of x which yields the maximum of volume (V), take the first derivative of this equation and set it equal to zero.
= 12 - 66x + 272
Solve 12 - 132x + 272 = 0
<=> x = 2.74
The dimensions of the box are:
Length: (17 -2x) = (17 -2*2.74) = 11.52
Width: (16-2x) = (16-2*2.74) = 10.52
High: x = 2.74
So the maximum volume is: 11.52 *10.52*2.74 = 332.06
