Answer:
69 because 3 is half of 6
Step-by-step explanation:
hope this helped
Jeanette is not correct. In an arithmetic sequence, to find the next number, you have to add the common difference. If the first number is -27, to find the next number you have to add 5, making the next number -22. The pattern of adding 5 would continue making the first 5 terms of the sequence : -27,-22,-17,-12,- 7.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Answer:
156 
Step-by-step explanation:
find the areas of all the faces and add them up
area of a rectangle: 
area of a trapezoid: 

the area of the trapezoid is multiplied by 2 because there's a top and bottom
Answer:
-b+3
Step-by-step explanation:
B-2b=-b
-3+6=3