Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when 
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
Answer:
x-intercept is (40/7, 0) and y-intercept is (0, 5)
Step-by-step explanation:
x-intercept ==> y-coordinate is 0 ==> y=0
y-intercept ==> x-coordinate is 0 ==> x=0
because the function is 7x + 8y = 40
when y = 0 ==> 7x = 40 ==> x = 40/7
so the x-intercept is (40/7, 0)
when x = 0 ==> 8y = 40 ==> y = 5
so the y-intercept is (0,5)
Answer;
4x10^nxX-3x
Step-by-step explanation:
Xx(4x10^n-3)
Measure of x is 74 degrees
Answer:
The slope of the line passing through the given points (-2,-7) and (9,-7) is m=0
Step-by-step explanation:
Given that the line passing through the points (-2,-7) and (9,-7)
To find the slope of the line passing through the points :
Let 
and 
be the given points (-2,-7) and (9,-7) respectively
Substitute the points in the formula
Therefore m=0
Therefore Slope m is 0
Therefore the slope of the line passing through the given points (-2,-7) and (9,-7) is m=0
