Answer:
3m == 5w, that means for such unit, there is a 2 person difference
30 person difference = 30/2 = 15units
and again one unit means 3m and 5w
so 15*3men, and 15*5women
and you can check the difference is 30
Answer:
yes
Step-by-step explanation:
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
<h3>
How to s
olve the d
imens
ion?</h3>
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
Answer:
(x1,y1) is (2,7)
(x2,y2) is (0,1)
Step-by-step explanation:
Points:
(x1,y1) is (2,7)
(x2,y2) is (0,1)
Point-slope form is:
(y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)
y - 7 =( (-6)/(0-2) )(x-2)
y - 7 = 3x - 6
y = 3x + 1 [slope-intercept form]
Check:
Is (2,7) on the line:
7 = 3(2) + 1 ?
y = 7 ?yes
Is (0,1) on the line:
1 = 3(0) + 1 ?
1 = 1 ?yes
The angle of pi over 2 radians is 90 degrees.
