Answer
-10
Step-by-step explanation:
-8w-7=9
add 7 to both sides
-8w=16
divide by negative 8 on both sides
w=-2
w-8=-10
Positive product:
(-2/5)(-2/5)
(2/5)(2/5)
negative product:
(-2/5)(2/5)
(2/5)(-2/5)
Answer:
Approximately 51 Yards
Step-by-step explanation:
You can solve this by cutting the square in half to make a right triangle. Than, you can use the Pythagorean theorem to solve for the hypotenuse.
a^2+b^2=c^2
36^2+36^2=c^2
1296+1296=c^2
2592=c^2
50.9116
Round to the nearest whole number since the question says approximately: 51
Answer:
Step-by-step explanation:
Let the side of the square base be x
h be the height of the box
Volume V = x²h
13500 = x²h
h = 13500/x² ..... 1
Surface area = x² + 2xh + 2xh
Surface area S = x² + 4xh ...... 2
Substitute 1 into 2;
From 2; S = x² + 4xh
S = x² + 4x(13500/x²)
S = x² + 54000/x
To minimize the amount of material used; dS/dx = 0
dS/dx = 2x - 54000/x²
0 = 2x - 54000/x²
0 = 2x³ - 54000
2x³ = 54000
x³ = 27000
x = ∛27000
x = 30cm
Since V = x²h
13500 = 30²h
h = 13500/900
h = 15cm
Hence the dimensions of the box that minimize the amount of material used is 30cm by 30cm by 15cm
