Step-by-step explanation:
G = (z-s) ÷ r
G × r = (z- s)
Gr + s = z
Answer:
a) 17.5
b) 15.6
c) 13.3
d) 21.51
Step-by-step explanation:
The given function is equal to:
f(x)=kx^2
where
where y=23
Clearing k=0.00025
a) 
b)
c) The function is equal to:
f(x)=k(1+2x)
where y=20
k=0.0024
d) 
Answer:
x = 4.
Step-by-step explanation:
2x + 3(5x - 7) = 47
2x + 15x - 21 = 47
17x - 21 = 47
17x = 68
x = 68/17
x = 4.
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
Answer:
46
Step-by-step explanation:
