Answer:
765 miles
Step-by-step explanation:
Find the rate (mph) and then multiply the result by 9 hours:
340 mi
------------- * 9 hrs = 765 miles
4 hrs
√8 = √(4x2) = 2√2
4√2 =4√2
2√2-4√2 = -2√2
Answer:
Rational
Step-by-step explanation:
It can be expressed as the ratio of two integers.
i.e. 0.01011011101111 = 1 011 011 101 111 / 100 000 000 000 000
3.35 - 3.10 = .25
.25/3.35 = .0746
.0746*100 = 7.46 or 7.5 rounded
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
