Answer: 
<u>Step-by-step explanation:</u>
First pick (blue) and Second pick (red)
x 
= 
= 
=
3% is the decimal 0.03 .
To make a number 3% bigger, multiply it by 1.03 .
The ' 1 ' part is the amount that's already there, and
the ' .03 ' part is the amount to be added onto it.
Surface area = sum of 2 triangles + sum of the 3 rectangles
= 2 * 84 + 18*24 + 18*25 + 18*7 = 1176 ft^2
volume = 1/2*7 *24 * 18 = 1512 ft^3
surface area to volume = 1176:1512 = 0.78 which is less than 1.
so the company wil manufacture it.
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
