57/6 = 1/x
57 = 6x
x = 0.11 miles per minute
A circle, of radius r = radius of the sphere
you can think of it in terms of projection the plan projection of the sphere is a circle.
3272 I 2
1636 I 2
818 I 2
409 I 409 so bc. 409 is a prime number has factors of 409 and 1
1 I
so the expanded form of 3272 will be 2^3 *409
hope helped
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
The answer to the first question is b
I don’t know the answer to the second one sorry
