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
Answer:
3636 hours
Step-by-step explanation:
The calculation of duration of baby sloth sleep is shown below:-
A three-toes sloth usually sleeps is
= 101 hours per week.
Number of week is
= 36
Since we need to compute the duration of baby sloth's sleep so we need to multiply the number of weeks with number of hours per week
Therefore,
The duration of baby sloth's sleep in 36 weeks
= 36 x 101
= 3636 hours
Answer:
6
Step-by-step explanation:
the answer would be 5.70588235294, but if you are rounding to the nearest tenth, its 6
5. complementary = 80 degrees
supplementary = 170 degrees
6. complementary = 47.5 degrees
supplementary = 137.5 degrees
7. complementary = 10 degrees
supplementary = 100 degrees
8. false
9. true
10. true
11. true
12. false
13. true
14. false