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
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
and
to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Answer:
D
Step-by-step explanation:
so total travel by x bikers = 50 multiplied by x = 50x
According to the question
50x = 560
dividing 560 miles by 50 miles per biker give ya 11.2 or approximately 12 bikers.
Answer:
$28
Step-by-step explanation:
40% of 20 is 8
20 + 8 = 28
Answer:
104.73cm²
Step-by-step explanation:
AREA OF SEMI CIRCLE
9cm-4cm = 5cm
5cm is the radius of the semi-circle
(πr²)/2 =
25π/2 = 12.5π
AREA OF SQUARE
16cm*9cm = 144cm²
AREA OF THE FIGURE SHOWN
144cm² - 12.5cmπ²
144cm² - 39.27cm² = 104.73cm²
