Answer:
3rd jump
Step-by-step explanation:
The distance jumped is given in the table attached. to get the jump that do not round up to 4.7 meters, we round each of the jump to one decimal place and then select the jump that does not round up to 4.7 meters.
Therefore rounding off gives:
1st jump: 4.746 meters = 4.7 meters to one decimal place
2nd jump: 4.680 meters = 4.7 meters to one decimal place
3rd jump: 4.647 meters = 4.6 meters to one decimal place (does not round to 4.7 meters)
4th jump = 4.733 meters = 4.7 meters to one decimal place
Answer:
7)V=16257.74
8)V= 226.19
9)V=12.56
10)V=6283.18
11)r=6.631
12)h=69.05
13)V=35328.78
Step-by-step explanation:
Volume of cylinder is given by formula:
V=πr^2h
where r is radius and h is height of cylinder
7)
r=15
h=23
Putting values in formula:
V= π(15)^2(23)
=5175π
=16257.74
8)
diameter=6
r=d/2=3
height =?
Finding height by pythagoras theorem:
h^2= 10^2-6^2
=100-36
=64
h=8
Putting values in formula:
V=π(3)^2(8)
= 72π
= 226.19
9)
r= 2
h=1
Putting values in formula:
V=π(2)^2(1)
=4π
= 12.56
10)
diameter =20
r=d/2=10
h=20
Putting values in formula:
V=π(10)^2(20)
=2000π
=6283.18
Now finding the missing measures:
11)
Given V=210π
h = 15
r=?
Putting values in formula:
210π=π(r)^2(15)
r^2= 210π/15
=14π
r= 6.631
12)
V=197.82
r=3
h=?
Putting values in formula:
197.82=π(3)^2(h)
h= 197.82/9π
= 69.05
13)
r=21
h=25.5
Putting values in formula:
V= π(21)^2(25.5)
=11245.5π
=35328.78 !
Answer:
72 cubes
Step-by-step explanation:
One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)
Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
