Answer:
1.4.5m/s^2
2.6.25m/s^2
3.15m/s^2
4.0.05m/s^2
Step-by-step explanation:
a=v-u
----
t
27-0
------ = 27/6
6
=4.5m/s^2
u=4.5m/s
v=24.5m/s
t=3.2s
(24.5-4.5)÷3.2
=20/3.2
=6.25m/s^2
v=80m/s
u=50m/s
t=2s
(80-50)÷2
15m/s^2
v=0.80m/s
u=0.50m/s
t=6s
(0.80-0.50)÷6
=0.05m/s^2
If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper
Answer: We are given there are 49 cars
Also these 49 cars are in a line stretched 528 feet.
Now the average length of the car is:
Average length = 
=
Therefore, the average length of car is 10.78 feet
Answer:
Step-by-step explanation:
The inequality will be split into two
It is know that, if a<b<c
Then a<b and b<c
-8<2x-4<4
Apply that to this
Then,
-8<2x-4. Equation 1
Also,
2x-4<4 equation 2
Solving equation 1
-8<2x-4
Add 4 to both side of the equation
-8+4<2x-4+4
-4<2x
Divide both sides by 2
-4/2<2x/2
-2<x
Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4
Therefore,
-2<x
Then, x greater than -2
Equation 2
2x-4<4
Add 4 to both side of the inequalities
2x-4+4<4+4
2x<8
Divide both side by 2
Then,
2x/2<8/2
x<4
Therefore x is between -2 and +4.
Check attachment for graphical solution
Step-by-step explanation:
The volume of a pyramid or cone is:
V = ⅓ Ah
where A is the area of the base and h is the height.
The pyramid has a square base, so:
A = s²
A = (7 cm)²
A = 49 cm²
The height is 14 cm, so the volume is:
V = ⅓ (49 cm²) (14 cm)
V = 686/3 cm³
V ≈ 228.67 cm³