The formula for working out speed :
speed = distance ÷ time.
substitute the numbers : 100m ÷ 10.92s.
give your answer in meters per second ( m/s )
the answer I got while working this out was:
9.2 m/s.
Explanation:
Only the reasons need be given here, as the statements are already given in your figure.
- Given
- Given
- Given
- Definition of congruent line segments
- Symmetric property of congruence
- Addition and substitution properties of equality*
- Segment addition theorem
- Definition of congruent line segments
- AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Like fractions are fractions that have the same denominator. In option D, both denominators are 7. Therefore, they are like fractions.
Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get
or
t² = 75.433
or
t = 8.68 seconds
To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
