Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:


Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

If
and
, then:


Then, the expression is
. Finally, if
, then the time is:


The stone would take approximately 10.107 seconds to fall 500 meters.
Answer:
5√3 / 2
Step-by-step explanation:
tan 30 = ( 5 / 2 ) / y
1 / √3 = 5 / 2y
2y = 5√3
y = 5√3 / 2
The solution to the equation would be 21.5
Why?
If you do the equation backwards
30 - 8.5 = x
You would get 21.5
You can plug it into the first equation to check!
:)
Answer: 
Step-by-step explanation:
Given
The odds against winning in a chess tournament are 1 to 11.
Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

Probability of non-occurrence i.e. she wins the first prize is
