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2 answers:
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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:
Fencing needed = 20.8 units
Step-by-step explanation:
From the figure attached,
Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).
We have to find the length of fence required to cover the triangular garden.
Amount of fencing required = Perimeter of the triangular garden
Perimeter of the garden = AB + BC + AC
Formula to get the distance between A and B,
d =
AB = =
BC = =
AC = =
Perimeter =
= 6.08 + 6.08 + 8.60
= 20.76
≈ 20.8 units
Therefore, amount of fencing required to cover the triangular park is 20.8 units.