What is the area of triangle DEF?
1 answer:
Answer:
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
so
where
a, b and c are the length sides of triangle
s is the semi-perimeter of triangle
we have
<em>Find the semi-perimeter s </em>
s=
Find the area of triangle
simplify
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Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
<h3>What is the quadratic function for the projectile's height?</h3>It is given by:
In which:
- v(0) is the initial velocity.
- h(0) is the initial height.
Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
More can be learned about quadratic functions at brainly.com/question/24737967