Answer:
As per the statement:
The path that the object takes as it falls to the ground can be modeled by
h =-16t^2 + 80t + 300
where
h is the height of the objects and
t is the time (in seconds)
At t = 0 , h = 300 ft
When the objects hit the ground, h = 0
then;
-16t^2+80t+300=0
For a quadratic equation: ax^2+bx+c=0 ......[1]
the solution for the equation is given by:
On comparing the given equation with [1] we have;
a = -16 ,b = 80 and c = 300
then;
Simplify:
= -2.5 sec and = 7.5 sec
Time can't be in negative;
therefore, the time it took the object to hit the ground is 7.5 sec
Answer:
30°
Step-by-step explanation:
A dilatation does not change the size of the angles in the triangles only the length of the sides.
ΔABC and ΔXYZ are therefore similar and corresponding angles are congruent, hence
∠X = ∠A = 50°
∠Y = ∠B = 100°
The sum of the 3 angles in the triangle = 180°, thus
∠Z = 180° - (50 + 100)° = 180° - 150° = 30°