Answer:
Step-by-step explanation:
The quadratic is
where s(t) is the height of the ball after a certain amount of time goes by. If we are looking for how long til it hits the ground, we know 2 things from that question. First we know that the height of an object on the ground is 0, and we also know that t is the time that the ball is in the air. Because the height of the ball when it's on the ground is 0, we will set s(t) equal to 0 and factor the quadratic to solve for t, the time the ball is in the air. Throw it into the quadratic formula to find those times.
which will simplify to
The 2 solutions we get from that are that
and
Now, the 2 things in math that will never be negative are distances and time, so we will disregard the negative time and go with t = 2.59 seconds. Not sure to where you need to round.
Step-by-step explanation:
is there any value for S??
Answer:
Area of circle = 9<em>π</em>
Step-by-step explanation:
Area of sector =
Its central angle =
Remove the brackets
-5a + 9b + 7a combine -5a and 7a
7a - 5a + 9b
2a + 9b Answer
Don't go any further. There is nothing else to do. These are unlike terms and cannot be reduced or combined.
Answer:
The length of the hypotenuse is 2.4m
Step-by-step explanation:
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 55°
o: opposite = 2.0m
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
we look at which meets those data between the sine, cosine and tangent
is the sine
sin α = o/ah
Now we replace the values and solve
sin 55 = 2.0/h
0.81915 = 2.0/h
h = 2.0 / 0.81915
h = 2.4415 m
round to the nearest tenth
h = 2.4415 = 2.4 m
The length of the hypotenuse is 2.4m