Answer:
Step-by-step explanation:
5
Answer:
6.5 seconds
Step-by-step explanation:
Keep in mind that when
, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds
Answer:
see below
Step-by-step explanation:
Clearly, if you turn the figure sideways or upside down (rotate 90° or 180°), you do not have the same figure. It has no rotational symmetry.
However, if you reverse it left-to-right, you get exactly the same figure. So, it has line symmetry about a vertical center line.
So the formula for the area of a triangle is
(b = base, h = height). In this case, by counting from (-3,-3) to (-3,2) the height is 5 and the base is 4 counting from (-3,2) to (1,2).
Using this info, we can form the equation
and solve from there.

Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ