Answer:
21.5secs
Step-by-step explanation:
Given the function that models the height of an object as
h(t) = -16t^2+ 344t
The object hit the ground at h(t) = 0
Substitute
0 = -16t^2+ 344t
16t^2 = 344t
16t = 344
t = 344/16
t = 21.5
Hence it takes 21.5secs for the object to hit the ground
Given:
The value is
.
To find:
The values from the given options which are equal to the given value.
Solution:
We have,

It can be written as:

From the standard trigonometric table, we get






From the above values it is clear that the value of
and
are equal to
.
Therefore,
and
and equal to
. So, options B and C are correct.
2 = 47 degrees
1 = 133 degrees
3 = 133 degrees
2 is opposite of x, so the angles are equal. Angle 2 is 47 degrees
A straight line is 180 degrees. Subtract 47 from 180 to get 133. Therefore, Angle 1 is 133 degrees. Because Angle 3 is opposite of Angle 1, it has the same angle as Angle 1. So Angle 3 is 133 degrees.
40x+20=1000
40x-20=1000-20
40x=980
=
x=24.5
It would take 24 and a half months to spend $1000 for the gym membership