Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
Axis of symmetry for this function will be x=2 because your origin point is always the reference for the line of symmetry. In this case, it as been shifted to the right 2 units giving you x=2. Firstly, the transformation is a horizontal stretch by a factor of 10. Secondly, it is shifted 2 units to the right and finally shifted 7 units down. Remember when a constant is added or subtracted to x in a function, it is shifted the number of u its opposite of the constant. When there is a constant separate from x, such as outside parentheses or absolute value bars, it is shifted up or down the given amount.
Answer:

where
= 2
Step-by-step explanation:
512/-8 = -64
difference of n = 3
![\sqrt[3]{64} = 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%20%3D%204)

where
= 2
H(t) = -16t^2 +42t = -16t(t -2.625)
The maximum height will be reached at t=1.3125. It will be
h(1.3125) = 16*1.3125^2 ≈ 27.6 Which corresponding to the 4th selection