-np-90+90<30+90
-np<120
-np/-p<120/-p
= n>-120/p
And the answer is = n> -120/p
The one-to-one functions given as sets of points and their possible inverse functions are given as
h = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = { (1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = { (1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = { (1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
h⁻¹ = { (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
i⁻¹ = { (1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
g⁻¹ = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
f⁻¹ = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
The inverse function of a given function should have the coordinates reversed.
Therefore the matches between the given functions and their inverse functions are given in the table below.
function Inverse function
----------- ------------------------
h h⁻¹
g g⁻¹
f f⁻¹
i i⁻¹
Answer:
The given functions and their corresponding inverses are correct.
Answer:
5.143m
Step-by-step explanation:
Since we are not asked what to find, we can find the height of the building
Given
Length of ladder (hypotenuse) = 6m
angle of elevation = 59°
Required
Height of building H (opposite)
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 59 = H/6
H = 6sin59
H = 6(0.85716)
H =5.143
Hence the height of the building is 5.143m
