Answer:


Step-by-step explanation:
Given

Solving (a): Write as inverse function

Represent a(d) as y

Swap positions of d and y

Make y the subject


Replace y with a'(d)

Prove that a(d) and a'(d) are inverse functions
and 
To do this, we prove that:

Solving for 

Substitute
for d in 




Solving for: 

Substitute 5d - 3 for d in 

Add fractions



Hence:

Area is base times height, so take the 12 and 16 and multiply them, you will get 192 which is your answer
Answer:
80
Step-by-step explanation:
Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.
32^3/5 = 8
64^2/3 = 16
81^1/4 = 3
49^1/2 = 7
125^2/3 = 25
now just put them in order from the smallest value to the largest
Volume = length x width x height
Volume = 33 x 29 x 18
= 17,226
Number of whole cubes formed by the defined volume = 17,226/3
= 5742 cubes