Answer:
Step-by-step explanation:
Given
See attachment for prism
Required
Find x
The prism has a regular hexagon base
The base area is calculated as:
This gives:
Side x represents the height.
So, we have:
Make x the subject
--- approximated
Let
C=Cynthia's age today
A=Abigail's age today
then
at all times
A=C+8......................(1)
twenty years ago,
A-20=3(C-20)
simplifying
A=3C-40...................(2)
Equate (1) and (2),
C+8=3C-40
8+40=3C-C
C=24
=>
A=32
Check: A-C=8... ok A-20=12 C-20=4 => (A-20)=3(C-20) ...ok
Answer:
Abigail is 32, Cynthia is 24.
Distribute ^4 to both 2 and q^5
2^4 = 2 x 2 x 2 x 2 = 16
(q^5)^4 = q^20
16(q^20) = 16q^20
16q^20 is your answer
hope this helps
