9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
A =bh
Plug in values and solve for height (h).
A=3.36
b=2.8
3.36 = 2.8h
/2.8 /2.8
1.2 = h
Base and Height doubled:
b = 2.8
h = 1.2
2(2.8)=5.6
2(1.2)=2.4
Plug in new b and h to area equation given to find area:
5.6(2.4) = 13.44
Resulting parallelogram area = 13.44 ft^2
24 - 16 = 8
The percent increase is 8
Yes the relation is a function no number repeat
