Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:

Take RHS
8+ 27
We can write 8 as
and 27 as
.
then;
8+27 = 
Now, use the sum of cubes identity;
here a =2 and b = 3

or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
24=3r/4
Multiply both sides by 4
24=(3r)/4
(24)*(4)=(3r/4)*(4)
96=3r
Flip the equation
3r=96
Divide both sides by 3
3r/3=96/3
r=32
Now lets check if the answer is good
24=3(32)/4
24= 96/4
24=24
You see , the answer is good .
I hope that's help ! Let me know .
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that
and
, then the area of the regular nonagon is:

The area of the regular nonagon is 7921.8 square inches.