Answer:
21 feet (20.977)
Step-by-step explanation:
1. Draw a picture, it makes it much easier. Draw a right triangle with the vertical labeled 25 and the horizontal labeled X, then label the angle adjacent to the horizontal and hypotenuse 40°
2. Use tangent because X is opposite of 40 and 25 is adjacent to angle 40. the equation would be Tan40/1 = X/25
3. You then cross multiply to get 25Tan(40) = X
4 You then plug it into a calculator and get the full answer of 20.97749078, but I always round up to either 20.98 or 21 feet, whatever your teacher allows
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
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25