Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting
in (i), we get
![a=(780)q+38](https://tex.z-dn.net/?f=a%3D%28780%29q%2B38)
So, given number is in the form of
, where q is an integer.
On dividing
by 26, we get
![\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}](https://tex.z-dn.net/?f=%5Cdfrac%7B780q%2B38%7D%7B26%7D%3D%5Cdfrac%7B780q%7D%7B26%7D%2B%5Cdfrac%7B38%7D%7B26%7D)
![\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}](https://tex.z-dn.net/?f=%5Cdfrac%7B780q%2B38%7D%7B26%7D%3D30q%2B%5Cdfrac%7B26%2B12%7D%7B26%7D)
![\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}](https://tex.z-dn.net/?f=%5Cdfrac%7B780q%2B38%7D%7B26%7D%3D30q%2B%5Cdfrac%7B26%7D%7B26%7D%2B%5Cdfrac%7B12%7D%7B26%7D)
![\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}](https://tex.z-dn.net/?f=%5Cdfrac%7B780q%2B38%7D%7B26%7D%3D30q%2B1%2B%5Cdfrac%7B12%7D%7B26%7D)
Since q is an integer, therefore (30q+1) is also an integer but
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
Answer:
3 1/5 is 3.2 as a mixed number
Step-by-step explanation:
solution:- from LHS 1-cos²x/sinx
∵ 1-cos²x = sin²x
∴ sin²x /sinx = sinx
from RHS tanx × cosx
∵tanx = sinx×cosx
∴ sinx/ cosx × cosx = sinx
Since, LHS = RHS proved ___
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
Answer:
Step-by-step explanation:
beruusdjkbajkdbhksabfbhkfhasfkA cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?vvA cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?A cylindrical-shaped water tank has a diameter of 4 feet and is 12 feet tall. Which is closest to the volume of this tank?