9514 1404 393
Answer:
(b) 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember that ...
Sin = Opposite/Hypotenuse
sin(C) = AT/CT
sin(C) = 24/25
we have

<u>Find the greatest common factor GCF</u>
we know that

so
The GCF is equal to 
therefore

<u>the answer is</u>
The number is 
This is a division of polynomials
8x^3 - 28x + 61 | 2x + 5
-----------------------
- 8x^3 - 20x^2 4x^2 - 10x + 11x
---------------------------------
0 - 20x^2 - 28x + 61
+20x^2 +50x
------------------------
0 +22x +61
-22x -55
----------------
6
Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:
4x^2 - 10x + 11x + [ 6/ ( 2x + 5)