PLEASE HELP !!
c = 49 cm, a = 41°. Find B in degrees. Round to 2 decimal places.

49.03 degrees

Step-by-step explanation:

c = 49, = 41

We can solve for if we first find b.

Remember: SOH CAH TOA

Cosine = Adj/Hypotenuse

So, Cos (41) = b/49

49 x (Cos 41) = b

49 x .755 = b

b = 36.99

sin = Opp/Hyp = b/49 = 36.99/49 = .755

β = inverse sin (.755) = 49.03°    (Inverse sin is designated by sin⁻¹ on your calculator)

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0