9cm
3 cm
ab is parallel to dc.
ad = 9 cm, dc = 3 cm. angle bcd = 35°
angle abd = 90°
calculate the size of angle bad.
give your answer correct to one decimal place.

∴ ∠BAD = (0.2044) = 11.8°

Step-by-step explanation:

i) AD = 9 cm

ii) DC = 3 cm

iii) ∠BCD = 35°

iv) Since AB is parallel to DC and ∠ABD = 90°  then we can conclude that ∠BDC = 90°.

v) = 0.6128      ∴ BD  = 3 0.6128 = 1.84 cm

vi) ∴ sin(∠ BAD ) =      ⇒     sin(∠ BAD ) = = 0.2044

     ∴ ∠BAD = (0.2044) = 11.8°

(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