Find the area of the triangle with the given measurements. round the solution to the nearest hundredth if necessary. b = 74°, a = 14 cm, c = 20 cm
a. 38.59 cm2
b. 134.58 cm2
c. 140 cm2
d. 269.15 cm2

Option B. 134.58 cm²

Step-by-step explanation:

Since one of a triangle with two sides and angle opposite to the third side is represented by area = (a.c sinθ)

Since a = 14 cm

          c = 20 cm

  and  θ = 74°

By putting thee values in the formula

Area =   (20) (14) (sin74°)

        = 140(0.9613)

        = 134.58 cm²

Therefore, option B is the answer.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

if you need , reply with more info. u.