Given the triangle below, find the measure of angle
A
. Picture is not drawn to scale

A = 62.35°

A = 62° (Appropriately)

Step-by-step explanation:

To solve for the value of angle A, we employ the COSINE FORMULA.

cos A = (b² + c² - a²) / 2bc

cos B = (a² + c² - b²) / 2ac

cos C = (a² + b² - c²) / 2ab

Where:

A,B,C are the angles of the triangle.

a,b,c are the lengths of the sides

a= 20

b= 16

c= 21

Cos A = (16² + 21² - 20²) / 2*20*16

Cos A = (256 + 441 - 400) / 640

Cos A = 297 / 640

Cos A = 0.464

A = 62.35

A = 62 Appropriately.

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(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