Abanner is made of a square and a semicircle. the square has side lengths of 24 inches. one side of the square is also the diameter of the semicircle. what is the total area of the banner? use 3.14 for π.

7,536

Step-by-step explanation:

The total area of the banner is 802.08 in².  

Step-by-step explanation:  

Separate the banner into simpler shapes as described in the problem: a square and a semicircle.  

Find the area of the simpler figures.  

Square  

A = s2  

A = 24 · 24  

A = 576  

The area of the square is 576 in2.  

Semicircle  

A =   1/ 2  

πr2  

A =   1/ 2  

(3.14) (12)2  

A =   1/ 2  

(3.14) (144)  

A = 226.08  

The area of the semicircle is 226.08 in2.  

Find the area of the banner.  

A = 576 + 226.08  

A = 802.08  

The total area of the banner is 802.08 in².

(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

answerthe vertex form

step-by-step explanation: