In ΔQRS, the measure of ∠S=90°, the measure of ∠R=36°, and RS = 98 feet. Find the length of QR to the nearest tenth of a foot.

The Length of the hypotenuse RQ is 121.1 feet

Step-by-step explanation:

Here angle SQR =(180-90-36)=54

through trigonometry we know that SINФ=Perpendicular/Hypotenuse

here SIN54 = RS/RQ

we know that SIN 54 =0.809

putting the values of SIN54 and RS

0.809 = 98/X

applying cross multiplication

X = 98/0.809

X = 121.1

(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