10 POINTS!!! Label the sides of the triangle (a, b, and c). Use the Law of Cosines and the Law of Sines to solve the triangle. Round your answer to the nearest whole number.

  c = 29, A = 48°, B = 54°

Step-by-step explanation:

The unknown side is c. Using the last Law of Cosines formula, we find it to be ...

  c² = a² +b² -2ab·cos(C)

  c² = 22² +24² -2(22)(24)cos(78°) ≈ 840.445

  c ≈ √840.445 ≈ 29 . . . . . rounded to integer

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The angle at B can be found using the Law of Sines. We want the angle in the numerator, so we can write the equation as ...

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ arcsin(24/28.9904×sin(78°))

  B ≈ 54°

The remaining angle can be found using the sum of angles of a triangle:

  A +B +C = 180°

  A = 180° -B -C = 180° -54° -78° = 48°

The solution to the triangle is ...

  c = 29, A = 48°, B = 54°

(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

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.