Laws of Sines special cases. Find each measurement. Round your answer to the nearest tenth. Part 1. Please show your work. #1-4

Apply sine theorem:

1.

c/sinC = a/sinA

=> sinC = sinA x (c/a) = sin70 x 28/24 = 1.096 => Invalid ( 1.096 > 1)

=> C is undefined

=> B is undefined

2.

c/sinC = b/sinB

=> sinB = sinc x (b/c) = sin40 x 34/33 = 0.662

=> B = arcsin(0.662) = 41.47 deg

3.

c/sinC = b/sinB

=> sinB = sinC x (b/c) = sin29 x 26/6 = 2.101 => Invalid ( 2.101 > 1)

=> B is undefined

=> A is undefined

4.

c/sinC = a/sinA

=> sinC = sinA x (c/a) = sin28 x 20/16 = 0.587

=> C = arcsin(0.587) = 35.93 deg

Hope this helps!

:)

1. No triangle formed

2. 41.5°

3. No triangle formed

4. 35.9°

Step-by-step explanation:

1. a/sinA = c/sinC

24/sin70 = 28/sinC

sinC = 1.096308058

Triangle not possible

2. c/sinC = b/sinB

33/sin40 = 34/sinB

sinB = 0.6622660221

B = 41.47292235

3. b/sinB = c/sinC

26/sinB = 6/sin29

sinB = 2.100841688

Triangle not possible

4. a/sinA = c/sinC

16/sin28 = 20/sinC

sinC = 0.5868394535

C = 35.93304554

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

(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