Use the law of cosines to find the value of cos theta. round your answer to two decimal places. the opposite side of the theta is 5.7. adjacent to the theta is 9.8. hypotenuse is 10.2 a. 0.35 b. 0.23 c. 0.84 d. 1.23

C) 0.84

Step-by-step explanation:

Since According to the law of cosines ,

Where,

b is the opposite side of

And, a and b are the adjacent sides of .

Here, c= 5.7 , a = 9.8 and b= 10.2

Therefore,

⇒

⇒

⇒≈0.84

Thus, Option C is correct.

she will most likely have 33  

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47