Da Hamework Amando Guerrera Google Chrame Secure httpswww ma

Da Hamework Amando Guerrera Google Chrame Secure https://www math 1 com Student PlayerHomework.aspx?home orkld=432363100&questionld;=7&flushed;=false&cld;=4520636&centerwinsyes; 2017 Sunimer 1 MA 2412 M01 M-Th 9.20 12.00 Armando Guerrero | 7/5/17 6.04 PM Homework: Ch 6 Sec 2 Law of Cosines Score: 0 of 1 pt X6.2.33 The three circles are arranged so that they touch each other, as shown in the ligure. Use the given radi lor the crcles wilh centers A, B, and C, respectively, ta salve Save 90112 (9 complete) HW Score: 39.58%, 4.75 of 12 pts Question Help riangle 5.5, 4, 3 Do not round untl the final answer. Then round to the nearest degree as needed) Do not round until the final answer. Then round to the nearest degres as neaded) Do not rourid until the final answer Then round to the nearest degree as needed) Enter your answer in the edit fields and then click Check Answer Clear Al Check Answer 7:04 PM

Solution

AC \'b\'= 5.5 + 3 = 8.5

AB \'c\' = 5.5 + 4 = 9.5

BC \'a\' = 4 + 3 = 7

applying law of cosines to find the angles

a^2 = b^2 + c^2 - 2bc cos A

A = cos^-1 [ 8.5^2 + 9.5^2 - 7^2 ]/2*8.5*9.5

A = 45 degrees

finding B

B = cos^-1 [ 7^2 + 9.5^2 - 8.5^2 ] / 2*7*9.5

B = 60 degrees

C = 180 - ( 60 + 45 )

C = 75 degrees