12) For the problem below, identify a variable equation that describes the problem situation. Calculate the various parts of the equation for the situation. Select the correct answer for each part of the equation. A drone flew 780.9 feet and landed in a field. The drone was then flown to the garage at a constant rate of 85.4 feet per minute. How many minutes (m) did it take for the drone to fly from the field to the garage, if the total distance the drone traveled was 4,367.7 feet? The final equation: O 85.4m + 780.9 = 4, 367.7 O 780.9 m = 4, 367.7 85.4 O 780.9m + 85.4 = 4, 367.7 0 - + 85.4m + 780.9 = - 4, 367.7 I

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

b. is true. hope this . happy

oof. u are asking for t much