stinematesa
06.01.2021 •
Mathematics
For each lawn mowing job, Marcus charges a fee for his equipment plus an hourly rate. The graph shows how he calculates his fee for providing mowing services. Which linear function, in the form of = + , best represent this situation?
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Ответ:
it turned 115.8°
Step-by-step explanation:
The triangle formed is shown in the attached photo. The angle turned by the ship in the north west direction is ange A. To determine angle A, we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
165² = 111² + 83² - 2(111 × 83)CosA
27225 = 12321 + 6889 - 2(9213)CosA
27225 = 19210 - 18426CosA
18426CosA = 19210 - 27225
18426CosA = - 8015
CosA = - 8015/18426
CosA = - 0.435
A = Cos^- 1(- 0.435)
A = 115.8° to the nearest tenth