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uranmaximum [27]
3 years ago
6

A ship is 40 miles east and 25 miles south of port. The captain wants to sail directly to port. What bearing should be taken?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0

Answer:

N58°W

Step-by-step explanation:

The trigonometry diagram has been attached below :

To obtain the angle θ ;

Tan θ = opposite / Adjacent

Tan θ = 40 / 25

Tan θ = 1.6

θ = tan^-1(1.6)

θ = 57.99°

Henve, bearing directly to Port is :

N58°W

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Step-by-step explanation:

Given

f(x) = 5x^2+6\\g(x) = 7x

So

(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917

Hence,

(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Keywords: functions, Function composition

Learn more about functions at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

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