Can someone please explain this trigonometry question? uses sin/cos/tan

The answer to your question is below

Step-by-step explanation:

Data

Right triangle

hypotenuse = 24

Opposite side = 15

Adjacent side = ?

Process

1.- Calculate the adjacent side using the Pythagorean theorem.

          hypotenuse² = opposite side² + adjacent side²

-Solve for adjacent side

          Adjacent side² = hypotenuse² - opposite side²

-Substitution

           Adjacent side² = 24² - 15²

-Simplification

           Adjacent side² = 576 - 225

           Adjacent side = 351

-Result

           Adjacent side = 18.73°

2.- Find the value of x°

a) Using sin x

              sinx = Opposite side/Hypotenuse = 15/24 = 0.625

                  x = 38.68°

b) Using cos x

              cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78

              cos x = 38.68°

c) Using tan x

              tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80

             tan x = 38.68°  

answer: two five pound bags one two pound

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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