In ΔABC, the measure of ∠C=90°, the measure of ∠A=49°, and BC = 5.1 feet. Find the length of AB to the nearest tenth of a foot.

Given:

In ΔABC, the measure of ∠C=90°, the measure of ∠A=49°, and BC = 5.1 feet.

We need to determine the length of AB

Length of AB:

The image of the triangle ABC is attached below.

Using the figure, we shall determine the length of AB by the trigonometric ratio.

Thus, we have;

where , and

Thus, we have;

Substituting BC = 5.1, we get;

Simplifying, we have;

Dividing, we get;

Rounding off to the nearest tenth, we get;

Thus, the length of AB is 7.8 feet.

c

step-by-step explanation:

c

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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