Mathematics
16.07.2022 09:12
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Which of the following is a zero of the function g(x)= x(x+5)(x−9)?

Which of the following is a zero of the function g(x)= x(x+5)(x−9)?
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anikabarnhart
anikabarnhart
4,4(95 marks)

7. A ≈ 60.1°

8. B ≈ 34.0°

9. C ≈ 33.1°

Step-by-step explanation:

7.

The Law of Sines states that for a triangle with lengths a, b, and c and angles A, B, and C: \frac{a}{sinA}= \frac{b}{sinB} =\frac{c}{sinC}.

Here, we can say that a = 7, b = 8, and B = 82, and we want to find A. Plug these values in:

\frac{a}{sinA} =\frac{b}{sinB}

\frac{7}{sinA} =\frac{8}{sin(82)}

Solve for A:

A ≈ 60.1°

8.

Again, use the Law of Sines as above:

\frac{b}{sinB} =\frac{c}{sinC}

\frac{14}{sin(37)} =\frac{13}{sinB}

Solve for B:

B ≈ 34.0°

9.

Use the Law of Sines as above:

\frac{a}{sinA} =\frac{c}{sinC}

\frac{17}{sin(68)} =\frac{10}{sinC}

Solve for C:

C ≈ 33.1°

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