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aleksley [76]
3 years ago
8

If x = 10, y = 5, and z = 11, what is the sine ratio for g°?

Mathematics
1 answer:
salantis [7]3 years ago
8 0

Answer:

\frac{10}{11}

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

sin(g^o)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(g^o)=\frac{x}{z}

sin(g^o)=\frac{10}{11}

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Answer:

Option D)Neither solution is extraneous.

Step-by-step explanation:

we have

\sqrt{11-2x}=\sqrt{x^{2}+4x+4}

we know that

two possible solutions are x=-7 and x=1

<u><em>Verify each solution</em></u>

Substitute each value of x in the expression above and interpret the results

1) For x=-7

\sqrt{11-2(-7)}=\sqrt{-7^{2}+4(-7)+4}

\sqrt{25}=\sqrt{25}

5=5 ----> is true

therefore

x=-7 is not a an extraneous solution

2) For x=1

\sqrt{11-2(1)}=\sqrt{1^{2}+4(1)+4}

\sqrt{9}=\sqrt{9}

3=3 ----> is true

therefore

x=1 is not a an extraneous solution

therefore

Neither solution is extraneous

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

\huge\boxed{p^3+p^2=p^2(p+1)}

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a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac

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