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3 years ago

Given that B is between A and C, find the indicated length.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Answer:25.3

Step-by-step explanation:

Since B is between A and C, you can use parts-whole postulate to infer that AB+BC=AC.

And since AB and BC are given, substitute in their values, and solve.

21+4.3=25.3=AC

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Sonja [21]

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Answer:

L = 882/121 feet

Step-by-step explanation:

Set the appropriate variables in the equation to the given values and solve for the unknown.

$T=2\pi\sqrt{\dfrac{L}{32}}\\\\3=2\left(\dfrac{22}{7}\right)\sqrt{\dfrac{L}{32}} \qquad\text{fill in given values}\\\\ \dfrac{3\cdot7}{44}=\sqrt{\dfrac{L}{32}} \qquad\text{multiply by $\dfrac{7}{44}$}\\\\ \left(\dfrac{21}{44}\right)^2=\dfrac{L}{32}\qquad\text{square both sides}\\\\ \dfrac{32\cdot441}{1936}=L \qquad\text{multiply by 32}\\\\ \boxed{L=\dfrac{882}{121}}\qquad\text{reduce the fraction}$

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<em>Additional comment</em>

That's about 7.3 feet. (You can compare this to what you know about the time it takes for a cycle when swinging on a swing set.)

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3 years ago

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postnew [5]

Answer:

Area = 168m^2

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