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Genrish500 [490]
3 years ago
7

A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base o

f the fence post. What is the length of the chain?
Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer:

15 feet

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

a and b represents the legs of the triangle

c represents the hypotenuse (which is the chain)

Natasha2012 [34]3 years ago
7 0

Answer: 15ft chain length

Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom

12^2+9^2=c^2

225=c^2

15=c

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1 2/3 = 1 8/12

Step-by-step explanation:

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About 9.2 units

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c

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3600

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Rationalize the denominator and simplify 6/√2-√3
ss7ja [257]
Answer:

<span>=3<span>√6</span>−3<span>√5</span></span>

Explanation:

<span>3<span><span>√5</span>+<span>√6</span></span></span>

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>

<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>

<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>

5 0
3 years ago
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