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erik [133]
2 years ago
13

A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other co

rner diagonally across. What is that distance? Show your work.
Mathematics
1 answer:
katrin [286]2 years ago
3 0

Answer:

The answer is 164 meters

Step-by-step explanation:

Distance = Sq of 100 + Sq of 130 = 26,900 = Sq root of 26,900 = 164 meters

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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
2 years ago
What is the value of 'x'?
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Answer:

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Step-by-step explanation:

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After you prove that two triangles are congruent, what would CPCTC be useful for?
Lapatulllka [165]
Is useful<span> in </span>proving<span>various theorems about </span>triangles<span> and other polygons.

</span>
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Lake Superior, along the us Canada border, has a maximum depth of 1333 feet. There are 5280 feet in one mile. How deep is lake S
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Answer:

=  0.2525  miles

Step-by-step explanation:

7 0
2 years ago
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