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2 years ago

What is the simplified form of the expression square root 1 over 121???

Mathematics

2 answers:

shepuryov [24]2 years ago

5 0

√(1/121) = √1 / √121 = 1 / 11 = <em>11⁻¹</em>

earnstyle [38]2 years ago

5 0

$\frac{1}{ 11^{2} } = 11^{-2} = \frac{1}{121}$

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sukhopar [10]

Answer:

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Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

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Then, the time (speed divided by distance) is:

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To optimize this function we have to derive and equal to zero:

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$x$

As $d_b=x$ , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

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3 years ago

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Bumek [7]

Answer:

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Step-by-step explanation:

The scale factor is 1/2 because each side length of $\triangle{A'B'C'}$ is 1/2 of the length of the side lengths of $\triangle{ABC}$ .

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2 years ago

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denis23 [38]

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2 years ago

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d1i1m1o1n [39]

Answer:

Step-by-step explanation:

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