4 years ago

What is 6.6 repeating as a fraction

Mathematics

1 answer:

Nana76 [90]4 years ago

4 0

6 7/10 maybe i dont know...................

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A rectangle has one side of 8 cm. How fast is the diagonal of the rectangle changing at the instant when the other side is 6 cm

lisov135 [29]

<h2>The diagonal is increasing at 1.8 cm/minute.</h2>

Step-by-step explanation:

Let l be one side,w be other side and s be diagonal.

We have

s² = l² + w²

We have

l = 8 cm

w = 6 cm

s² = l² + w²

s² = 8² + 6²

s² = 100

s = 10 cm

Taking derivative with respect to time in s² = l² + w²

$s^2=l^2+w^2\\\\2s\frac{ds}{dt}=2l\frac{dl}{dt}+2w\frac{dw}{dt}\\\\s\frac{ds}{dt}=l\frac{dl}{dt}+w\frac{dw}{dt}\\\\\frac{dw}{dt}=3cm/min\\\\\frac{dl}{dt}=0cm/min\\\\10\frac{ds}{dt}=8\times 0+6\times 3\\\\\frac{ds}{dt}=1.8cm/min$

The diagonal is increasing at 1.8 cm/minute.

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Step-by-step explanation:

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i believe 68 is the answer.

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