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lisov135 [29]
3 years ago
7

Click the parts of the grid to shade 20% of the whole grid.

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:u fill in 4 tiles

It’s a 4x5 square so there is 20 tiles

And 20 divided by 4 equals 5

So if u fill in 4 tiles it’s like filling in 1/5 aka 20%

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Convert 0.00001 to a power of 10.
kolezko [41]

Answer:

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Move the decimal to the right 5 places. Moving to the right makes the power a negative, moving to the left would make it a positive.

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Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

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1 year ago
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valina [46]
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galina1969 [7]

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6 0
3 years ago
Read 2 more answers
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