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2 years ago

6

Is 0.25 the decimal of 4/16

2 answers:

Bumek [7]2 years ago

6 0

Yes 0.25 is the decimal of 4/16. Because 1/4 divided by 4/16 is 1/4. And 100/4 is 25. So 1/4 is 0.25 or 4/16.

frosja888 [35]2 years ago

4 0

Yes.
A fraction means that you divide the top number (numerator) by the bottom number (denominator). So, if you divide 4 by 16, then the answer is 0.25
Another way to get this answer is if you know your basic fraction-decimal conversions. If you reduce the fraction by dividing both the numerator and the denominator by the same number (in this case, 4 works), then you get the fraction 1/4, which is also equal to 0.25
Good luck with your math, and I hope this helps :)

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mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

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y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

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Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

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