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Ratling [72]
3 years ago
8

In a volcano, erupting lava flows continuously through a tube system about 20 kilometers to the sea. Assume a lava flow of 0.5 k

ilometer per hour and calculate how long its takes to reach the sea.
Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

40 hours

Step-by-step explanation:

Lets take "x" as the # of hours it takes the lava to reach the sea

since there is a lava flow of 0.5 kilos per hour

we will multiply "x" with 0.5

0.5x

now the tube system is 20 kilometers long

this means that at a rate of 0.5 kilos per hour the lava will reach the sea once it is 20 kilometers deep

so

0.5x=20

divide "0.5" by both sides to eliminate the coefficient

\frac{0.5x}{0.5} =\frac{20}{0.5}

x=40

it will take 40 hours for the lava to reach the sea

Hope this helps!

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Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

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Using this midpoint find the missing coordinate.

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

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$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinates and y-coordinates.

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