In a volcano, erupting lava flows continuously through a tube system about 20 kilometers to the sea. assume a lava flow of 0.5 kilometer per hour and calculate how long its takes to reach the sea.

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

x=40

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

Hope this helps!

£56

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).