A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4
1 answer:
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Answer:
Step-by-step explanation:
1) if the lines are perpendicular, then the second slop is 0.25;
2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;
3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:
-4=-12*0.25+i; ⇔ i=-1.
4) finally, the required equation is:
Answer:
Volume:
Ratio:
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:
where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:
Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is
For a hemisphere, the area of the curved part of the surface is therefore half of this value, so . Moreover, we have to add the surface of the base, which is
. So the total surface area of the hemispherical tank is
Therefore, the ratio betwen the volume and the surface area of the hemisphere is