Use Pythagoras to find opposite side (length of wall
then divide this number by 10
Here, we are required to compare the density of different liquids with the same volume
Since density is the ratio of mass to volume, different liquids for example, kerosene and water if they have the same volume, will have different masses.
This is due to the difference in their densities.
Therefore, according to the statement in the question above;
While comparing the density of Liquids with the same volume, the liquid with the greatest density is heavier(more quantity of matter per unit volume) while the liquid with the least density is lighter( less quantity of matter per unit volume).
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Log (xy)
log (12*20)
log (240)
2.38
Answer:
The area of the rectangle is increasing at a rate of
.
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by 
Derivative w.r.t 't',

Now, we have given




Substitute all the values,



Therefore, the area of the rectangle is increasing at a rate of
.
Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:
8x-20y = -24
8x +3y = 68
------------
0 -23y = -92
Now divide both sides by -23:
y = 4
Find x by plugging y=4 into either equation:
8x +3(4) = 68
8x = 68 - 12
8x = 56
x = 7
So the answer is ordered pair is (7,4)