Answer:
The subtraction method is used to find the volume of the cylinder by recalling that the volume of the cylinder consist of the volume of the cone and the volume of the sphere.
Step-by-step explanation:
In the subtraction method, we have that a cylinder of radius r, equal to that of a circle, and height 2·r consist of a cone of base radius r and height 2·r and a sphere of radius r as follows;
Volume or sphere of radius r = Volume of cylinder of radius r and height 2·r - Volume of cone of base radius r and height 2·r
∴ 4/3·π·r³ = Volume of cylinder of radius r and height 2·r - 2/3·π·r³
Hence, volume of cylinder of radius r and height 2·r = 4/3·π·r³ + 2/3·π·r³ = 2·π·r³
Hence the subtraction method is used to find the volume of the cylinder by recalling that the volume of the cylinder consist of the volume of the cone and the volume of the sphere.
Answer:
Step-by-step explanation:
The greatest common factor of 36 and 63 is 9.
Thus, 
= since (36 ÷ 9 = 4) and (63 ÷ 9 = 7).
The values of x for which the rational expression is undefined are -6 and -8.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:
As we know in the rational function denominator cannot be zero:
The values of x for which the rational expression is undefined.
x² + 14x + 48 = 0
x = -6, -8
Thus, the values of x for which the rational expression is undefined are -6 and -8.
Learn more about the function here:
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9514 1404 393
Answer:
1000
Step-by-step explanation:
If the number of protesters per minute remains a constant, then you could write the proportion ...
p/12 = 177/2.1
Multiplying by 12 gives ...
p = 12(177/2.1) ≈ 1011.4
Here, minutes are given to 2 significant figures, and the initial count is given to 3 significant figures. The best you can hope for is that your estimate is good to 3 significant figures:
1010 protesters
It is probably sufficient to report the number to 2 significant figures*:
1000 protesters
_____
* Unfortunately, with a number like 1000, the only way you can tell it has 2 significant figures is to report it as 1.0×10³ or 10. hundreds. The trailing zeros are usually not considered significant.
