The graph is shown below
<h3>What is graph?</h3>
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
As, the equation x² + y² < 25 represents equation of circle.
So, the graph will be of the form circle.
and, y² <6x is the equation to represent parabola
So, the graph will represent a parabola.
Learn more about graph here:
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Answer:
90π in^3.
Step-by-step explanation:
Total Volume = volume of cylinder + volume of the hemisphere.
= πr^2h + 1/2*4/3πr^3
= π * 3^2 * 8 + 2/3 π 3^3 ( Note the radius r = 1/2 diameter = 1/2*6 = 3)
= 72π + 18π
= 90π in^3.
Answer:
The quotient is 2.352
Step-by-step explanation:
The term quotient is simply the result of division
Thus; if we divide 54.096 by 23, we get 2.352
Answer:
174 rpm
Step-by-step explanation:
The question says that the speed is inversely proportional to the length. Thus, Inverse means, as the diameter increases, the speed reduces, or as the diameter reduces, the speed increases.
Thus, from the question, if diameter A is 20, and B is 10, then definitely, the speed will increase from 348 to a higher rate. Mathematically, we have
20 / 10 = 348 / x, where x is the missing speed.
2 = 348 / x
x = 348 / 2
x = 174 rpm
Therefore, the pulley A must have been running at a speed of 174 rpm
