Madeleine says she can use a clock to show that 5/60 and 1/12 are equivalent fractions. Do you think she is correct? Explain.
2 answers:
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Answer:
8.95
Step-by-step explanation:
here we are going to use pythagoras theorem
a² +b² =c²
the vertical can be taken as a and horizontal as b
4² +8²=c²
this is the same as
c²= 4²+ 8²
c²= 16+ 64
c²=80
to get rid of the square we shall put both sides under a root
c = 8.95
Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
Therefore, the volume of the figure is sq. units.