Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height
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This is not reasonable because
Answer:
See Below.
Step-by-step explanation:
Please refer to the diagram below.
We are given that O is the center of the circle, and chords MN and RS are intersected a P. OP is the bisector of ∠MPR. And we want to prove that MN = RS.
We will construct segments OK and OJ such that it perpendicularly bisects MN and RS.
Since OP bisects ∠MPR, it follows that:
And since OK and OJ are perpendicular bisectors:
Therefore:
By the Reflexive Property:
Therefore:
By AAS Congruence.
Hence:
By CPCTC.
Recall that congruent chords are equidistant from the center.
Thus, by converse, chords that are equidistant from the center are congruent.
Therefore:
The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.
Step-by-step explanation:
The given is,
Composite figure is combination of a half sphere and cone
Both have a radius of 4 centimeters
The cone has a height of 15 centimeters
Step:1
Volume of composite figure = Volume of half sphere + Volume of cone
Step:2
Formula for volume of semi sphere,
Where, r - Radius of Half sphere,
From given, r = 4 centimeters
(∵
= 3.14 )
= 133.9733 cubic centimeters
Formula for volume of cone,
where, r - Radius of cone
h - Height of cone
From given,
r = 4 centimeters
h = 15 centimeters
Volume of cone,
(∵
= 3.14 )
cubic centimeters
Step:3
Volume of composite figure = 133.9733 + 251.1997
Volume of composite figure = 385.17 cubic centimeters
Result:
The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.