ANSWER
See attachment.
EXPLANATION
The given function is
The parent function is
When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.
The graph of this function is shown in the attachment.
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)
2 answers:
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.
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Answer:
Step-by-step explanation:
The equation of the line in point-slope form is given as
Here m=-3 and (x1, y1)=(5, 9)
Therefore,
Okay, take a look at diagram 1 (I know it's rubbish I did it on paint :D), this shows all the information you've given in the question. The two coordinates and the distance between them.
Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.
Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning
therefore x=5.
Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.
Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning
therefore x=5.