Answer:
(-5, - 4) ;
(4, - 5) ;
(5, 4)
(-4, 5)
Explanation:
Given : (x, y)
90° counterclockwise rotation = (-y, x)
180° clockwise rotation = (-x, - y)
270° counterclockwise rotation = (y, - x)
270° clockwise rotation = (-y, x)
Using the translations started above :
Point(5, 4) rotated 180° clockwise - - - > (-5, - 4)
Point(-5, -4) rotated 90° counterclockwise - - - - - - - > (-(-4), - 5) - - - > (4, - 5)
Point(-4, 5) rotated 270° counterclockwise - - - > (5, - (-4)) - - - > (5, 4)
Point (5, 4,) rotated 270° clockwise - - - > (-4, 5)
Answer:
--- Radius
--- Height
Explanation:
Given
Object: Can (Cylinder)
Required
Maximize the volume
The surface area is:
Substitute 517.8 for S.A
Divide through by 2
Factorize:
Divide through by
Make h the subject
--- (1)
Volume (V) is calculated as:
Substitute (1) for h
Open Bracket
Differentiate V
Set V' to 0
Collect Like Terms
Divide through by 3
Divide through by
Take square root of both sides
Recall that:
Substitute 5.24 for r
Hence, the dimension that maximize the volume is:
--- Radius
--- Height
This is expressed as Moisture Content or Water Content
Most food items have a water content. Even seemingly 'solidified' foods such as a piece of bread or bun have a certain water content in them.
For vegetables and fruits, the water content as a percentage of the weight can be huge.
For example, fruits such as Watermelons contain 92% in every bite with just 6% sugar and 2% fiber by weight.