Answer:
5..(b)
Step-by-step explanation:
Pythagoras theorem states that
Hypotenuse(squared)=opposite(squared)+ adjacent(squared)
hypotenuse=?,opposite=3,adjacent=4
hyp(squared)=3(squared)+4(squared)
hyp(squared)=9+16
hyp(squared)=25
find the square root of both sides
hypotenuse=5
There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:
R(90 deg) : (X,Y) ---> (-Y,X)
Using the given coordinates:
R(90 deg<span>) : (-4,1) ---> (-1,-4)
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Therefore, Point C' will be located at (-1,-4)
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
1.) about 154 months
2.) about 30 months
3.) about 75 months
4.) about 100 months
