Answer:
Everybody's laughing in my mind
Rumors spreading 'bout this other guy
Do you do what you did when you did with me
Does he love you the way I can
Did you forget all the plans that you made with me?
'Cause baby I didn't
That should be me, holding your hand
That should be me, making you laugh
That should be me, this is so sad
That should be me
That should be me
That should be me, feeling your kiss
That should be me, buying you gifts
This is so wrong
I can't go on
Till you believe
That should be me
That should be me
(x + 9 )/2 = 3x
x + 9 = 6x
5x = 9
x = 9/5
Answer: 10
Have a great day
Volume of Rectangle = (Area of Base)(Height)
Volume of Square Pyramid = (1/3) (Area of Base)(Height)
The prism is 3 times larger than the pyramid
Answer: C
Answer:
- front/back: 106 2/3 ft
- sides: 135 ft
Step-by-step explanation:
These problems are easily solved if you start with the knowledge that the solution makes the front/back cost equal to the side cost.
Suppose we define the length of the front as x. Then the total cost of the front and back is (2x)(81) = 162x.
If y is the length of the side of the building, then (2y)(64) = 128y is the total cost of the sides of the building. When these costs are equal, we have ...
162x = 128y
y = (162/128)x
The floor area is ...
xy = 14400 = x(162/128)x
x = √(14400·128/162) = √(11377 7/9) = 106 2/3
y = (162/128)x = 135
The front/back of the building measure 106 ft 8 inches; the sides measure 135 feet.
_____
<em>Solution using derivatives</em>
Using the above variable definitions, we can find the side length as ...
y = 14400/x
so the total cost is then ...
c = 162x + 128(14400/x)
We want the derivative with respect to x to be zero:
dc/dx = 0 = 162 -128·14400/x^2
Solving for x gives ...
x = √(14400·128/162) = 106 2/3 . . . . . compare to the solution above
y = 14400/(106 2/3) = 135