Answer:
Length = 6
Width = 3/2
Step-by-step explanation:
You can choose to go about this question in lots of different ways, but this is how i did it. I drew a diagram of the rectangle and labeled it: the height/length as x and the width as x/4 (they told us the width is a quarter of the length). They also told us that the area is 9 square units.
We know that length x width = area
So: length x width = 9
I'm gonna bring in the variables i used in the diagram, so:
x 
= 9
Keep solving:
= 9
Times both sides by 4:
= 36
Square root both sides for x:
<em>* remember that when you square root, its possible to have a positive or negative version of the value</em>
x = ±6
Since its impossible to have a negative length, we can say that x = 6.
X was just the variable we gave to the length of the rectangle, so now we know the length is 6. If you needed to find width as well, you can do 6/4, which simplifies to 3/2.
To double-check
- 6 x 3/2 should equal 9, since length x width = area
which it is, so we're correct!
Hope that helped : )
Answer:
Everything but B
Step-by-step explanation:
When solving you can not have the degrees on the top
Answer: (0,0),(0,9),(9,0)
Multiply each column by 3 to find 3T of Matrix.
Answer:
The maximum volume is: 11.52 *10.52*2.74 = 332.06 
Step-by-step explanation:
Let x is the side of the square in inches.(x >0)
The volume of the resulting box when the flaps are folded up can be expressed as:
V = x (17 -2x)(16-2x)
= (17x -2)(16-2x)
= 
- 66 + 272x
To find the value of x which yields the maximum of volume (V), take the first derivative of this equation and set it equal to zero.
= 12 - 66x + 272
Solve 12 - 132x + 272 = 0
<=> x = 2.74
The dimensions of the box are:
Length: (17 -2x) = (17 -2*2.74) = 11.52
Width: (16-2x) = (16-2*2.74) = 10.52
High: x = 2.74
So the maximum volume is: 11.52 *10.52*2.74 = 332.06
Answer:
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Step-by-step explanation:
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