Answer:
Container will have less label area than container by about .
Step-by-step explanation:
A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.
Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of and a radius of at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width and length .
Apply this reasoning to both cylinder and :
For cylinder , while . Therefore, when the lateral side of this cylinder is unrolled:
- The width of the rectangle will be , while
- The length of the rectangle will be .
That corresponds to a lateral surface area of .
For cylinder , while . Similarly, when the lateral side of this cylinder is unrolled:
- The width of the rectangle will be , while
- The length of the rectangle will be .
That corresponds to a lateral surface area of .
Therefore, the lateral surface area of cylinder is smaller than that of cylinder by .
Answer:
y=kx
subst y=10 and x=20 into the above
<em>1</em><em>0</em><em>=</em><em>k20</em>
<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>
<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>
<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>
<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>
<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>
<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>
Step by step explanation:
- Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
- step 2: so y=kx where <em>k is the constant</em>
- step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
- step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
- step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
- step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
Answer:
The correct answer is X - 40% of X = 0.6 X, where X is the amount of plastic the company used initially.
Step-by-step explanation:
A company uses X amount of plastic to make bags.
But now the company decreases this amount by 40%.
Decrease in amount of plastic used is 40 % of X = 0.4X.
Therefore the expression that represents the amount of plastic used after this decrease is X - 40 % of X = X - 0.4X = 0.6X.
Thus after the decrease the company now uses 0.6X amount of plastic which is 40% less than the initial.