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:
a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3
b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3
In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.
Step-by-step explanation:
Answer:
34 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between adjacent and opposite sides of a right triangle and the trig function of the associated angle. Here, the relevant relation is ...
Tan = Opposite/Adjacent
tan(10°) = (height of lifeguard)/(distance from shore)
Then the distance from shore is ...
distance from shore = (height of lifeguard)/tan(10°) ≈ (6 ft)/(0.17633)
distance from shore ≈ 34 ft
Answer:
<u><em>C</em></u>
Step-by-step explanation:
<u><em>11 - 5 = 6</em></u>
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Answer:
The dimensions are
ft by
ft
The quadratic equation is 
Step-by-step explanation:
we know that
the area of rectangle is equal to
where
L is the length side of rectangle
W is the width side of rectangle
in this problem
we have

so
-----> equation A
------> equation B
substitute equation B in equation A


Find the value of L
