Answer:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
Step-by-step explanation:
We are told that:
A cube has volume 64 centimeters cubed.
The formula for the volume of a cube = s³
Where s = side length
Hence
64 cm³ = s³
We can find s by finding the cube root of both sides
Hence,
cube root(64) = cube root(s³)
s = 4 cm
Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³
Therefore, it can be concluded of the cube that:
This is a perfect cube.
The side length is 4.
Taking the cube root of the volume will determine the side length.
Answer:
4-6 is 2 and 3-7 is 4
Step-by-step explanation:
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11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
Answer:
11.57
Step-by-step explanation:
We have a simple formula to solve this:

where
SS is sum of squares
s^2 is the variance, and
n is the number of data points
We are given all the info to find out s^2. Hence,

Answer:
B. 10 acres
Step-by-step explanation: