Answer:
А.(x-6)(x2 + 6x + 36)
Step-by-step explanation:
Remember this formula for factorizing difference of 2 cubes:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
In
x
3
−
216
,
a
3
=
x
3
b
3
=
216
a
=
3
√
x
3
=
x
b
=
3
√
216
=
6
Substitute
a
=
x
,
b
=
6
into the formula of
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
x
−
6
)
(
x
2
+ (
6
x
x
) +
6
2
)
=
(
x
−
6
)
(
x
2
+
6
x
+
36
)
(
x
−
6
)
(
x
2
+
6
x
+
36
)
is the factorized form of
x
3
−
216
Answer: 6/5
Explanation:
Given: 5cm cube
This means each side is 5 cm because a cube has equal sides.
Area of a square is length times width so area of 1 side of a cube:
= 5 x 5
= 25
Surface area is the area of one side of a cube times the number of sides. Now, how many sides does a cube have? 6
= 25 x 6
= 150
Surface area of a 5cm cube = 150
Volume is length times width times height:
= 5 x 5 x 5
= 125
Ratio of surface area to volume:
= 150/125
= 6/5
By definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
n+29 is that what you mean
6 x 4 is the same as 6 divided by 1/4
the answer is :
1.5
