Answer:
x
8
−
256
Rewrite
x
8
as
(
x
4
)
2
.
(
x
4
)
2
−
256
Rewrite
256
as
16
2
.
(
x
4
)
2
−
16
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
4
and
b
=
16
.
(
x
4
+
16
)
(
x
4
−
16
)
Simplify.
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(
x
4
+
16
)
(
x
2
+
4
)
(
x
+
2
)
(
x
−
2
)
Step-by-step explanation:
Answer:
11 yards
Step-by-step explanation:
The volume of a cone formula is:

Where V is the volume,
r is the radius (half of diameter)
h is the height
Given,
h = 15
V = 475.17
We find the radius (r) first by substituting given values:

The radius (r) is 5.5 yards
We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:
Diameter = 5.5 * 2 = 11 yards
Answer:
3/2 mph
Step-by-step explanation:
= 
cross-multiply: 8r = 12
r = 12/8 or 1.5 mph
Answer:
A = 140 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A =
bh ( b is the base and h the perpendicular height )
here b = 20 and h = 14 , then
A =
× 20 × 14 = 10 × 14 = 140 in²
For this question the answer is x= 5, -1