Answer:
a = 18
Step-by-step explanation:
2(a-7)=a+4
Distribute 2 into left side: 2a -14 = a + 4
subtract a from both sides 2a-a-14 = a+4-a
Simplify: a - 14 = 4
Add 14 to both sides: a - 14 + 14 = 4 +14
Simplify: a = 18
If wanted, plug a into original to double check work:
plug in: 2 (18-7) = 18+4
do parenthesis first: 2 (11) = 18+4
do multiplication : 22 = 18+4
additions: 22 =22
a = 18 is correct.
Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
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.
Tap for more steps...
(
x
4
+
16
)
(
x
2
+
4
)
(
x
+
2
)
(
x
−
2
)
Step-by-step explanation:
Well on this problem recall area of a rectangle is defined by:
A = lw our w = 1/6 and our l = (x +
) we have let 'x' represent our original length.
12x + 8 = 11
12x = 11 - 8
12x = 3
x =
So our original length is
