Answer:
The GCF for the variable part is
k
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k
Answer:
40%
Step-by-step explanation:
2:5 is equal to 4:10 or 40%.
Volume=legnth times width times height
convert all to iimporper fractions first for ease
1 and 1/3=1+1/3=3/3+1/3=4/3
1 and 5/8=1+5/8=8/8+5/8=13/8
4 and 1/2=4+1/2=8/2+1/2=9/2
multiply them
volume=(4/3) times (13/8) times (9/2)
volume=(4 times 13 times 9)/(3 times 8 times 2)
volume=468/48
volume=39/4
volume=9 and 3/4 cubic feet
9514 1404 393
Answer:
135°
Step-by-step explanation:
In order to answer the question, we must assume that the black lines are parallel to each other.
The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.
∠2 +∠8 = 180°
15x +5x = 180°
x = 180°/20 = 9°
∠2 = 15x = 15(9°) = 135°
Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.
∠3 = 135°
