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Answer:
16 degrees
Step-by-step explanation:
62= 46+x
16=x
Answer:
Marisol made $138.75 on the sale of the jacket
Step-by-step explanation:
First we are told that Fernando bought a jacket for $185, and sold it for 1 1/12 what he paid.
Therefore, 1 1/2 of 185;
= 1.5 × 185 = $277.5
Therefore, Fernando sold the Jacket for $277.5
Next, we are told that:
Marisol spent 1/5 as much as Fernando on the same jacket
This means that Marisol spent 1/5 of $185 on the jacket
= 1/5 × 185 = 0.2 × 185 = $37
Therefore, Marisol spent $37 to buy the same jacket
Next, Marisol sold the jacket for 1/2 as much as Fernando. Since Fernando sold the Jacket for $277.5, Marisol sold the jacket for 1/2 of 277.5, and this is calculated as:
1/2 of 277.5 = 0.5 × 277.5 = 138.75
Therefore, Marisol made $138.75 on the sale of the jacket.
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:
Area of shaded region is 141.3 square inches
Step-by-step explanation:
It is given that,
A circle has an 18-inch radius and a shaded sector with a central angle of 50°
Area of circle = πr²
<u>To find the area of circle</u>
Area of circle = πr² = 3.14*18² = 3.14 * 18 * 18
Area = 1017.36 square inches
<u>To find the part of shaded region</u>
central angle of shaded region is 50°.
part of sector = 50/360 = 5/36
<u>To find the area of shaded region</u>
area of shaded region is 5/36th of total area of circle
Area of shaded region = 5/36(1017.36) = 141.3 square inches