What is the value of x? A=2 B=4 C=5.5 D.7
1 answer:
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Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set =
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and respectively.
The complete question in the attached figure
we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[<span>original painting]
</span><span>dimensions </span>copy of a painting--------------> 1.75 in x 5.25 in
for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm
for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm
the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm
Part B)
<span>Find the area of the original painting.
[</span>area of the original painting]=42*126=5292 cm²
<span>
the answer Part B) is
</span>area of the original painting is 5292 cm²
<span>
Part C)
</span><span>One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
</span>
the dimensions of the original painting are 42 cm x 126 cm
then
for 42 cm
if 1 cm----------------> 0.033 ft
42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft
for 126 cm
if 1 cm----------------> 0.033 ft
126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft
the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
Part D) <span>Find the area of the painting in square feet. Round to the nearest thousands.
</span>
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²
the answer part C) is
the area original painting in feet is 5.763 ft²
we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[<span>original painting]
</span><span>dimensions </span>copy of a painting--------------> 1.75 in x 5.25 in
for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm
for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm
the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm
Part B)
<span>Find the area of the original painting.
[</span>area of the original painting]=42*126=5292 cm²
<span>
the answer Part B) is
</span>area of the original painting is 5292 cm²
<span>
Part C)
</span><span>One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
</span>
the dimensions of the original painting are 42 cm x 126 cm
then
for 42 cm
if 1 cm----------------> 0.033 ft
42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft
for 126 cm
if 1 cm----------------> 0.033 ft
126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft
the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
Part D) <span>Find the area of the painting in square feet. Round to the nearest thousands.
</span>
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²
the answer part C) is
the area original painting in feet is 5.763 ft²