Answer:
5. D
6. 15 feet
Step-by-step explanation:
5.
The amount of fringe cloth will go around the circular cloth.
We need to find the perimeter of a circle.
Perimeter (aka Circumference) of circle = 2πr
Where r is the radius (half of diameter)
Diameter is given as [tex]3\frac{3}{4}[/tex]
We convert this to improper fraction and divide by 2 to find the radius:
[tex]r=\frac{3\frac{3}{4}}{2}=\frac{\frac{15}{4}}{2}=\frac{15}{4}*\frac{1}{2}=\frac{15}{8}[/tex]
Now, the circumference (c):
[tex]c=2\pi r=2\pi (\frac{15}{8})=11.78[/tex]
This, rounded to nearest whole number is 12 ft
Answer choice D is right.
6.
The amount of fringe around the square is the sum of all 4 sides with each of them measuring [tex]3\frac{3}{4}[/tex] feet.
We convert to improper fraction and add them up (4 times):
[tex]3\frac{3}{4}=\frac{15}{4}[/tex]
Now,
[tex]\frac{15}{4}+\frac{15}{4}+\frac{15}{4}+\frac{15}{4}=\frac{60}{4}=15[/tex]
The amount of cloth needed on square is 15 feet
There is no correct answer choice.
