Math, asked by Anonymous, 1 year ago

Hello Math experts!

Answer the question given in the attachment.


please give answer with detail explanation!!!

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Answers

Answered by Anonymous
72

Question:

For a project in Home Economics class, Kirk is  making a tablecloth for a circular table 3 feet in  diameter. The finished tablecloth needs to hang down  5 inches over the edge of the table all the way around. To finish the edge of the tablecloth, Kirk will fold  under and sew down 1 inch of the material all around  the edge. Kirk is going to use a single piece of rectangular  fabric that is 60 inches wide. What is the shortest  length of fabric, in inches, Kirk could use to make the  tablecloth without putting any separate pieces of fabric  together?  

F. 15  

G. 24  

H. 30  

J. 42  

K. 48

Answer:

OPTION K

Step-by-step explanation:

The diameter of the table cloth is 3 feet .

1 feet = 12 inches .

So 3 feet = 12 × 3 inches

⇒ 3 feet = 36 inches .

Hence the diameter is 36 inches .

The cloth must hang 5 inches over the edge .

Since there are 2 sides about the diameter where the cloth can hang :

Hence the total inches that will hang down is 5 + 5 = 10 inches .

Additional 1 inch on both sides has to be added .

So we have 1 + 1 inch = 2 inch additional .

Total diameter = ( 36 + 10 + 2 )

⇒ 46 + 2

⇒ 48 inches .

Since the diameter of the fabric can be used to make the circle without putting additional fabric , the answer of the question will be the diameter of the extended table cloth that will be formed .

Hence the answer is 48 inches which is the shortest length .

Answered by generalRd
21

ANSWE IS (K)

REASON

The table diameter is 3 feet.

The additional amount of material on the edge needs to be added to the table diameter for the total diameter.

Six inches is added to the radius - 5 for the extra hanging over and 1 for the hem.

So your total diameter is 1 foot plus 3 feet = 4 feet.

The information about 60 inches is irrelevant, because your diameter is 48 inches and that's the only width/length of fabric you'll need to worry about.

So with a 48 inch diameter, you only need 48 inches of fabric, therefore your answer is K.

Thanks

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