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aev [14]
4 years ago
10

Bree made three identical birthday hats out of construction paper. Each was in the shape of a cone. The diameter of each hat was

6.6 inches and the slant height was 8.4 inches. How many square inches of construction paper did Bree need to make the three hats? Use 3.14 for Pi and round your answer to the nearest hundredth. (Recall the formula L A = pi r l) 87.04 in2 174.08 in2 261.12 in2 522.24 in2
Mathematics
1 answer:
Luda [366]4 years ago
7 0

Answer:

(C)261.12 Square Inches

Step-by-step explanation:

The diameter of the Cone Hat = 6.6 inches

Radius = Diameter/2=6.6/2=3.3 Inches

The slant height = 8.4 inches.

To determine how many square inches of construction paper did Bree need to make the three hats, we find the Curved Surface Area of the Cones.

Curved Surface Area of a Cone =\pi r l

Therefore, the area of paper used for the 3 hats

=3 X Area of One Hat

=3 \times \pi r l\\=3 \times 3.14\times 3.3 \times 8.4\\=261.12$ Square Inches

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Read 2 more answers
Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (
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Answer:

She has  18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

                                      ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 

Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from

She has 3*3*2= 18 combinations to choose from

 

8 0
3 years ago
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