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8090 [49]
3 years ago
14

4. Nguyen is decorating the room for her sister's baby shower party. She is wrapping

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer:

Step-by-step explanation:

Given the information of the conical hat

  • diameter of 16 inches => Radius = 8 inches
  • height of 9 inches

=> the slant height of the hat is (use Pythagorean Theorem)

s^{2} = r^{2} + h^{2}

<=> s^{2} = 8^{2} + 9^{2}

<=> s = \sqrt{145}  

The area (without the base area) of tissue paper will she need to make one hat is:

SA = πrs  in2

<=> SA =  π*8*\sqrt{145}  in2

<=> SA =8 \sqrt{145} π

=> the total tissue paper will she need for 21 hats is:

SA*21

= 8 \sqrt{145} π*21

= 6352,18 in 2

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Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: Number of children in the park.
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The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

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Since a = 30,000 - c, we replace:

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10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

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