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DochEvi [55]
3 years ago
13

A tea bag is shaped like a square pyramid with the base measuring 4 centimeters on each side. The dlant height is 4.5 centimeter

s. How much mesh is used to create the tea nag?
Mathematics
1 answer:
Lynna [10]3 years ago
6 0
A square pyramid is a pyramid that has a square as its base.Thus, its sides are composed of 4 triangles.

We need to get the area of the square and the triangles to get the total surface area. 

Square sides = 4 cm. 
triangle:  base = 4cm ; height = 4.5

Area of the square = s² = (4cm)² = 16 cm²
Area of the triangle = hb/2 = 4.5cm(4cm) /2 = 9 cm²
9 cm² x 4  triangles = 36 cm²

Total area = 16cm² + 36cm² = 52 cm²  is the area of the required mesh to create the tea bag.
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1. The Cajun Heartland State Fair charges $1.25 per ticket for the rides. Johnny bought 25 tickets for the rides and spent a tot
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<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .

Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.

Therefore, the price of the fair admission is: $43.75-$31.25=$12.5

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=1.25x+12.5......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

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