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Zina [86]
2 years ago
15

You are going to make a card tower using 3.5 in. tall cards. you decide to make the base of the triangles 2.50 in. how tall woul

d a tower with 10 tiers be?*
-card height-
Mathematics
1 answer:
Vika [28.1K]2 years ago
7 0

The total height of the card tower will be 43 inches.

<h3>What is the height?</h3>

The height is a vertical distance between two points. We have given that to make a card tower using 3.5 in. tall cards. you decide to make the base of the triangles 2.50 in. how tall would a tower with 10 tiers be?

To calculate the height of the triangular tower we will use the Pythagorean theorem which states that Pythagorean theorem states that in the right-angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The figure of the triangle is attached with the answer below The Hypotenuse is 3.5 and the base is 2.5 so the height will be calculated as:-

H² = 3.5 ² - 2.5 ²

H² = 12.25 + 6.25 = 18.5

H = √18.5 = 4.3 inches.

The height of one tier is 4.3 inches so the height of the 10 tiers will be

H = 4.3 x 10 = 4.3 inches.

Therefore the total height of the card tower will be 43 inches.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ1

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Answer:

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?    

Let us convert time taken into hours as:

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\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}

\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}

Therefore, Sebastian's average rate is 40 laps per hour.

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