Question

six upright dominos of increasing height are lined up to be knocked down.The dominos sre numbered 0 to 5.The smallest domino number 0 is 5.00 cm tall and will be toppled by a person to start the chain reaction.Each subsequent domino 13% taller than the one before what is the height of domino number 5?

Answer 1

Approximately 9.23 cm

Explanation:

We can start by finding the height of each domino in the chain, starting with domino 0, which is 5.00 cm tall.

Let h be the height of domino 5. Then we can express the height of each domino in terms of h as follows:

Domino 0: 5.00 cm

Domino 1: 1.13 * 5.00 = 5.65 cm

Domino 2: 1.13 * 5.65 = 6.38 cm

Domino 3: 1.13 * 6.38 = 7.21 cm

Domino 4: 1.13 * 7.21 = 8.16 cm

Domino 5: 1.13 * 8.16 = h cm

Since we know that domino 5 is the tallest domino and is number 5 in the sequence, we can set the height of domino 5 equal to h and solve for h:

h = 1.13 * 8.16

h ≈ 9.23 cm

Therefore, the height of domino 5 is approximately 9.23 cm.