Date:
Period:
2) Seven upright dominos of increasing
height are lined up to
be knocked down.
The dominos are
numbered 0 to 6. The
smallest domino, #0, is 3.00 inches tall
and will be toppled by a person to start the
chain reaction. Each subsequent domino
is 11% taller than the one before. What is
the height of domino #6?
height in inches

Adding 11% to a number is the same as multiplying the number by 1.11; we start with 3.00 inches for domino #0, and we multiply each height by 1.11 to get the next height until we get to the seventh domino.

#0: 3.00 inches

#1: 1.11 × 3.00 inches

#2: (1.11)² × 3.00 inches

#3: (1.11)³ × 3.00 inches

#4: (1.11)^4 × 3.00 inches

#5: (1.11)^5 × 3.00 inches

#6: (1.11)^6 × 3.00 inches = 5.61 inches

AnsweringGod AnsweringGod · Answer 2 · 2024-04-11T17:19:23+02:00

Answer:

The height of domino #6 is 5.08 inches.

Step-by-step explanation:

To find the height of domino #6, we first need to find the height of each subsequent domino by calculating 11% of the previous domino's height and adding it to the previous height.

Domino #1: 3.00 inches

Domino #2: 3.00 + (0.11 * 3.00) = 3.33 inches

Domino #3: 3.33 + (0.11 * 3.33) = 3.70 inches

Domino #4: 3.70 + (0.11 * 3.70) = 4.11 inches

Domino #5: 4.11 + (0.11 * 4.11) = 4.57 inches

Domino #6: 4.57 + (0.11 * 4.57) = 5.08 inches

Therefore, the height of domino #6 is 5.08 inches.