36 ft 27 ft What is the length of the hypotenuse? C feet

Mathematics

1 answer:

Romashka [77]3 years ago

4 0

36^2 + 27^2 = C^2
1296 + 729 = C^2
2025 = C^2
C = 45
45 feet is the length of the hypotenuse
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A certain ball is dropped from 204 centimeters, and has a rebound factor of 72% (The height of the ball after each bounce is 72%

lina2011 [118]

Answer:

The equation that represents the relationship between the number of bounces and the height is $H = 204\cdot 0.72^{n}$ .

Step-by-step explanation:

According to this exercise, we notice that maximum height of the ball ( $H$ ), measured in centimeters, is reduced at geometric rate and as a function of the number of bounces ( $n$ ), with no unit, which is defined by geometric progression:

$H = H_{o}\cdot r^{n}$ (1)

Where:

$H_{o}$ - Initial height of the ball, measured in centimeters.

$r$ - Bounce factor, no unit.

If we know that $H_{o} = 204\,cm$ and $r = 0.72$ , then the equation that represents the relationship between the number of bounces and the height is: