The height that a ball bounces varies directly with the height from which it is dropped. a certain ball bounces 30 cm when dropped from a height of 50 cm. how high will the ball bounce if dropped from a height of 120 cm?

The ball will bounce 72 cm high if dropped from a height of 120 cm

Solution:

Given, The height that a ball bounces varies directly with the height from which it is dropped.  

A certain ball bounces 30 cm when dropped from a height of 50 cm.  

We have to find how high will the ball bounce if dropped from a height of 120 cm?

Now, according to given information,

When dropped from 50 cm ⇒ bounces 30 cm

Then, when dropped from 120 cm ⇒ bounces "n"  cm

Now by Chris cross method, we get,

Hence, the ball bounces 72 cm high.

3.76%

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.