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Marta_Voda [28]
3 years ago
11

suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds 85% of its previous height.

How high will the ball rebound after its third bounce? Round to the nearest tenth.
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Height is 15 feet

It rebounds 85% of its original height

.85*15=12.75 feet on 1st bounce

12.75*.85=10.8375 feet on the 2nd bounce

10.8375*.85=9.211875 feet on 3rd bounce

So your answer is 9.2 feet high

Hope this helps!

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Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

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     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

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   C = √128

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However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

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This corresponds to option D.

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