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-BARSIC- [3]
3 years ago
10

Please help!!!find x​

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

9514 1404 393

Answer:

  x = (17/2)√2

Step-by-step explanation:

The ratios of sides of an isosceles right triangle are ...

  1 : 1 : √2

In this problem, that is identical to ...

  x : x : 17

That is, ...

  x=\dfrac{17}{\sqrt{2}}=\boxed{\dfrac{17}{2}\sqrt{2}}\qquad\text{after rationalizing the denominator}

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Answer:

Trampolinist will land on the trampoline after 0.9 seconds.

Step-by-step explanation:

The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.

We have to find the time when trampolinist lands on the ground.

That means we have to find the value of 't' when h(t) = 15 - 13 = 2

[Since trampoline is 2 feet above the ground]

When we plug in the value h(t) = 2

2 = -16t² + 15

2 + 16t² = -16t² + 16t² + 15

16t² + 2 = 15

16t² + 2 - 2 = 15 - 2

16t² = 13

\frac{16t^{2}}{16}=\frac{13}{16}

t^{2}=\frac{13}{16}

t = \sqrt{\frac{13}{16}}

t ≈ 0.9 seconds

Therefore, trampolinist will land on the trampoline at 0.9 seconds.

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