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3 years ago

6

The Olympic-size pool at the recreational center is a right rectangular prism 50m long and 25m wide.The pool contains 3000m3 of

water. How deep is the water in the pool

1 answer:

Andru [333]3 years ago

6 0

Answer:

depth of swimming pool = 2.4 meters

Step-by-step explanation:

Volume of the swimming pool = l x b x h = 3000

Volume of the swimming pool = 50 x 25 x h = 3000

h = 2.4 meters

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sergejj [24]

Answer:

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Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for <em>y. </em>Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

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Bezzdna [24]

Answer:

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Step-by-step explanation:

(-4,1) and (3,6)

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