A. 208 in squared B. 352 in squared C. 136 in squared

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

I think (A.) if not im so sorry
Good luck

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What is the square root of 64 over 225 with a negative outside of the radical?

irinina [24]

The square root of (64/225) is the same as √64 / √225 .
That could make the whole thing easier.

Do you know what either of those separate square roots is ?

You're right ! I'm so impressed!
The square root of 64 IS 8, and the square root of 225 surely is 15 .
You really know your stuff !

So now, the expression is √64 / √225 = <em>8 / 15</em> .

Oh, I almost forgot, it has a negative sign before it. OK,so the answer is <em>- 8/15</em> .

5 0

3 years ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

$h(t)=-4.9t^2+121t+283$

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

$h(t)=0\implies-4.9t^2+121t+283=0$

Using the quadratic formula, the solution for our problem is

$\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}$

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have