Determine whether the number is rational or irrational: -21*

Mathematics

1 answer:

timofeeve [1]2 years ago

6 0

Answer:

Rational

Step-by-step explanation:

Pi is a rational number

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Evaluate: <img src="https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D" id="TexFormula1" title="27^{\frac{2}{3} }" a

Mazyrski [523]

$\displaystyle\\27^\frac{2}{3}}=\left(\sqrt[\b3]{27}\right)^2=3^2=9\\\\OR\\\\27^\frac{2}{3}}=\sqrt[\b3]{(27)^2}=\sqrt[\b3]{729}=9$

4 0

3 years ago

Pls help , need this done by tomorrow.

quester [9]

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is $\pi$ $r^{2}$ h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P