What is the percentage increase of 260 and 299

Mathematics

1 answer:

geniusboy [140]3 years ago

3 0

You have to do 299 divided by 260

It equals 1.15, it means that the percentage increase is 15%

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Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81

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$\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72$

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Answer:

Step-by-step explanation:

Right triangle trig. Super fun! We are given the vertex angle of 27 degrees. The side across from that angle is 4, and we are looking for the hypotenuse of the triangle. That is the trig ratio sin. sin of an angle is equal to the side opposite over the hypotenuse:

$sin(27)=\frac{4}{hyp}$ and, solving for hyp: