A square has an area of 289 sq cm. what is the length of one side

1 answer:

5 0

For this problem you can do it one of two ways. The first way would be simply take the square root because the area of a square is one side squared. The other way using the same rule would be to go up from a reasonable number and square it, if that is not the number you are looking for add 1 to the original number and square it again. if you cannot square and square root in your head, you should be allowed to use a calculator to get the answer or 17 as the length of a side.

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alex41 [277]

Integrate by parts, setting

$\begin{matrix}u=\ln R&&\mathrm dv=\dfrac{\mathrm dR}{R^2}\\\mathrm du=\dfrac{\mathrm dR}R&&v=-\dfrac1R\end{matrix}$

So the integral is

$\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\dfrac{\ln R}R\bigg|_{R=1}^{R=5}+\int_1^5\frac{\mathrm dR}{R^2}$
$\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\left(\frac{\ln5}5-\frac{\ln1}1)-\frac1R\bigg|_{R=1}^{R=5}$
$\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=-\frac{\ln5}5-\left(\frac15-1\right)$
$\displaystyle\int_1^5\frac{\ln R}{R^2}\,\mathrm dR=\frac15(4-\ln5)$

5 0

4 years ago

What’s the sum of 4+4?<br> (Yw)

Olegator [25]

its just 4+4 its 8

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Determine whether the triangles are simlar. If so, write a similarty statement.

Zolol [24]

Try this option:
6) similar: ∠C=∠E=60; ∠ABC=∠DBE.
7) similar:
ΔLMN: ∠L=75; ∠M=50; ∠N=180-125=55°; ΔPOQ: ∠O=75; ∠Q=55; ∠P=180-130=50°.