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Maslowich
3 years ago
11

What is the quotient?

\sqrt{x} 4X^2+3X+2" alt="X-3\sqrt{x} 4X^2+3X+2" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
romanna [79]3 years ago
7 0
You have to factor out the 3
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Hello, 

The formula for finding the area of a circular region is: A=  \frac{ \alpha *r^{2} }{2}

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A_{1} = \frac{80*r^{2} }{2}

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

cos(40)= \frac{h}{r}  \\  \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)

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A_{2}=2* \frac{b*h}{2}  \\  \\ A_{2}= [r*sen(40)][r*cos(40)]\\  \\A_{2}= r^{2}*sen(40)*cos(40)

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A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm

Answer: r= 1.59cm
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