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Sphinxa [80]
3 years ago
6

Please answer this correctly without making mistakes

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

263.76

Step-by-step explanation:

Assuming the shaded area is the yellow area all we must do is find the area of the small circle and subtract it from the larger circle.

To do this we can use the area of a circle equation:

A=\pi r^2

first we need to find the radius of the large circle which is simply 4+6= 10

so the area would be:

A=\pi 10^2\\A=100\pi

then we find the area of the small circle is

A=4^2\pi \\A=16 pi

next we evaluate:

100\pi -16\pi =84\pi

Then replace pi with 3.14:

84 · 3.14 = 263.76

And you have your answer!

Hope this helps!

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\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)

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