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Tasya [4]
3 years ago
13

Please help asap!!! NO WRONG ANSWERS PLS

Mathematics
2 answers:
Dovator [93]3 years ago
8 0
The answer is 41.27cm because the area of the square is 9cm. Then to find the area of the circle you multiply pie times the radius squared which gives you 50.27 so you subtract the squares are from the 50.27 and it gives the shaded par of the circle which is 41.27cm.
4vir4ik [10]3 years ago
6 0

Answer:

= 41.4 {cm}^{2}

Step-by-step explanation:

<h2><em><u>First</u></em><em><u> </u></em><em><u>case</u></em><em><u>:</u></em></h2>

Sides of a square = 3 cm

Therefore, area of the square = <em>side × side</em>

= 3cm × 3cm

= 9 {cm}^{2}

<h2><em><u>Second</u></em><em><u> </u></em><em><u>c</u></em><em><u>ase</u></em><em><u>:</u></em></h2>

Radius of the circle = 4cm

Therefore, area of the circle

= \pi  {r}^{2}

= 3.15 \times 4cm \times 4cm

= 50.4 {cm}^{2}

<h2><em><u>Last</u></em><em><u> </u></em><em><u>case</u></em><em><u>:</u></em></h2>

Area of the shaded region

= <em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>circle</em><em> </em><em>-</em><em> </em><em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>square</em><em> </em>

= (50.4 - 9) {cm}^{2}

= 41.4 {cm}^{2} (ans)

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Answer:

\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}

General Formulas and Concepts:

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Terms/Coefficients

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<u>Algebra II</u>

Polynomial Division

  • Long Division
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}<em />

<em />

<u>Step 2: Long Division</u>

<em>See attachment.</em>

  1. Multiply quotient <em>a</em> and divisor, then subtract from dividend:                      \displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}
  2. Multiply quotient <em>b</em> and divisor, then subtract from new dividend:              \displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}
  3. Multiply quotient <em>c</em> and divisor, then subtract from new dividend:              \displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}
  4. Write remainder:                                                                                               \displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}

<em>Please excuse the bad handwriting.</em>

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