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azamat
3 years ago
14

Multiply (x^3 + 3x^2 + 3)(3x^3 − 6x^2 − 8x + 1)

Mathematics
2 answers:
ElenaW [278]3 years ago
4 0
When multiplying two equations like this, you need to distribute. Distribute each term to get <span><span><span><span><span><span>3<span>x</span></span></span></span></span></span></span>x^{6} <span><span><span><span><span>+ <span>3</span></span></span></span></span></span>x^{5}<span><span><span><span>− <span>26</span></span></span></span></span>x^{4}<span><span><span>−<span>14</span></span></span></span>x^{3}<span><span>−<span>15</span></span></span>x^{2}<span>−<span>24x</span></span>+<span>3</span>
Allisa [31]3 years ago
3 0
The answer is 3x^6 + 3x^5 - 26x^4 - 14x^3 - 15x^2 - 24x + 3.
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Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

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The area for a sector is given by the formula:

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Now, we can find the area of the triangle. We can use an alternative formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

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\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)

The area of the shaded region is equivalent to the sector minus the triangle:

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Therefore:

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Use a calculator:

A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2

The area of the shaded region is about 38.1 square centimeters.

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