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OLga [1]
2 years ago
11

HELP PLEASEE i need it

Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

<u><em>1st photo:</em></u>

x = \sqrt{15}

\frac{x}{5} = \frac{3}{x}

x^{2} = 15

x = \sqrt{15}

<u><em>2nd photo:</em></u>

(a) GEH ~ FGH ~ FEG

<em>similar triangles, use similar corners in the right order</em>

(b) \frac{FE}{GE} = \frac{GE}{EH}   AND    \frac{FH}{GH} = \frac{GH}{HE}

<em>similar triangles, use similar sides in proportion</em>

<em />

<u><em>3rd photo:</em></u>

x = 4.5 or 4 1/2

\frac{x}{3} = \frac{3}{2}

<em>2x = 9</em>

<em>x = 4.5 or 4 1/2</em>

<em />

<u><em>4th photo:</em></u>

Length of string = 118.2 ft

<em>sin(40) = 76/x</em>

<em>x = 76/sin(40) = 118.2</em>

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Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

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For the expression (2 + i)(1 - i), we have;

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= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

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Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

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