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2 years ago

HELP PLEASEE i need it

Mathematics

1 answer:

Soloha48 [4]2 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

1st photo:

x = $\sqrt{15}$

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

$x^{2}$ = 15

x = $\sqrt{15}$

2nd photo:

(a) GEH ~ FGH ~ FEG

similar triangles, use similar corners in the right order

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

similar triangles, use similar sides in proportion

3rd photo:

x = 4.5 or 4 1/2

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

2x = 9

x = 4.5 or 4 1/2

4th photo:

Length of string = 118.2 ft

sin(40) = 76/x

x = 76/sin(40) = 118.2

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3 years ago

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(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)

anygoal [31]

Answer:

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)

= 9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

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

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

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

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally, [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

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

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2 years ago

Based on the pattern, what are the next two terms of the sequence? 7, 7/4 , 7/16 , 7/64, 7/256

IrinaVladis [17]

Answer:

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Step-by-step explanation:

4×4=16

4×16=64

4×64=256

4×256=1024

4×1024=4096

hope this helps!

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Answer: See the graph below!

I hope this helped!

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2 years ago