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IgorLugansk [536]
2 years ago
14

The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i

and Z2=4+5i, find Z3
Mathematics
1 answer:
aleksley [76]2 years ago
8 0

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 5+ 8i

Given that:

Z_1 = 1 + 3i

Z_2 = 4 + 5i

Since O is the origin, then:

C = OA + OB

This means that:

Z_3 = Z_1 + Z_2

So, we have:

Z_3 = 1 + 3i + 4 + 5i

Collect like terms

Z_3 = 1 + 4+ 3i  + 5i

Z_3 = 5+ 8i

Hence, complex number Z3 is 5+ 8i

Read more about complex numbers at:

brainly.com/question/18509723

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Leto [7]

Answer:

 - The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse} and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

 You can observe in the figure attached that  "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°,  the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

 This is:

cos\alpha=\frac{adjacent}{hypotenuse}

In this case:

\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse} , and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}

AC=\frac{y}{cos(x\°)}

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A librarian has 883 books to place on shelves. Each shelf holds 98 books.
egoroff_w [7]

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She will be able to fill 9 shelves with 1 book left over.

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2 years ago
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The value of which of these expressions is closest to e?
Anna [14]

Answer:

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Step-by-step explanation:

Lets evaluate each one of our expression the check which one is closest to e:

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(1+ \frac{1}{33} )^{33}=2.678207651

We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.

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What is the answer??
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U got it right.
last option
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