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iVinArrow [24]
3 years ago
5

Simplify the expression

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

B

Step-by-step explanation:

\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2  }{4-16 \iota^2  }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}

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Find the volume of the solid below.
Semenov [28]

Answer:

Volume = V=  346.43 cm ^3

Step-by-step explanation:

15.32 x 10 = 153.2cm Area of side

We find the height of the cylinder, to enable the radius/2 for the circle side x 2

it would be the same as triangle side 6 but the exact circumference is worked out at 6.37

We start by finding the side

As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi

10 +10 =20cm  circumference.

20/6.28 =3.1847133758 = radius

we x 2 and find the height

3.1847133758 x 2  = 6.3694267516

rounded to nearest 10th = 6.4 units exact 6.37

We find other measurements before calculating volume.

and b =  √400-√100 = √300

b= 17.32 (height for volume use) or length of right side cylinder

c= 20 hypotenuse.

Volume = πr2h

V= 3.14 * 6.37 * 17.32 =346.43

V=  346.43 cm ^3

V= 346 cm ^3 to nearest 10th

V= 346.43 cm^3

5 0
3 years ago
Triangle DEF has sides of length x, x+3, and x−1. What are all the possible types of DEF?
Natalija [7]

Triangle DEF is scalene

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6 0
3 years ago
If four pounds of a certain candy cost $10 how manu pounds of that candy can be purchased for $12
dangina [55]
4.8 pounds, set it up as 4 over ten times x over 12, 4 times 12 divided by ten equals 4.8
8 0
3 years ago
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a
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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Graph quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3) and its image after the translation (x,y)→(x−5,y−2)
maria [59]

The graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have:

Quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3)

We can graph it on the coordinate plane as shown in the picture.

After applying the translation (x, y)→(x−5, y−2), the points becomes:

A'(-3, -5)

B'(-2, 3)

C'(1, 4)

D'(0, -5)

Similarly, we can graph it on the coordinate plane (refer attached picture)

Thus, the graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

6 0
2 years ago
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