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vladimir1956 [14]
3 years ago
13

10/2i?(dividing complex numbers)​

Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

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Simplify 6/ square root 3+2
Ivenika [448]
From what i see it could be
Exact form: 6 square root 5/ 5
Decimals: 2.68
3 0
2 years ago
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PLEASE HELP ME ITS DUE TOMORROW!! THANKS!
leonid [27]
PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12

Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36

Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36

Pablo has 1 1/36 quarts more than Rosa

PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3

Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9

Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12

Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
6 0
3 years ago
Help ASAP !! Describe the error , then correct the error and solve for x. Show work
Elenna [48]

Answer:

x= 5e

Step-by-step explanation:

because e is in parantaces

6 0
2 years ago
Can help me find area and perimeter step by step
Vera_Pavlovna [14]

Answer:

  • area: 16.28 ft²
  • perimeter: 17.05 ft

Step-by-step explanation:

The figure is shown as being composed of a semicircle and a triangle. You know the formula for the area of a circle is ...

  A = πr²

The radius of the semicircle is half its diameter, so is (4 ft)/2 = 2 ft. Then the area of a circle with radius 2 feet is ...

  A = π(2 ft)² = 4π ft²

Our semicircle has half that area, so ...

  area of semicircle = (4π ft²)/2 = 2π ft² ≈ 6.283 ft²

__

The area of the triangle is given by the formula ...

  A = (1/2)bh

Here, the base is shown as 4 ft, and the height is shown as 5 ft. Then the triangle area is ...

  triangle area = (1/2)(4 ft)(5 ft) = 10 ft²

So, the total area of the composite figure is ...

  figure area = area of semicircle + triangle area

  = 6.283 ft² + 10 ft² ≈ 16.283 ft² . . . . area of the figure

__

The perimeter of the curved portion of the semicircle is half the circumference of a circle of radius 2 ft. It will be ...

  curved perimeter = (1/2)(2πr) = πr = π(2 ft) = 2π ft ≈ 6.283 ft

The length of each side of the triangle can be found from the Pythagorean theorem. Each side of the triangle is the hypotenuse of a right triangle with legs 2 ft and 5 ft. Then it will be ...

   triangle side length = √(2² +5²) ft = √29 ft ≈ 5.385 ft

The total perimeter is ...

   perimeter = 2 × triangle side length + semicircle length

  = 2×(5.385 ft) + 6.283 ft = 17.054 ft

The perimeter of the figure is about 17.05 feet.

4 0
3 years ago
Which number comes next in the series? 7, 10, 10, 13, 16, 16,
BaLLatris [955]
19 comes next in the series, followed by two 21s.
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