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White raven [17]
4 years ago
6

Simpilify the expresssion 2+3i/4+3i

Mathematics
1 answer:
Eddi Din [679]4 years ago
3 0
Multiply the numerator and denominator by 4+5i
=[(2+3i)(4+5i)]/[(4-5i)(4+5i)] 
=[(8-15)+(12+10)i] / [16+25] <span>= [ -7 + 22i ] / [41] 
= (-7/41) + (22/41)i </span>
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The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?
laila [671]

Answer:

r = 10 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u> Geometry</u>

Volume of a Cylinder Formula: V = πr²h

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Volume <em>V</em> = 2000π ft³

Height <em>h</em> = 20 ft

Radius <em>r</em> = unknown

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Substitute in variables [Volume of a Right Cylinder Formula]:                      2000π ft³ = πr²(20 ft)
  2. [Division Property of Equality] Isolate <em>r</em> term:                                                 100 ft² = r²
  3. Rewrite:                                                                                                             r² = 100 ft²
  4. [Equality Property] Square root both sides:                                                    r = 10 ft
8 0
3 years ago
Can you help me with this please (finals)
MaRussiya [10]

Answer:

around 90 cm because that measure is equal to 180 you divide into 2 so the answer is 90

4 0
3 years ago
Read 2 more answers
How many people will 5 pitchers serve if 1/8 pitcher serves 1 person?
miskamm [114]

Answer:

20 people

Step-by-step explanation:

1/8 serves one so 1/4 does 2 . 1/2 does 3 and 1 does 4 so 4 *5 is 20

8 0
3 years ago
Suppose that when your friend was​ born, your​ friend's parents deposited ​$9000 in an account paying
MaRussiya [10]

Answer: $ 23,132.14

Step-by-step explanation:

A=P(1+r/n)^nt

A=9000(1+.068/4)^4x14

7 0
4 years ago
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang
Alika [10]

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

5 0
3 years ago
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