Answer:

Step-by-step explanation:
Remember 
You are given the fraction 
First, multiply the numerator and the denominator by -2-3i:

This gives you 13 in denominator, now multiply two complex numbers in numerator:

Thus, the initial fraction is

Well, for -6d to equal -13d, d would have to be 0 to satisfy this equation
Answer:
6
Step-by-step explanation:
Given mixed operations there is a particular order that must be followed.
Using the order set out in the acronym PEMDAS
P - Parenthesis ( brackets ), E- Exponents ( powers ), M - Multiplication, D - Division, A- Addition, S - Subtraction
8 + 24 ÷ (2 × 6) - 4
= 8 + 24 ÷ 12 - 4 ← parenthesis
= 8 + 2 - 4 ← division
= 10 - 4 ← addition
= 6 ← subtraction
Answer:
x ≈ 25.5°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x</em>°
Opposite Leg = 10
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: tanx° = 10/21
- Inverse trig: x° = tan⁻¹(10/21)
- Evaluate: x = 25.4633°
- Round: x ≈ 25.5°
As each chair needs 12.6667 feet lumber.So 15 chairs will need 15*12.6667=190.0005 lumber