The answer to #9 is 2.16%
Answer:
7/11
Step-by-step explanation:
All you need to do for reciprocals is flip the fraction so the denominator becomes your numerator.
Therefore the reciprocal of 11/7 is 7/11.
Answer:
-10
Step-by-step explanation:
when you subract a negative the minus signs negate each other
Answer:
(8, -8)
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
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x - 16
5y = 2x - 56
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 5(x - 16) = 2x - 56
- Distribute 5: 5x - 80 = 2x - 56
- [Subtraction Property of Equality] Subtract 2x on both sides: 3x - 80 = -56
- [Addition Property of Equality] Add 80 on both sides: 3x = 24
- [Division Property of Equality] Divide 3 on both sides: x = 8
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 16
- Substitute in <em>x</em>: y = 8 - 16
- Subtract: y = -8
Ф =5π/6
The reference angle is the smallest angle that the terminal side of the angle makes with the x-axis.
Given that here π/2 < Ф < π, the angle is in the second quadrant.
In the second quadrant the signs are:
sine positive
cosine negative
tangent negative.
Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.
Then,
sin Ф = sin π/6 = 1/2
cos Ф = - cos π/6 = -√(3) / 2
tan Ф = - tan π/6 = -√(3) /3
