Answer:

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>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = 70°
Opposite Leg = <em>x</em>
Adjacent Leg = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [tangent]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

- Round:

Solve for k by simplifying both sides of the equation, then isolating the variable.
k= 23/3
simplified= 7 2/3
D. is your answer
This is the distributive property
Answer: 14 inches
Step-by-step explanation:
From the question, we are informed that a rectangle has a width of 2 inches and a length of 3 inches and has been scaled by a factor of 7.
This simply means that we've to multiply the width of the rectangle by 7 and also multiply the length of the rectangle by 7.
Old width = 2 inches
New width= 2 inches × 7 = 14 inches
The new width of the rectangle is 14 inches
Answer:
Step-by-step explanation: