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] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 23°
Opposite Leg = <em>x</em>
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [sine]:

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

- Rewrite:

- Evaluate:

- Round:

You can write it in two types of fractions:
1) ur answer will be 26 and 2/10 which can be simplified to 26 and 1/5
2) ur answer will be 262/10 which can be simplified to 131/5
The first is the more recommended way of writing your answers.
Answer:
Hope this helps
Step-by-step explanation:
Given:
Translation of x represented by the translation rule <-6,8>.
To find:
The correct statement for the given rule of translation.
Solution:
Rule of translation is <-6,8>.
Here, x-coordinate represents horizontal shift and y-coordinate represents vertical shift.
x-coordinate is -6, which is negative. So, the figure translated 6 units left.
y-coordinate is 8, which is positive. So, the figure translated 8 units up.
Thus, translation in words is defined as "6 units to the left and 8 units up".
Therefore, the correct option is B.
Answer: 4
Step-by-step explanation: