Answer:
m∠A = 106°
Step-by-step explanation:
All three sides of the triangle are given in the question.
To find the measure of included angle A between two sides we will apply cosine formula,
BC²= AB² + AC² - 2(AB)(AC)cosA
(13)² = (10)² + (6)² - 2(10)(6)cosA
169 = 100 + 36 - 120cosA
cosA = 
cosA = -0.275
A = 
A = 105.96°
A ≈ 106°
Therefore, m∠A = 106° will be the answer.
Answer:
2
Step-by-step explanation:
Answer:Each side of x would be 7 and each side of y would be 4.
Step-by-step explanation:
Answer:
f(-3) = -12
g(-2) = -19
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 3x - 3
g(x) = 3x³ + 5
f(-3) is <em>x</em> = -3 for function f(x)
g(-2) is <em>x</em> = -2 for function g(x)
<u>Step 2: Evaluate</u>
f(-3)
- Substitute in <em>x</em> [Function f(x)]: f(-3) = 3(-3) - 3
- Multiply: f(-3) = -9 - 3
- Subtract: f(-3) = -12
g(-2)
- Substitute in <em>x</em> [Function g(x)]: g(-2) = 3(-2)³ + 5
- Exponents: g(-2) = 3(-8) + 5
- Multiply: g(-2) = -24 + 5
- Add: g(-2) = -19
Answer:
$1,008 weekly, $52,416 annually
Step-by-step explanation:
14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)
.14 of 7200 = 1008
Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.
$1008 per week, 52 weeks in a year
52 * 1008 = $52416, her commission in 2011
