Answer:
cos(2π/35)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Pre-Calculus</u>
- Sum/Difference Formula [cosine]:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
cos(π/5)cos(π/7) + sin(π/5)sin(π/7)
<u>Step 2: Simplify</u>
- Sum/Difference Formula [cosine]: cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)
- Subtract: cos(π/5 - π/7) = cos(2π/35)
Since Suzy has 2 pens, Maurice would have 4. Then since Maurice has four pens Alice has seven times more than he does so 4•7=28. When you combine Suzy’s and Alice’s pens that gives us 30 but Paul has 2/3 of their pens so that would be 20. Since Paul has 20, Dawn has a dozen (12) more then he does so Dawn has 32 pens in total.
Answer:
11/6
Step-by-step explanation:
(15-26)/3 + (-8+19)/2
Do parentheses:
-11/3 + 11/2
Find the common denominator:
-11(2)/3(2) + 11(3)/2(3)
Multiply:
-22/6 + 33/6
Add the fractions:
11/6
Answer:
2 2/3
Step-by-step explanation: