The answer is 15 because you subtract 42 and 27
Answer:
The correct option is the option with:
cos Θ = 1/2
tan Θ = -√3
Step-by-step explanation:
Given that
sin Θ = -√3/2
We want to find the values of
cos Θ and tan Θ
First of all,
arcsin (-60) = -√3/2
=> Θ = 60
tan Θ = (sin Θ)/(cos Θ)
tan Θ = (-√3/2)/(cos Θ)
cos Θ tan Θ = (1/2)(-√3)
Knowing that Θ = -60,
and cos Θ = cos(-Θ), comparing the last equation, we have
cos Θ = 1/2
tan Θ = -√3
The second one is your answer!
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
