Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
Answer:
D. 3x²
General Formulas and Concepts:
<u>Algebra II</u>
- If you raise e to the natural log, they cancel out and vice versa
<u>Calculus</u>
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Rewrite</u>
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<u>Step 3: Take Derivative</u>
- Basic Power Rule: f'(x) = 3x³⁻¹
- Simplify: f'(x) = 3x²
Answer:
-9
Step-by-step explanation:
Answer:
sin ∅ = 16 /34
cos ∅ = 30 /34
tan ∅ = 16 /30
Step-by-step explanation:
SOH CAH TOA
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
the hypotenuse is always across from the right angle and has the longest side
Answer:
B
Step-by-step explanation:
To evaluate g(7) substitute x = 7 into g(x) , that is
g(7) = 
× 7 - 
= 
- 
= 
→ B
