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:
<h3>Y=-21/2x+5</h3>
Step-by-step explanation:
<u><em>SLOPE FORMULA:</em></u>
y₂-y₁/x₂-x₁=rise/run
<u><em>SLOPE-INTERCEPT FORM:</em></u>
y=mx+b
m represents the slope.
b represents the y-intercept.
y₂=(-16)
y₁=47
x₂=2
y₁=(-4)
Solve.
Furthermore, the y-intercept is 5.
y=-21/2x+5
The correct answer is y=-21/2x+5.
