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
<span>The question said that Juan earns 5 percent on the first ten suits sold. Commission earned on the first ten 250.00 dollars suits = 5% of 250.00 times 10 suits = 0.05 x 250 x 10 = $125.00. The question said that he earns an additional 3 percent on additional suits exceeding 10 suits making a total of 8 percent. Since Juan sold 13 suits, he sold 3 additional suits. 8% of 250.00 times 3 suits = 0.08 x 250 x 3 = $60. Therefore, total commision = $125 + $60 = $185.00</span>
Fu/ac=mu/bc so 27/36=mu/24 so mu= 18
Answer:
A = -12
B = -8
C = -4
Step-by-step explanation:
x = -2
A = -12
x = 0
B = -8
x = 2
C = -4
Hope this helps
