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:
Area = 25 square inches.
Step-by-step explanation:
Consider the large base triangle first. The height is 15 - 5 = 10
The base across is 10 (the length of the smaller stick).
The Area of that triangle is 1/2 * b * h
Area = 1/2 * 10 * 10 = 50
Now the smaller triangle is the same base (the smaller stick of 10) * the height of 5
Area = 1/2 b * h
Area = 1/2 10 * 5
Area = 25
total area of the kite = 50 + 25 = 75
Answer:
Equation is 
where 
denotes number of cups of orange juice needed by Sam.
Step-by-step explanation:
Let denotes number of cups of orange juice needed by Sam.
Number of cups needed to make punch 
Number of cups with Sam 
Therefore,
Using the slope-intercept form, y=mx + b to find the slope I found that correct answer is 2/5.
The x is going to be a negative number to get the 3. so start off minus 5 from plus 5 and minus five from the other side too. the positive 5 and the negative cancel out and then take it fromt here with three and the negative 5.
