Answer:
Step-by-step explanation:
In picture shown.
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
ab + a + 4b+4 = a(b+1) + 4(b+1) = (b +1)(a + 4)
Answer:
(4 2/7) x (11 1/4) = 48 3/14
Step-by-step explanation:
Answer:
There are 4 weeks in a month and 40 working hours in a week
Since the $8.60 per hour, the gross monthly salary for your new position = 8.60*40*4 = $1,376
Your gross monthly salary at present job = $1,560
So the additional amount that you need to earn at your new position = 1,560-1,376 = $184
The hourly wage for addtional hours more than 40 hours at the new position = 1 1/2 * 8.60 = 1.5*8.60 = $12.90
So, number of hours that you need to work extra = 184/12.90 = 14.26 hours per month
So, number of hours that you need to work extra per week = 14.26/4 = 3.566 hours or 3.57 hours (Rounded to 2 decimals)
Step-by-step explanation:
