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:
first option
Step-by-step explanation:
solving the inequality
- 13 > - 5x + 2 > - 28 ( subtract 2 from each interval )
- 15 > - 5x > - 30
divide each interval by - 5 , reversing the symbols as a result of dividing by a negative quantity.
3 < x < 6
since the symbol is < then end values will be an open circle with the values between shaded blue, that is the first graph
Answer:
The mother is 30 and the daughter is 6
Step-by-step explanation:
When solving for this, you can derive the equations
x=5y and x+6= 3(y+6)
x= mother and y= Daughter
Solve the equations by substituting the first equation into the places of x in the second equation to get the value of x. Next, pug in the value of x and solve for y.
Answer:
157 is the answer
Step-by-step explanation:
If you go on google and type 235- 33% you get 157.45 and to the nearest whole number is 157 hope that helped.
What do you mean? You deposited $50 didn’t you? HUuH
