Answer:
60.6°
Step-by-step explanation:
Using trigonometry :
Opposite = Height of shadow = 42 feets
Adjacent = height of flagpole = 23.7 feets
Tan θ = opposite / Adjacent
Tan θ = height of shadow / height of flagpole
Tan θ = 42 / 23.7
Tan θ = 1.7721518
θ = tan^-1(1.7721518)
θ = 60.56
θ = 60.6°
Answer:
$4.53
Step-by-step explanation:
Let us represent
The cost of a
Packet of tea = x
Packet of coffee = y
Five packets of tea and seven of coffee cost $39.40
5x + 7y = 39.40.....Equation 1
Three packets of tea and five of coffee cost $26.20.
3x + 5y = 26.20.......Equation 2
Combining both Equations
5x + 7y = 39.40.....Equation 1
3x + 5y = 26.20.......Equation 2
Multiply Equation 1 by 5 and Equation 2 by 7 to eliminate y
25x + 35y = 197.... Equation 3
21x + 35y = 183.4......Equation 4
Subtract Equation 4 from 3
3x = 13.6
x = 13.6/3
x = $4.53
Therefore, the cost of a packet of tea is $4.53
Answer:
Step-by-step explanation:
If the side length of the metal frame is 12x, the area of the frame is
(12x)^2, or 144x^2. The radius of the mirror is irrelevant here.
5x15=75. 4x10=40. 75+40=115
In total he spent $115