Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
Part A: 42.50+0.65x<60
Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.
Step-by-step explanation:
Given,
Admission cost to fair = $42.50
Cost of each ride = $0.65
Amount you can spend = $60
Let,
x be the number of rides you can take.
Admission fair + Cost of each ride*number of rides < Amount you can spend
Part A: write an inequality that represents this situation.
42.50+0.65x<60
Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.
Dividing both sides by 0.65
Rounding off to nearest whole number;
x<27
Less than 27 means, you cannot take 27 rides, therefore,
You can enjoy maximum 26 rides at the fairy tale spectacular.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly