Answer:
Five hours at both ski resorts cost the same
Step-by-step explanation:
Let x = hours Let y = cost
Black Diamonds Ski Resort: 25 + 10x = y
Bunny Hill: 50 + 5x = y
Since the cost should be equal, we can substitute for these two equations.
25 + 10x = 50 + 5x
Solve for x:
x = 5
Check: Plug in for x
Black Diamonds Ski Resort: 25 + 10(5) = 25 + 50 = $75
Bunny Hill: 50 + 5(5) = 50 + 25 = $75
The cost is the same, so we know that five hours has the same cost at both ski resorts.
I hope this is correct! Please mark me as brainliest if this is correct :3
Answer:
The length of the hypotenuse is 2.4m
Step-by-step explanation:
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 55°
o: opposite = 2.0m
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, hypotenuse, opposite)
we look at which meets those data between the sine, cosine and tangent
is the sine
sin α = o/ah
Now we replace the values and solve
sin 55 = 2.0/h
0.81915 = 2.0/h
h = 2.0 / 0.81915
h = 2.4415 m
round to the nearest tenth
h = 2.4415 = 2.4 m
The length of the hypotenuse is 2.4m
Find cost of shoes first (7.50)
subtract from the total value (55.20-7.50= 47.7)
then divide by 5.30 (47.7/ 5.3= 9)