Answer:
The measure of the angle the cable car track makes with the valley floor = 0.66 rad = 37.95°
Step-by-step explanation:
Let the angle the cable car makes with the valley floor be θ
Let the height of the community on top of the overlooking bluff be y
Let the horizontal distance along the valley floor from the base of the incline to the foot of bottom of the height that contains the community be x
An image of this is presented in the attached file to this solution.
The grade of the Monongahela Incline is given as 78% = 0.78
This means that
(y-0)/(x-0) = 0.78
(y/x) = 0.78
Since, this setup forms a right angle triangle,
Using trigonometric relations,
Tan θ = (Opp/Adj)
Opp = y
Adj = x
(Opp/Adj) = (y/x) = 0.78
Tan θ = 0.78
θ = tan⁻¹ (0.78) = 0.6624 rad = 0.66 rad = 37.95°
Hope this Helps!!!
Answer:
see attached
Step-by-step explanation:
Triangle ABC reflected over line l into triangle A'B'C'
Answer:
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Answer:
x=10
y=12
Step-by-step explanation:
(a)
Let's assume
number of nickels is n
total number of coins is 21
so, number of dines will be 21-n
1 nickel =$0.05
1 dimes=$0.10
total value is 1.65
so, we can set up equation
now, we can solve for n
so, number of nickels is 9
number of dimes is 21-9=12..........Answer
(b)
we are given
value of the nickels =5n
we know that
value of dimes =2* value of nickels
so, we can plug it
value of dimes =2*5n
value of dimes =10n...............Answer