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:
15
Step-by-step explanation:
jamestown really began in 1606 in may and columbos reached america in 1497
Answer:
A. 36
B. 3.5
Step-by-step explanation:
To solve for the first equation, we could represent the hot dogs as h(1.75-.50), since they are losing .50 cents for each hot dog, h, they make.
Since they want to know how many hot dogs they have to sell to equal the amount of money they spent, we can represent it as an equal sign.
Now all we have to do is add the constants. Add 12 to our overall equation and subtract 57, since the received $12 in donations and lost $57.
Our equation is 12+h1.75=57+.5h We can just put all of the negative numbers on one side and the positive numbers on the other to find out when they will be equal.
First, subtract 12 from 57.
h1.75=45+.5h
Now subtract .5h from both sides.
h1.25=45
Finally, divide both sides by 1.25.
h=36.
They will have to sell 36 hot dogs.
If they want to sell halve the hotdogs for the same price, simply multiply the current price by 2.
The hotdogs will have to cost $3.5.
Hope this helps!
Answer: -1.5, -1, -1/2, 1/4
Step-by-step explanation:
Answer: 18m
Step-by-step explanation: