1-.25=.75
3/4*n=40
N=40/(3/4)
N=53.33
Answer: The Ball Landed 20 feet away from it was kicked.
Step-by-step explanation:
The path of a ball kicked from the ground can be modeled by the equation:
Where x represents the ground.
Substitute y= 0
So,
So, Distance covered by ball = 22-2=20
So, The ball land 20 feet away from where it is kicked.
Answer:
Step-by-step explanation:
We have the following relationships;
We can write;
We note that the numerator of , which is is the derivative of the denominator, , therefore, we can use integration by substitution method and write;
, from which we get;
Therefore, we can write;
Therefore;
csc x + cot x = (1/sin x) + ((cos x)/(sin x)) = (1 + cos x)/(sin x)
(1 + cos x)/(sin x) = (cos²(x/2) + sin²(x/2) + cos²(x/2) - sin²(x/2))/(2sin(x/2)·cos(x/2)) = (2·cos²(x/2))/((2sin(x/2)·cos(x/2)) = cos(x/2)/sin(x/2) = cot(x/2)
Therefore;
Therefore;
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!!!
X = 85
That is because 85 and x are alternate interior.
Hhope this helps :)