Answer:
Step-by-step explanation:
Let X be number of woodland bicyles and Y grande expedition
Our objective is to maximize profit
Z = 250x+350Y
Constraints are: 2x+3y<450 and
x+y<375
(given)
Solution gives negative y. Hence intersecting point is not within constraint.
So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x
i.e x=225 and y =150
To maximize revenue 225 Woodland and 150 Grande to be produced
The diameter is twice as big as the radius
All you have to do is divide 321 by 3 to get $107.00 each night
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.