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.
3y=8x
Explanation:
If y varies directly with x then
y=c⋅x for some constant of variation c
If (x,y)=(14,23) is a solution to this equation, then
23=c⋅14
→c=23⋅41=83
So
y=83x
or (clearing the fraction)
3y=8x
Answer: 139
Step-by-step explanation:
100% + 10% = 110%
110/100 x 126 = 138.6 ≈ 139
hope this helped, if it’s wrong I’m so so so sorry :(
Answer:
348
Step-by-step explanation:
96 multiplied by 4
gives the answer that is 348
Answer:
Calculate the Macaulay duration of Annuity B at the time of purchase is 1.369.
Step-by-step explanation:
First, we use 0.93 to calculate the v which equals 1/(1+i).
= 0.93
After rearranging the equation, we get 1.07
+ 0.07v - 0.93=0
So, v=0.9
Mac D: 
After substituting the value of v, we get Mac D = 1.369.
