Answer:
50.5
Step-by-step explanation:
45+56 then divide by 2 to find the middle of the 2 numbers
Use formula a squared equals to c squared minus b squared
40^2-24^2 is 1024
Square root of 1024 is 32.0
<span>5x-6y=-15
5x+6y=12
---------------add
10x = -3
x = -3/10
x = -0.3
</span>5x+6y=12
5(-0.3) + 6y = 12
6y = 12 + 1.5
6y = 13.5
y = 13.5 / 6
y = 2.25
Answer:
Total number of members in month 34 is 1341 members.
Step-by-step explanation:
We have given,
Number of fans join a club in first month = 1044
And after the first month nine new members are allowed to join each month.
After first month , Let the number of club members in x months will be given as:
Number of members = 1044 + 9x
We need to find number of members in month 34.
So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.
i.e total number of members in month 34 = 1044 + (33×9 ) , {Since x = 33 here}
OR total number of members in month 34 = 1044 + 297 = 1341 members
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.
