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.
Wren's bedroom is 12 feet long x 10 feet wide. She plans to purchase carpet for the entire room. The carpet costs $25 per square meter. What are the dimensions in meters? Round each to nearest tenths place.
There are 3.28084 feet in a meter.
12*3.28084=39.30078
10*3.28084=32.8084
Length:39.3
Width:32.8
The rotational symmetry has more than one order of rotational symmetry the objects can fit itself within 360 degrees.
9514 1404 393
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
Perhaps the ordered pair you want is the one that satisfies both equations.
We can find that by equating the expressions for y:
x +5 = 3x -3
8 = 2x . . . . . . . . add 3-x to both sides
4 = x . . . . . . . . . divide by 2
y = 4+5 = 9
The ordered pair is (x, y) = (4, 9).
