1.c
2.d
3.b
4.a
Im sure about 1 and 4 but a little hesitant on 2 and 3 but good luck pretty sure it’s right
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.
Answer:
the answer is B
Step-by-step explanation:
6w + 5 - 3w + 7
<h3>i) collect like terms</h3>
= 6w - 3w + 5 + 7
= 3w + 5 + 7
<h3>ii) add the numbers</h3>
= 3 w + 5 + 7
= 3w + 12
A. 1/2 ÷ 1/4= 1/2 x 4/1 = 4/2 = 2
b 4/5÷2/3 = 4/5 x 3/2 = 12/10= 6/5= 1 1/5
c. 7 ÷ 1/4 = 7x 4/1 = 28/1 = 28
d. 5/12÷ 5/6 = 5/12 x 6/5 = 30/60 = 1/2
e 3 1/3 ÷3/4 = 10/3 x 4/3 = 40/9= 4 4/9
f. 18/25 ÷ 3/5= 18/25 x 5/3 = 90/75 = 18/15= 1 3/15= 1 1/5
g. 1 ÷ 9/13 = 1/1 x 13/9= 13/9 = 1 4/9
h 1 3/5 ÷5/6 = 8/5 x 6/5 = 48/25 = 1 23/25
I 7/8÷7/16= 7/8x 16/7= 112/56 = 2
