Step-by-step explanation:
If Angle 1 = 94°
Then
Angle 2 = 180°-94° = 86°
( Linear pairs or supplementary angles with angle 1 )
Angle 3 = 94°
( Corresponding angle with angle 1 )
Angle 4 = 86°
( Corresponding angle with angle 2 )
Angle 5 = 94°
( Exterior alternate angle with angle 1 or vertically opposite angle with angle 3 )
Angle 6 = 86°
( Alternate Interior angle with angle 2 or vertically opposite angles with angle 4 )
Angle 7 = 94°
( Alternate Interior angle with angle 3 and vertically opposite angles with angle 1)
Angle 8 = 86°
( Alternate exterior angle with angle 4 or vertically opposite angles with angle 2 )
Hope it helps you!!
#IndianMurgaツ
4.58 is 0.08 greater than 4.5
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.
Since we neither want most expensive nor least expensive, we need to go with pillow which is costing $18.49.
So total 4 pillows cost = 4*18.49
= $73.96