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:
4.123 units
Step-by-step explanation:
Data provided:
Coordinates of point 1 as ( 4 , 2)
and,
Coordinates of point 2 as ( 0 , 1 )
Now,
The distance between the two point whose coordinates are given is calculated using the formula as:
distance = 
on substituting the values, we get
distance = 
or
distance = 
or
distance = 
or
Distance = √17 = 4.123 units
C. Lisa's lower pay was caused by babysitting for fewer hours
Answer:
BC ≈ 14 units
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
BC² + AB² = AC²
BC² + 18² = 23²
BC² + 324 = 529 ( subtract 324 from both sides )
BC² = 205 ( take square root of both sides )
BC = 
= 14.317.. ≈ 14 units ( to the nearest unit )
