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:
9x^5−5x^2+7x−3
Step-by-step explanation:
2x5+3x3+−5x2+7x+1+7x5+−3x3+−4
(2x5+7x5)+(3x3+−3x3)+(−5x2)+(7x)+(1+−4)
9x^5+−5x^2+7x+−3
Answer:
Step-by-step explanation:
In the triangle,
Hypotenuse = 13
Opposite = Perpendicular = 5
Adjacent = Base = 12
Now,
Cos B = 
Cos B = 12/13
If the triangle is just like in the attached file!
We first find the lines of the motion of each truck, then calculate its intercept.
Garbage truck:
m = (12 - 4) / (5 - 3)
m = 4
4 - y = 4(3 - x)
4x - y = 8
Dump truck:
m = (33 + 3) / (-4 - 5)
m = -4
33 - y = -4(-4 - x)
4x + y = 17
Adding the two equations to solve them, we get:
8x = 25
x = 25 / 8
y = 17 - 4(25/8)
y = 17 - 25/2
y = 9/2
The trucks' point of intersection is (25/8,9/2)
9514 1404 393
Answer:
no
Step-by-step explanation:
When fractions have the same denominator, you can compare the numerators.
369 < 849
369/100 is not greater than 849/100
__
Here, you can convert these to decimal numbers and do the comparison in the usual way:
3.69 < 8.49
The most-significant digits are in the same number place (units), and they are different. The number with the smaller most-significant digit is smaller.
