If x=width, then the equation would be:
x(x+10)=20,000
The length is 10 meters longer than the width(x), so the length is x+10.
To get the area(20,000) you multiply width by length, hence x(x+10).
Hope this helps.
Answer:
steps below
Step-by-step explanation:
arc QR = 2x57 - 41 = 73
arc PQ = 360 - 73 - 41 - 137 = 109
m∠Q = (41+137) / 2 = 89°
m∠R = (109+137) / 2 = 123°
m∠S = (109+73) / 2 = 91°
check: ∠R+∠p = 123+57 = 180
∠Q+∠S = 89+91 = 180
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:
Joe shoveled 6, Jill shoveled 9
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
