Both angles equal 73, according to the vertical angle conjecture. To solve for x:
(1+2x)=73
2x=72
x= 36
Answer:
3.1x+2.8z
3.1 over 10x +14 over 15 z
1 over 10 x (3.1x + 2.8z)
4.3x - 1.2z =
43 over 10x - 6 over 5z
1 over 10 x (43x-12z)
V is the 3D region enclosed by S.
div(F)= <span>∂(x)/∂x + ∂(y)/∂y + ∂(10)/∂z = 2
</span>
<span>∫ = ∫∫∫ [V] div(F) dV = 2 ∫∫∫ [V] dV
Using cylindrical coords, ( rcos(θ), y, rsin(θ) ), dV=rdrdθdy
∫ = 2 ∫∫∫ rdrdθdy, [r=0,1], [θ=0,2π], [y=0,7−rcos(θ)] = 14π (easily integrated)</span><span>
</span>
We first need to find the distance.
The information about Mike will provide the distance we need to answer the question about Pedro.
We will use D = rt
Mike:
(6.5)((17/5) = D
22.1 miles = D
Pedro:
D = rt
22.1 = (19/5)t
We need to find t.
22.1 ÷ 3.8 = t
5.8157894737 = t
We now round off as instructed.
5.82 = t
It took Pedro 5.82 hours to reach the lake.
Answer:
x = -(4/3)
Step-by-step explanation:
