Answer:
a) v + w = 13.2 i + 14.6 j
v - w = 5.2 i + 0.8 j
b) v + w = 2.5 i - 44.7 i
v - w = 21 i + 12.4 i
Step-by-step explanation:
a) For v: ∡ = 90º-50º = 40º
v = 12*cos 40º i + 12*Sin40º j
For w: ∡ = 90º-30º = 60º
w = 8*Cos 60º i + 8*Sin 60º j
v + w = (12*cos 40º+8*Cos 60º) i + (12*Sin40º+8*Sin 60º) j
v + w = 13.2 i + 14.6 j
v - w = (12*cos 40º-8*Cos 60º) i + (12*Sin40º-8*Sin 60º) j
v - w = 5.2 i + 0.8 j
b) For v: ∡ = -54º (clockwise)
v = 20*cos (-54º) i + 20*Sin(-54º) j
For w: ∡ = 270º-18º = 252º
w = 30*Cos 252º i + 30*Sin 252º j
v + w = (20*cos (-54º)+30*Cos 252º) i + (20*Sin(-54º)+30*Sin 252º) j
v + w = 2.5 i - 44.7 i
v - w = (20*cos (-54º)-30*Cos 252º) i + (20*Sin(-54º)-30*Sin 252º) j
v - w = 21 i + 12.4 i
Answer:
0.0656
Step-by-step explanation:
For each message, we have these following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four all spam, each with a 90% probability.
The fifth legitimate, with a 10% probability.
Answer:
DL/dt = 529 miles/h
Step-by-step explanation:
The radio station (point A) the point just up the radio station ( point B), and the variable position of the plane ( at specif t point C) shape a right triangle wich hypothenuse L is:
L² = d² + x²
d is the constant distance between the plane and the ground
Then differentiation with respect to time on both sides of the equation
2*L*dL/dt = 2*d* Dd/dt + 2*x*dx/dt
But Dd/dt = 0
L*dL/dt = x*dx/dt
x = 5 miles dx/dt = 570 m/h L = √ d² + x² L √ (5)² + (2)²
L = √29 L = 5.39 m
5.39 *DL/dt = 5*570 m/h
DL/dt = 5*570/5.39 miles/h
DL/dt = 528.76 miles/h
DL/dt = 529 miles/h
2. Is balanced, 3. Is unbalanced, 4. Is balanced. We need the same number of each element on both sides. The reason why 3. Is unbalanced is becauase we have 2N and 2H on the left, but only 1N and 6H on the right. If you have an expression like 3H2, this is 3 H2 molecules, meaning 6 H molecules total.
Answer:
-29/6+(10/3)
-29+20/6
-9/6
-1 and 3/6 when i turn to improper fraction