consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
Answer:
x = 10.5
Step-by-step explanation:
we know that ZP = PX (its the midpoint of the rectangle)
11 = PX
ZP + PX = ZX
11+11 = ZX
22 = ZK
2x + 1 = 22
2x = 22 -1
2x = 21
x = 21/2
x = 10.5
Answer:
a. +150, b. -15 yards, c. -75 feet, d. +35 degrees, e. -$24.75
Step-by-step explanation:
You are just evaluating the (-) and (+) symbol based off the term being used. If they are gaining something its a (+) if its a loss in any way shape or form it is a (-)
Answer: $3,166
Step-by-step explanation:
Answer:
111 / 190
Step-by-step explanation:
Total biscuits = 20
Plain, P = 12
Chocolate, C = 5
Currant, K = 3
Assume without replacement :
Probability that biscuit are of the same type :
P(plain) :
12 / 20 * 11 / 19 = 132 / 380
P(chocolate) :
5/ 20 * 4 / 19 = 20/ 380
P(currant) :
3/20 * 2 /19 = 6 / 380
Therefore,
Probability that biscuit is of the same type :
P(plain) + P(chocolate) + P(currant)
132/380 + 20/380 + 6/380
158 / 380 = 79 / 190
Therefore, probability that biscuit aren't of the same type :
1 - P(biscuit is of same type)
1 - 79/190
(190 - 79) / 190
111 / 190
