33 - 4 = 29.
29 / 2 = 14.5
She traveled 14.5 miles in the cab.
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Answer:
The other point on the diameter which is also on the circle is; (-3, 2)
Step-by-step explanation:
The center of the circle, also a point where the diameter crosses, is (3, 6)
The diameter touches the circle at point (9, 10)
The displacement is (9 - 3, 10 - 6) = (6, 4)
This means that we move, +6 units along the x-axis and +4 units along the y-axis , from the center of the circle in order to reach point (9, 10)
If we want to reach the other point on the diameter which also on the circle, we move -6 units along the x-axis and -4 units along the y-axis to get;
(3, 6) - (6, 4) = (-3, 2)
Answer:
55M
Step-by-step explanation:
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
Answer:
20 tickets
Step-by-step explanation:
tickets/total tickets * 100% = 10% chance to win the raffle
x/200*100=10
solve for x
x/200 = 10/100
x = 200(0.1)
x = 20
