Two straight jogging paths begin at a kiosk in a park, and the angle between the paths is 73 ° . Two runners leave the kiosk at the same time each taking one of the paths. One person runs at a rate of 5 mph , the other at a rate of 6.2 mph . After 30 min , how far apart are the runners? Round to the nearest tenth of a mile.
Two straight jogging paths begin at a kiosk in a park, and the angle between the paths is 73 ° . Two runners leave the kiosk at the same time each taking one of the paths. One person runs at a rate of 5 mph , the other at a rate of 6.2 mph . After 30 min , how far apart are the runners? Round to the nearest tenth of a mile.
Solution Summary: The author calculates the distance between two runners after 30min and the angle between the paths is 73°.
Two straight jogging paths begin at a kiosk in a park, and the angle between the paths is
73
°
. Two runners leave the kiosk at the same time each taking one of the paths. One person runs at a rate of
5
mph
, the other at a rate of
6.2
mph
. After
30
min
, how far apart are the runners? Round to the nearest tenth of a mile.
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
Elementary Statistics: Picturing the World (7th Edition)
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