A bicyclist is at point A on a paved road and must ride to point C on another paved road. The two roads meet at an angle of 38 ° at point B The distance from A to B is 18 mi , and the distance from B to C is 12 mi (see the figure), if the bicyclist can ride 22 mph on the paved roads and 6.8 mph off-road, would it be faster for the bicyclist to ride from A to C on the paved roads or to ride a direct line from A to C off-road? Explain.
A bicyclist is at point A on a paved road and must ride to point C on another paved road. The two roads meet at an angle of 38 ° at point B The distance from A to B is 18 mi , and the distance from B to C is 12 mi (see the figure), if the bicyclist can ride 22 mph on the paved roads and 6.8 mph off-road, would it be faster for the bicyclist to ride from A to C on the paved roads or to ride a direct line from A to C off-road? Explain.
Solution Summary: The author calculates the distance travelled by the bicyclist from point A and C on off road by applying the cosine.
A bicyclist is at point A on a paved road and must ride to point C on another paved road. The two roads meet at an angle of
38
°
at point
B
The distance from
A
to
B
is
18
mi
, and the distance from
B
to
C
is
12
mi
(see the figure), if the bicyclist can ride
22
mph
on the paved roads and
6.8
mph
off-road, would it be faster for the bicyclist to ride from
A
to
C
on the paved roads or to ride a direct line from
A
to
C
off-road? Explain.
Find the equation of the line / in the figure below. Give exact values using the form y = mx + b.
m =
b =
y
WebAssign Plot
f(x) = 10*
log 9
X
A particle travels along a straight line path given by s=9.5t3-2.2t2-4.5t+9.9 (in meters).
What time does it change direction?
Report the higher of the answers to the nearest 2 decimal places in seconds.
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
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