complete question:
A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?
Answer:
The ship heading north traveled for 3 hours
Step-by-step explanation:
A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.
speed = distance/time
total distance = 85
total time = 5 hours
speed = 85/5
speed = 17 miles/hr
West direction
Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.
speed = distance/time
14 = dist/time
let
a = time traveled west
distance = 14a
North direction
speed = dist/time
19 = dist/time
time travel north = 5 - a
distance = 19(5 - a)
distance = 95 - 19a
Total distance traveled = 85 miles
85 = 14a + 95 - 19a
85 = -5a + 95
-10 = -5a
a = -10/-5
a = 2
The ship heading north will travel for 5 - 2 = 3 hours
42% ................................
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
Answer: a.) 40320
b.) 336
Step-by-step explanation:
since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.
Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:
8*7*6*5*4*3*2*1 = 40320.
b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:
8*7*6 = 336
Answer:
26
Step-by-step explanation:
Distance between (-2,5) and (-2,1) is 5
Distance between (-2,5) and (6,5) is 8
Distance between (6,5) and (6,1) is 5
Distance between (6,1) and (-2,1) is 8
5+8+5+8=26
