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Vanyuwa [196]
2 years ago
15

It shipped traveled for a total of 85 miles over the course of five hours heading west the ship travels and average of 14 mph an

d heading north traveled an average of 19 hours for how many hours with the ship heading north
Mathematics
2 answers:
Alja [10]2 years ago
7 0

Answer:

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?

The ship heading north will travel 3 hours

Step-by-step explanation:

let w = time heading west at 14 mph

the total time is 5 hrs, therefore

(5-w) = time heading north at 19 mph

A distance equation; dist = speed * time

14w + 19(5-w) = 85

14w + 95- 19w = 85

14w - 19w = 85 - 95

-5w =-10

w = 10/5

w = 2 hrs traveling west

therefore

(2)14= 28 mile going west

:And hours the ship heading towards north:5-2=3 hours

Therefore ,The ship heading north will travel 3 hours

adoni [48]2 years ago
5 0

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

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The first choice doesn't even fit the criteria that x is between 0 and 2\pi (inclusive of both endpoints) because of the x=\frac{-7\pi}{6}.

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Let's look at the third.

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So we are eliminating 3rd choice now.

Let's look at the fourth choice.

\csc(\frac{7\pi}{6})=-2 \text{ since } \sin(\frac{7\pi}{6})=\frac{-1}{2} which means \csc(\frac{7\pi}{6}) and not greater than 1.

I was looking at the rows as if they were choices.

Let me break up my choices.

So we said x=-\frac{7\pi}{6} doesn't work because it is not included in the inequality 0\le x \le 2\pi.

How about x=0?  This leads to \csc(0) which doesn't exist because \sin(0)=0.

So neither of the first two choices on the first row.

Let's look at the second row again.

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Let's look at at the last choice.

We said it gave something less than 1 so this choice doesn't work.

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