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mafiozo [28]
3 years ago
5

Two ships leave a harbor at the same time. One ship travels on a bearing Upper S 14 degrees Upper W at 15 miles per hour. The ot

her ship travels on a bearing Upper N 75 degrees Upper E at 12 miles per hour. How far apart will the ships be after 3 ​hours?
Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

69.94 miles

Step-by-step explanation:

The distance d₁ the first ship moves after 3 hours is 3 hours × 15 miles per hours = 45 miles

The distance d₂ the second ship moves after 3 hours is 3 hours × 12 miles per hours = 36 miles.

The angle the first ship's direction makes in the North-East direction is 90° - 75° = 15°

The angle the second ship's direction makes in the South-West direction  = 14°

The distance moved by the two ships form the side of a triangle. The angle,  θ between the two ship directions is 14° + 90° + 15° = 119°

Using the cosine rule, we find the distance d between the two ships

d = √(d₁² + d₂² -2d₁d₂cosθ)

= √(45² + 36² -2×45×36cos119°)

= √(2025 + 1296- (-1570.78))

= √(3321 + 1570.78)

= √4891.78

= 69.94 miles

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2 years ago
6:20=9:x=x:10=x:60=16:x=12:x
ivolga24 [154]

6:20=9:30=3:10=18:60=16:160/3=12:40

Step-by-step explanation:

The question requires you to find value of x in the ratios given;

Start with the first pair

6:20 = 9:x

6/20 =9/x

6x=20*9

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The second pair after replacing the value of x=30 will be

9:30 = x:10

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The third pair after replacing value of x=3 will be

3:10 =x:60

3/10 =x/60

180=10x

180/10 =x

18=x ⇒⇒ 3:10 = 18:60

The fourth pair after replacing value of x=18 will be;

18:60 = 16:x

18/60 = 16/x

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The firth pair after replacing value of x=160/3 will be;

16: 160/3 =12:x

16x= 160/3 *12

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x= (160 *4 )/16

x=40

⇒⇒ 16: 160/3 = 12: 40

Learn More

Ratios and proportions :brainly.com/question/9512748

Keywords : ratio, value of x, proportion

#LearnwithBrainly

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3 years ago
The length of a rectangle is 10 yards more than the width. If the perimeter is 68 yards, what are the length and width?
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Divide the perimeter by 2, this will give you the sum of one length and one width.

68/2 = 34 yards

Now the length is  10 yards more, so subtract 10 from the 34 and divide by 2 again:

34 - 10 = 24

24 /2 = 12

The width is 12 yards.

The length is 12 + 10 = 22 yards.

5 0
3 years ago
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