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Umnica [9.8K]
2 years ago
8

Two ships leave a harbor at the same time. one ship travels on a bearing upper s 12 degrees upper w at 18 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 2 ​hours?
Mathematics
1 answer:
svetlana [45]2 years ago
6 0
Between N75E and E there are (90-75)=15°
Between E and S there are 90°
Between South and S12°W there 12°
Applying cosine rule 
Another way is to measure all angles clockwise from north (called azimuth) The ship at S12°W is at 180+12 = 192° 
<span>The ship at N75°E is at 75° </span>
<span>Angle between them is 192-75 = 117°
</span>
Applying cosine rule:
c=√(36²+24²-2×36×24cos117)
c=√2656.496
c=51.54 mi
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\frac{1}{100 000 000} =  10^{-8}
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3 years ago
Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 10 feet
Cerrena [4.2K]

The length of the yard is 25ft.

In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.

2l + 2w = P

2(3x + 10) + 2(x) = 60

6x + 20 + 2x = 60

8x + 20 = 60

8x = 40

x = 5

Now that we have a value for x, we can plug into the length equation and find the length.

3x + 10

3(5) + 10

15 + 10

25

8 0
3 years ago
Using appropriate properties find: <br> 6/5 × -5/7 -3/4 -5/7 × 4/5​
VARVARA [1.3K]

Answer:

1 and 4/35

Step-by-step explanation:

Use distribution property to solve:

6/5 × -5/7 -3/4 -5/7 × 4/5​ = -5/7 ( 6/5 - 3/4 ) x 4/5 = -5/7 ( 24/20 - 15/20 ) x 4/5 = -5/7 (-39/20) x 4/5 = 780 / 700 = 1 4/35

4 0
3 years ago
Find the number of degrees in the third angle of the triangle.<br> 100 degree and 49 degrees
Vesna [10]

Answer:

31

Step-by-step explanation:

4 0
2 years ago
Dorian is spreading mulch on his triangular flowerbed. If the base is 8 feet and the height is 6 feet. How many square feet of m
katovenus [111]

Answer:

24 square feet

Step-by-step explanation:

Given:

Dorian is spreading mulch on his triangular flowerbed.

The base is 8 feet.

The height is 6 feet.

Question asked:

How many square feet of mulch will he need for the flowerbed?

Solution:

The base of  triangular flowerbed = 8 feet.

The height of  triangular flowerbed = 6 feet.

now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-

As we know:

Area\ of\ triangle=\frac{1}{2} \times base\times height

                           =\frac{1}{2} \times8\times6\\\\ =\frac{48}{2} \\ \\ =24\ square\ feet

Thus, 24 square feet of mulch he will need for the flowerbed.

8 0
3 years ago
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