Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39, and the second boat travels 4 knots at a bearing of S87°W. 2 degrees * E a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?

Answers

Answer 1

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

V'=22.93KmB=132°

What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

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Related Questions

change 1.77 tones to kilograms

Answers

Answer:

1770

Step-by-step explanation:

multiply the mass value by 1000

that is the easy way

A cake mix calls for these ingredients.3 cups of milk6 cups of flour2 cups of sugar1 cup of oil

Answers

Answer:

what's up w u people and not giving context

Step-by-step explanation:

1. add ur complete problem

2. show a picture or add the question(s)

3. ur done at that point

Help on this pleases.

Answers

Answer: ASA

Step-by-step explanation:

Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?

2
3
4
5

Answers

hello!

What is [tex]\sf{\displaystyle\frac{1}{4}}[/tex] of 12?

In order to find it, we should divide 12 by 4:-

3

Now, solve our word problem:-

Matthew bought 12 roses. [tex]\sf{\displaystyle\frac{1}{4} }[/tex] of these roses were white.

And we already know how to solve this problem :)

Hence,

[tex]\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?

Answers

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

Which equation represents the data in the table?

Answers

Answer:

c

Step-by-step explanation:

It all adds up. Ex; 2*2=4   4-3=1

and continues through the rest of the table

Mrs Smith visits THE SCHOOL - outfitters to buy school clothes for the new school year.
The price of a school dress is R350 and a blazer is R650.
Calculate the percentage profit the shop makes if the cost price per dress is R280.

Answers

The shop makes 25% profit if the cost price per dress is R280.

A mirror is the shape of an ellipse defined by startfraction y squared over 7.29 endfraction startfraction x squared over 6.25 endfraction = 1 with units in feet. which statement identifies the orientation of the mirror and its greatest dimension? the mirror has a vertical orientation and is 5.4 ft tall. the mirror has a horizontal orientation and is 5.4 ft wide. the mirror has a vertical orientation and is 7.29 ft tall. the mirror has a horizontal orientation and is 7.29 ft wide.

Answers

The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.

What is the equation of ellipse if its major and minor axis are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:

[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]

For the considered case, the equation of the considered ellipse is:

[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]

Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,

the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.

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Answer:

The mirror has a vertical orientation and is 5.4 ft tall.

Step-by-step explanation:

Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.

Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!

The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) e^-x/1074 /1074

Answers

Can u add the picture please?? If u don’t mind

The probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].

What is the probability density function?

Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

The given function is;

[tex]\rm =\dfrac{ e^\frac{-x}{1074}}{1074}[/tex]

The probability density function of the time to failure of an electronic component in a copier (in hours) is given by;

[tex]\rm P(a < x < b) =\int\limits^a_b {p(x)} \, dx[/tex]

For the electronic component, the probability will be:

[tex]\rm P(a < x < b) =\int\limits^a_b {\rm \dfrac{ e^\frac{-x}{1074}}{1074}} \, dx\\\\ P(a < x < b) =\int\limits^a_b {\rm \dfrac{1074}{1074} e^\frac{-x}{1074}}} \, dx\\\\P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex]

Hence, the probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].

Learn more about probability here;

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#SPJ4

Please help I will give brainliest.

Answers

Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

what value of x makes this inequality true?
x + 16 < 43

Answers

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

~~~~~~~~~~~~~~~~~~

X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

Two students in Ms. Romean's class are working on
finding the mean for the following set of numbers: 2,
12, 16, 4, 18, 24, 32. Susan states that the answer is
15.4 when rounded to the nearest tenth. She added all
of the numbers and divided by 7. Sam disagrees and
thinks the answer is 54. She added all of the numbers
and divided by 2. Which student is correct? How do
you know? Explain your thinking!

Answers

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

Brainliest if correct

Answers

Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

Select all of the steps that are possible when solving for x.

5 1/2x + 2/3x = 37
x = 37
x = 6
37x = 6
37/6x = 37
1 1/2x + 2/3x =37

Answers

Answer:

37/6x = 6 and 5 1/2x + 2/3x = 6

Step-by-step explanation:

Please Answer ASAP

I was kind enough to give the old ones we had a the beginning of a school year
The other one is not mines

Answers

Answer:

The answer = 9

D : 729

Step-by-step explanation:

here step-by-step is 6/2 * (1 + 2) = 9                          

2m - 3 - 5= -m + 10 please help me

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3m = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 18 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 6[/tex]

Hence, value of m is 6

What shape am i 3equal side each 4cm not right angles

Answers

Answer:

Triangle

Step-by-step explanation:

A regular triangle has equal sides and no right angles. Hope this helps. ^^

vertically stretched by a factor of 2, then translated
4 units left and 1 unit down

Answers

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

How to write the given transformation?

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

If you want to learn more about transformations, you can read:

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If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?

Answers

The value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.

It is given that the  [tex]\rm tan\theta = -\frac{3}{8}[/tex]

It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have  [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.

We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.

The  [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]

or    [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]

Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:

[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  

Or

[tex]\rm cot\theta = -\frac{8}{3}[/tex]

Thus, the value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex].

 

Know more about trigonometry here:

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Answer:

first option

Step-by-step explanation:

Create a tree diagram to show the different options for the lunch options: Salad Sandwich Soup Tortellini Roast Beef Caesar Macaroni Ham Lentil Turkey​

Answers

Answer:

is there a picture of the answers?

Step-by-step explanation:

also can u help me with my question pls

Use quadratic method :
6y^2 - 4y - 3=

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

In a survey of 3,000 people who owned a certain type of​ car, 1,050 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

35 percent

Step-by-step explanation:

1050 / 3000 as a percent

1050 / 3000 = 105 / 300

Divide both sides by 3:

300 / 3 = 100

105 / 3 = 35

35 / 100 = 35 percent

34%

This is because when you divide 1,050 by 3,000 you get 0.34 then turn that into a percent then there you go

Help me on this question please!

Answers

Answer:

1/5

Step-by-step explanation:

Arrange the numbers from smallest to largest...the median is the one in the middle of the list

-12/4   - 2.5    1/5    18/5    10       the middle is 1/5

Which of the following is an expression

A. 7x = 4
B. 7 = x = 4
C. 7 - x
D. 7n - 3 = 32

Answers

Answer:

D. 7n - 3 = 32 Because is contains the neccesary amount of variables needed to be considered as an expression.

Step-by-step explanation:

Hope this helps you! :D

What is the vertex of the function below?

Answers

Answer:

lol thts 26

Step-by-step explanation:

Solve for x: -1 < x + 3 < 5

Answers

Answer:

- 4 < x < 2

Step-by-step explanation:

- 1 < x + 3 < 5  ( subtract 3 from each of the 3 intervals )

- 4 < x < 2

꧁⫷ᴀɴsᴡᴇʀ⫸꧂

-1 < x + 3 < 5

Then subtract 3 from each of the 3 intervals

- 4 < x < 2

#CarryOnLearning

#LibreAngMatuto

Can someone please help?

Simplify, 81^1/4

Answers

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?

ASAP

Answers

$18.51

Step-by-step explanation:

assuming you dont need the cost per pencil or anything...

pro set: $27.49

basic set: $8.98

subtract basic from pro.

27.49-8.98= $18.51

Answer:

I know this is a little late but your answer is 18.51

Find the slope of the line that passes through (9, 6) and (4, 5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

slope = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-6}{4-9}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]

The number 144 can be represented by 12x12 square grid which of the following can be also represented on a square grid??
A. 39 b.50 c.70 d.81

Answers

Answer:

d.81

Step-by-step explanation:

81 can be represented by a 9x9 square grid. The rest of the numbers would be represented on rectangular grids.

Answer:

D. 81

Step-by-step explanation:

81 can be represented by 9X9 square grid

9^2 = 81

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