Boat A is 20 km from port on a bearing of 025° and boat B is 25 km from port on a bearing of 070°. Boat B is in distress. What bearing should boat A travel on to reach boat B?

Answers

Answer 1

Answer: Boat A should travel 152.8° to reach B

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo. Triangle ABP is formed. A represents the position of boat A. B represents the position of boat B. P represents the position of the port.

We would determine AB by applying the law of cosines

AB² = AP² + BP² - 2AP×BPCosP

AB² = 20² + 25² - 2 × 20 × 25 × Cos45

AB² = 1025 - 707.10678 = 317.89322

AB = √317.89322 = 17.83

We would determine the bearing of B from A by finding angle A. We would apply the sine rule.

AB/SinP = AP/Sin A

17.83/Sin45 = 20/SinA

Cross multiplying, it becomes

17.83 × SinA = 20Sin45 = 14.14

SinA = 14.14/17.83 = 0.79

A = Sin^-1(0.79) = 52.2°

The total angle at A is 65 + 52.2 = 117.2°

The angle formed outside the third quadrant is 117.2 - 90 = 27.2°

Therefore, bearing B from A is

180 - 27/2 = 152.8°

Boat A Is 20 Km From Port On A Bearing Of 025 And Boat B Is 25 Km From Port On A Bearing Of 070. Boat

Related Questions

A certain set of data has a correlation coefficient of -0.96. What does that tell you about the data?

Answers

Answer:

there is a strong negative  correlation between data so the chosen model is a good fit

Step-by-step explanation:

a correlation coefficient close to -1 means that the model is considered a good fit; if correlation is greater than 0.8  then it's described as strong

Solve the equation 1.2x = 5.16 for x

Answers

Answer:

x = 4.3

Step-by-step explanation:

Lets solve!

1.2(x) = 5.16

Divide both sides by 1.2 to get

x = 4.3

Answer:x=4.3

Step-by-step explanation:

Step 1: Divide both sides by 1.2

1.2x/1.2=5.16/1.2

X=4.3

Which statements are true? Check all that apply.

On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis
for ed

Answers

Answer:

A,D,F

A is in Quadrant I.

D is in Quadrant III.

F is on the x-axis.

Step-by-step explanation:

got this right..... I did this like 3 months ago so I just answered this

hope this helps:)

The statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.

What is Coordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points.

On a coordinate plane, point A is (2, 3),

point B is (3, 2),

point C is (negative 2, 2),

point D is (negative 3, negative 3),

point E is (0, 3),

point F is (2, 0), and

point G is (0, 0).

A coordinate geometry has 4 quadrants, in the first Quadrant the x and y axis values are positive.

In second quadrant the coordinates are (-x, y)

In third quadrant the coordinates are (-x, -y)

In fourth quadrant the coordinates are (x, y)

A is in Quadrant I is true

D is in Quadrant III is true

F is on the x axis is true.

Hence, the statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.

To learn more on Coordinate Geometry click:

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n/10.7=3.2
PLEASE HELP!

Answers

Answer:

n=34.24

Step-by-step explanation:

solve for n by simplifying both sides of the equation, then isolating the variable

Step-by-step explanation:

Hope this helps you

Ahhh.. Okay now it's long enough

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp due

Answers

Answer: I think it is B

Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 2 to show that shape 2 is congruent to shape 1?

Answers

Answer:

i cant give you the answer because there is no picture

Answer:

Step-by-step

the only real way to answer this is to screenshot the question and post it and hopefully somebody else can solve it

Find the slope of the line going through the points (1, 2) and
(0,8).

Answers

Answer:  The slope is -6.

Step-by-step explanation:

(1,2)  (0,8)

2-8= -6

1-0= 1

-6/1= -6

Topic: The Pythagorean Theorem and Its Converse
State if the three sides lengths form a right triangle.
13) 10cm, 49.5cm, 50.5cm
(I NEED HELP PLZ SHOW WORK)
I WILL GIVE BRIANLIEST

Answers

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

The Pythagorean Theorem states that if the sum of the squares of the two small sides of a triangle add up to the square of the longest side, then the triangle is a right triangle: a² + b² = c², where a and b are the smallest sides (called legs) and c is the longest side (called the hypotenuse).

Here, the two smallest sides are 10 and 49.5, so let's square them, add them up, and see if they add up to 50.5²:

10² = 100

49.5² = 2450.25

100 + 2450.25 = 2550.25

50.5² = 2550.25

Since 10² + 49.5² equals 50.5², we know that this is a right triangle.

Thus, yes, this is a right triangle.

A line is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?
y = 5x + [?]

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 9 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, thus

y = 5x + c ← is the partial equation

To find c substitute (- 2, - 3) into the partial equation

- 3 = - 10 + c ⇒ c = - 3 + 10 = 7

y = 5x + 7 ← equation of parallel line

What is the measure of angle GFD?
40°
50°
80°
90°

Answers

Answer:

40

Step-by-step explanation:

i took the test and got it right.

Answer:

Its A on edge 40 degrees

Step-by-step explanation:

PLEASE HELP!
What is the first step in drawing a 40° angle?

A.Line up the ray with the baseline and origin on the protractor
B. Draw a mark on the paper at 40°
C. Draw a ray
D. Draw a ray connecting the vertex and the mark

Answers

Answer:

C. Draw a ray

Step-by-step explanation:

The first step in constructing an angle - or copying one - is to draw a ray. Then, you will use a protractor, compass, straightedge, etc.

Answer:

C draw a ray

Step-by-step explanation:

If you borrow $952 at 9% compound quarterly for four years, how much will you pay back by the end of the year

Answers

Answer:

23.69 per month

Step-by-step explanation:

Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6 sandwiches. Write an equation to determine how many ounces of cheese, c, Noah can use on each sandwich.

Answers

Answer:

24/6=c

Step-by-step explanation:

Well to split 24 you need to divide by 6 and that will equal the answer. An equation always has a equal sign so you know that you would be solving for c

what is 4738.46÷ by 4930.92
please i really need help :( please help me please if you are online

Answers

Answer: 4738.46 ÷ by 4930.92=0.960968744

You can use online calculators

Answer: 0.960968744

Step-by-step explanation: 4738.46/4930.92

                                             = 0.960968744

To solve -6x + 4 = -20, what steps would you perform?
A.) subtract 4
b.) add 4
C.) divide 4
D.) multiply four
next
A.)divide-6
B.)add -6
C.)multiply -6
D.) subtract -6

Answers

Answer:

I think they are both wrong

The correct way to solve it is this.

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

[tex]-6x+4-4=-20-4[/tex]

[tex]-6x=-24[/tex]

Step 2: Divide both sides by -6.

[tex]\frac{-6x}{-6} =\frac{-24}{-6}[/tex]

[tex]x=4[/tex]

Answer:

x=4

I hope to help you!!!!

First step is subtract 4 and next option is divided (-6)

So,From first part option A is the correct answer and from next part option A is the correct answer.

What steps would we perform?

This is a problem of equation part of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Here given, equation is [tex] - 6x + 4 = - 20[/tex]

Now,

-6x + 4 = -20

First we are separating variable and constant part.

So first we subtracting 4 from (-20) and get

[tex] - 6x = - 20 - 4[/tex]

or,[tex] - 6x = - 24[/tex]

Now (-24) is dividing by (-6) and get,

[tex]x = \frac{ - 24}{ - 6} \\ x = 4[/tex]

So, value of x is 4.

Equation related one more question:

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please find the kissing number

1,5,25,125,624,????​

Answers

Answer:

The answer is 3125 and I suppose that 624 is meant to be 625

Answer:

The next number should be 3,125

Step-by-step explanation:

1*5=5

5x5=25

25x5=125

125x5=625

625x5= 3,125

How many unique ways are there to arrange the letters in a word OPAL.

Answers

Answer:

24.

Step-by-step explanation:

We can use the factorial function to find the number of unique arrangements in a word.

There are 4 unique characters in 'OPAL'. As such, 4! = 24.

In the case that there were repeating characters, such as 'OPALA', then we would divide by the factorial of the number of repeating letters. That looks something like this:

[tex]\frac{5!}{2!} = 60[/tex]

Hope this helped.

Answer:

i think 24 beacuse opal has 4 letters and then u mutiply it by 6 and get 24

Step-by-step explanation:

4. Find the distance between points C and D
Round to the nearest hundredth.​

Answers

Answer:

Distance between C and D is √10 which is 3.16

Step-by-step explanation:

PLEASE HELP ME ASAP

Find the value of x.

Answers

Answer:

x=130

Step-by-step explanation:

Find the base angles of the isosceles triangle: 2y+50=180

2y=130

y=65

x=2(65)=130

Therefore, x=130

I hope this helped and have a good rest of your day!

2y+50=180

2y=130

y=65

x=2(65)=130

answer= x=130

give brainliest to the top of me NOT ME

At an office store, pens are sold by the box with 15 pens per box. The store has 232 boxes to sell. How many pens does the store have to sell? Enter your answer in the box.

Answers

Answer:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Step-by-step explanation:

1 box contain 15pens

232 boxes contain x pen

to find x we wil cross multiply

1box = 15pen

232 boxes = x pen

x pen = 232 * 15

= 3480 pens

Hence , office have to sell 3480 pens

Help!!! I need to turn in in 10 minutes

Answers

Answer:

C. If the radius decreases, then the height must decrease

Answer:

There is no change

Step-by-step explanation:

Though the radius and height are perpendicular to one another, there is no actual relationship between their lengths.

At least that is what my math teacher tells me. So if it's wrong please blame her and not me.

PLease find attached the question

Answers

Answer: 102.9m

Step-by-step explanation: From A to C you can go from the diagonal path and then go around the circular path and then continue the diagonal path. In order to work out the length of the diagonal, you can simply use pythagoras as the triangle is right angled. So to find the length of the whole diameter, you should do 50 squared plus 80 squared and then square root the answer to get 94.34. But then you have to subtract the part of the diagonal line which the circle takes up, so we already know that the diameter of the circle is 15m so we simply do 94.34-15 to get 79.34. This means that we have found the length of the two diagonals, but now we need to find the length of half the circumference of the circle so that the path is complete and to find half the circumference, we'd do Pi multiplied by the diameter (15) and then divide the answer by 2 (because we are only finding the circumference for half of the circle as we have you go around the circle), leaving us with the answer of 23.56. We then add this to the 79.34 to get the answer of 102.9m. We know this is the shortest route as going along the edges of the rectangle would be 130m which is longer than 102.9m.

Liam bought 11/8 cups of carrots. If Liam eats 2/8 cup in a serving, how many servings did Liam buy

Answers

Answer:

13/8

Step-by-step explanation:

11/8 plus 2/8 that's he ate equals 13/8

The point-slope form of a line that has a slope of
of 1
and passes through the point (3, 0) is shown.
y-0 = 2(x - 3)
What is the equation in slope-intercept form?
O y=-x-3
1
12
» Intro

Answers

Answer:

Step-by-step explanation:

y-0=1(x-3)

y=x-3

The Science Club has 6 members, 4 girls and 2 boys. What is the ratio of girls to boys in the Science Club?

Answers

Answer:

4 to 2

Step-by-step explanation:

Answer:

The ration is 2 : 1

Step-by-step explanation:

Out of 6 members, there are:

4 girls

2 guys

Ratio of girls to boys:

girls : boys

4 : 2

Simplify by dividing.

4 ÷ 2 : 2 ÷ 2

2 : 1

z-6=15 what does z equal

Answers

Answer:

z = 21

Step-by-step explanation:

z-6=15

z = 15 + 6

z = 21

hope it helps!

Answer:

z=21

Step-by-step explanation:

z-6=15

add 6 on both side

-6+6=0

6+15=21

z=21

The sum of 9 consecutive numbers is 279. What is the sum of the first and the last number?

Answers

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

what are all the key features of parabola

Answers

Answer:

A parabola has a vertex. The vertex is the point of a parabola where it changes direction. It also has an axis of symmetry which is an imaginary line that cuts it in two equal parts. A parabola may have x-intercepts ("zeros") which are points where the graph cross the x-axis. It may have x-intercepts which are points where the graph cross the x-axis.

A normal distribution has mean and standard deviation . Find the indicated probability for a randomly selected x-value from the distribution P (x > +3)

Answers

Answer:

0.0228

Step-by-step explanation:

Let us assume that the mean (μ) = 2 and the standard deviation (σ) = 0.5

Z score is a standard score used to measure the number of standard deviations by which the raw score (x) is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

For x > 3

[tex]z=\frac{x-\mu}{\sigma} =\frac{3-2}{0.5}=2[/tex]

From the normal distribution table, P(x > 3) = P(z > 2) = 1 -  P(z < 2) = 1 - 0.9772 = 0.0228

A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.


show work plz thanks!
Theoretical Probability Compound Events

Answers

Answer:

5/33

Step-by-step explanation:

five apples and seven peaches = 12 total

P( apple) = number of apples / total

               = 5/12

No replacement since you ate it

four apples and seven peaches = 11 total

P( peach) = number of peach / total

               = 4/11

P(apple, no replacement, peach) = 5/12 * 4/11 = 5/33

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