Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R​

Answers

Answer 1

Answer:

247.18

Step-by-step explanation:

please watch the diagram carefully to see marked areas

Two Ships P And Q Left Port At The Same Time. Q Sailed At A Bearing Of 150 Degrees While P Sailed On
Two Ships P And Q Left Port At The Same Time. Q Sailed At A Bearing Of 150 Degrees While P Sailed On
Two Ships P And Q Left Port At The Same Time. Q Sailed At A Bearing Of 150 Degrees While P Sailed On
Answer 2

According to given situation cosine law in trigonometry identities used

[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.

What is trigonometry identities.

If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:

Sine law

Cosine law

Tangent law

According to question,

The angle between RP & RQ.

Using the cosine law

[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]

[tex]x=83[/tex] degree

[tex]150-83=67[/tex]

Hence, the bearing of P from R​ is 67 degree

To know more about cosine law here

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Related Questions

A recipe for a soup calls for 2/4 cup of chopped onion and 1/5 cup of chopped
celery. What is the total amount of celery and onion needed for the soup?

Answers

Answer:

The total amount of celery and onion needed for the soup is 7/10 cup.

Step-by-step explanation:

2/4 + 1/5 = 7/10 cup.

hope it helped :)

mark me brainliest!

Yes she is right. I was going to put that.

Which product is positive?

O (2/5) (-8/9) (-1/3) (-2/7)

O (-2/5) (8/9) (-1/3) (-2/7)

O (2/5) (8/9) (1/3) (-2/7)

O (-2/5) (-8/9) (1/3) (2/7)

Answers

Answer:

D

Step-by-step explanation:

because there is an even number of negatives\

Hope this help have a good day

Answer:

4 th option

Step-by-step explanation:

The product of an even / odd amount of positive numbers is positive

The product of an even amount of negative numbers is positive.

The product of an odd amount of negative numbers is negative.

Option 1

The product of 1 positive and 3 negative numbers will be negative

Option 2

Similar to option 1

Option 3

The product of 3 positive and 1 negative will be negative

Option 4

The product of 2 negative and 2 positive numbers will be positive

What is the result of 6 ÷ 15? Use the model to find the answer.

Answers

Answer is 0.4 ok it is ok

Can someone help me with this math homework please!

Answers

Answer:

-7x and -2x

Step-by-step explanation:

because -7x and -2x are on the same side of the equation. the equal sign in the equation, -7x+12-2x = 23+13x is basically a different way of writing -7x+12-2x and 23+13x.

they're kind of like 2 separate equations. hope this helped! :)

Find the HCF of:
3x and 6x.​

Answers

Answer:

3x

Step-by-step explanation:

We need to find the HCF of given two numbers .HCF is the Highest Common factor for two or more than two numbers . The given numbers are ,

[tex]\implies Numbers = 3x \ and \ 6x [/tex]

Let's factorise the numbers , we get .

[tex]\implies 3x = 3 \times x [/tex]

[tex]\implies 6x = 3\times 2 \times x [/tex]

The common factors are 3 and x . Therefore the HCF is 3 × x = 3x .

[tex]\implies\underline{\underline{ HCF = 3x }}[/tex]

Is the discriminant of g positive, zero, or negative?

Answers

Your answer is Zero

Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3

2. 4:15

3. 3/10

4. 13/21

5. 6/16

6. 8:11

7. 9:20

8. 11:25

9. 5/16

10. 7/12

11. 6:13

12. 4:9

13. 2:5

14. 19/45

15. 12/25

Please make it quick

Answers

Answer

15. 12/25

Step-by-step explanation:

Because the surface value of this question

Find the sum
(-4) + 2/3 ​

Answers

Answer:

[tex]-3\frac{1}{3}[/tex]

Step-by-step explanation:

---------------------------------------

Given:

[tex](-4)+\frac{2}{3}[/tex]

--------------->>>>

Make the denominators the same.

[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]

--------------->>>>

Multiply inside the parenthesis.

[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]

--------------->>>>

Join the denominators.

[tex]\frac{-12+2}{ 3}=[/tex]

--------------->>>>

Add the numerators.

[tex]-\frac{10}{3}[/tex]

--------------->>>>

Convert to mixed fraction.

[tex]-3\frac{1}{3}[/tex]

---------------------------------------

Hope this is helpful.

Answer:

-10/3.

Step-by-step explanation:

(-4). 2

----- + ------

1 3

we have to make the denominator same:

so.,

-4. ×. 3. -12

---- ---- = ------

1. ×. 3. 3

-12 2. -12+2

---. + ---- =. -----------

3. 3. 3

-10

=. ----

3

What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?


Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.


Reflected over the x-axis and rotated 180°


Reflected over the y-axis and rotated 180°


Reflected over the x-axis and rotated 90° counterclockwise


Reflected over the y-axis and rotated 9

Answers

Answer:

Reflected over the x-axis and rotated 90° counterclockwise

Step-by-step explanation:

Answer:

Reflected over the x‒axis and reflected over the y-axis

Step-by-step explanation: pls mark me as brainly

can anyone help me here asapp,, I am in this question for nearly an hour

Answers

Answer:

See below

Step-by-step explanation:

Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:

AB^2 - BD^2 = AD^2

We have the values of AB and BD, so we can substitute them and solve for AD:

x^2 - (x/2)^2 = AD^2

x^2 - x^2 / 4 = AD^2

AD^2 = 3x^2 / 4

AD = x√3 / 2

DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:

AD^2 + DE^2 = AE^2

(x√3 / 2)^2 + x^2 = AE^2

3x^2 / 4 + x^2 = AE^2

AE^2 = 7x^2 / 4

AE = x√7 / 2

Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4

Therefore, we can come to the conclusion AE^2 = 7 EC^2

given the figure below, what is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

6 is x so this is the answer

HURRY NEED ASAP TRYNA FINISH SUMMER SCHOOL LOL, I WILL MARK BRAINLIEST :)) PICTURE IS THERE FOR U

Answers

Answer:

B.

Step-by-step explanation:

Since the numbers in the root is all the same, lets say [tex]\sqrt{2}[/tex] is a variable.

7x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex]

Group with like terms:

7x[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]

Combine like terms:

8x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]

There you have it! Since all the square roots are the same thing, we can treat them like variables.

the answer is B..................

Which expression is equivalent to c+c - 7c?

1- 6c
-5c
c- 6

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]

[tex]\huge\textsf{c + c - 7c}[/tex]

[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]

[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]

[tex]\large\textsf{= 2c - 7c}[/tex]

[tex]\large\textsf{= \bf -5c}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

C+c-7c

2c-7c

(2-7)C

-5C

Question 22 (5 points)
If the legs of a right triangle are 20 units and 21 units, what's the length of the
hypotenuse?
29 units
4.4 units
6.4 units
22 units

Answers

through my working i got to 41² is the hypotenuse.

21²+20²=c²

factor out the square

(21+20)²=c²

41²=c²

and 41² is 1681

Answer:

29 units

Step-by-step explanation:

i just took the quiz

Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).

Answers

Answer:

[tex]x^2 + ( y + 4)^2 = 52[/tex]

Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

[tex](x -a)^2 + ( y -b)^2 = r^2[/tex]

Given :  a = 0 , b = - 4

Step 1 : Find the radius.

       Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.

   [tex]r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\[/tex]

     [tex]= \sqrt{ 36 + 16 } \\\\= \sqrt{52}[/tex]

Step 2 : Equation of circle.

  [tex](x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52[/tex]

You are selecting meals for a school event and you are planning on at least 240 students at this event. The chicken meal will cost $5 and the beef meal will cost $8 per serving. Your total budget is $1200.00. Select a system of linear inequalities that shows the various numbers of Chicken and Beef meals you can prepare. Let x = number of chicken meals and let y = number of beef meals.

Answers

Answer:

x + y ≥ 240

5x + 8y ≤ 1200

Step-by-step explanation:

Assume;

Number of chicken meals = x

Number of Beef meals = y

Total budget = $1200

Find:

Inequality

Computation:

Number of chicken meals + Number of Beef meals  ≥ Total students

x + y ≥ 240

Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)

5x + 8y ≤ 1200

What is the value of x?

Enter your answer, as a decimal, in the box.

Answers

Answer:

x = 50.6

Step-by-step explanation:

CAN SOMEONE HELP ME ASAP!!!

Answers

Answer:

5÷35 = 1/7× 100

Step-by-step explanation:

P(E)= n(E)÷ n(s)

Answer:

17%

Step-by-step explanation:

Add all of the students up and then form a ratio:

30 students in total; 5 seniors/30 students

5/30 = 1/6 = 16.67%

(I think that's the answer, hope it helps)

18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2

Answers

Answer:

B

Step-by-step explanation:

When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function

With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it

Thus;

f(x) = x^2 would be;

g(x) = (x-4)^2

Corresponding to a shift to the right of upto 4 units on the x axis

Answer:

g(x)= (x-4)^2

Step-by-step explanation:

Plato/Edmentum

Answer qn in attachment​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct .

Step-by-step explanation:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]

[tex]option \: b \\ thank \: you[/tex]

What is the multiplicative rate of change for the exponential function f(x) = 21
2

Answers

I’m not sure but you should search it up

Find (f9)(x).

A.
B.
C.
D.​

Answers

Answer:

(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)

Step-by-step explanation:

Mathematically;

(fg)(x) = f(x) * g(x)

so we have;

4x^2 +x^4 * √(x^2 + 4)

But √(x^2 + 4) = (x^2 + 4)^(1/2)

So we have;

(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)

A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is​

Answers

Answer:

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)

muliplcation one is: (4x)(1/4)=(3) (1/4)

subtracting one is: 3x-4+4=12+4

division one is: 55/11 = 11x/11

Step-by-step explanation:

Hope this helps and good luck :)))

What is
the vertex of this
absolute value
function?

Answers

Answer:

C

Step-by-step explanation:

The vertex is the point where the 2 lines meet on the V shape

The vertex is at (3, 2 ) → C

Answer:

Option c is the answer I think so if the answer is correct plz mark me as brainliest

A big box can hold 12 marbles and a small box can hold 5 marbles. There are a total of 99 marbles. How many big boxes are there?

Answers

Answer:

7 cajas grandes y 3 cajas pequeñas  

Step-by-step explanatio:

x + 3 = 5. Find the value of x.

Answers

Answer:

2

Step-by-step explanation:

=> x + 3 = 5

=> x = 5-3

=> x = 2

Answer:

x=2

Step-by-step explanation:

x=5-3

x=2

value of x is 2

Can some help with this problem

Answers

Answer:

20 degrees.

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.

Help..................​

Answers

Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

acute, because 62 + 102 < 122
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12

Answers

Answer:

C

Step-by-step explanation:

use Pythagorean theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

c is the longest side

if [tex]a^{2}[/tex] + [tex]b^{2}[/tex] > [tex]c^{2}[/tex] then it's acute (greater than)

if [tex]a^{2}[/tex] + [tex]b^{2}[/tex] < [tex]c^{2}[/tex] then it's obtuse   (less than)

if they are equal, then its a right triangle

[tex]6^{2}[/tex] + [tex]10^{2}[/tex] = [tex]12^{2}[/tex]

36 + 100 = 144

136 = 144

136 < 144   obtuse

The correct classification for this triangle is:

obtuse, because 6² + 10² < 12²

Option C is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine the classification of a triangle based on its side lengths, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have a triangle with side lengths of 6 cm, 10 cm, and 12 cm. Checking the sum of the lengths of each pair of sides, we have:

6 + 10 = 16 > 12

6 + 12 = 18 > 10

10 + 12 = 22 > 6

Since all three pairs satisfy the triangle inequality theorem, the given side lengths do form a valid triangle.

Next, we can use the law of cosines to determine the measure of the largest angle in the triangle, which will allow us to classify it.

The law of cosines states that, for a triangle with side lengths a, b, and c, and the angle opposite c denoted as C, we have:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

In this case, the side lengths are a = 6 cm, b = 10 cm, and c = 12 cm. Substituting these values into the formula and solving for cos(C), we get:

cos(C) = (6² + 10² - 12²) / (2 x 6 x 10)

cos(C) = -1/5

Since the cosine function is negative for angles between 90 and 180 degrees, we know that angle C is obtuse.

Therefore,

The correct classification for this triangle is:

obtuse, because 6² + 10² < 12²

Learn more about triangles here:

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Prove algebraically that n^2-2-(n-2)^2 is always even solve for x. 4^(-1)=1 4.005 X 74 X 0.007 = 2.10049 Find the area of the quadrilateral. Use the following information for a manufacturer to compute cost of goods manufactured and cost of goods sold:(Click the icon to view the information.)First, compute cost of goods manufactured. Schedule of Cost of Goods Manufactured Beginning Work-in-Process Inventory $42,000 Direct Materials Used: Beginning Direct Materials $28,000 Purchases of Direct Materials 70,000 Direct Materials Available for Use 98,000 Ending Direct Materials (30,000) Direct Materials Used $68,000 Direct Labor 86,000 Manufacturing Overhead 38,000 Total Manufacturing Costs Incurred during the Year 192,000 Total Manufacturing Costs to Account For 234,000 Ending Work-in-Process Inventory (35,000) Cost of Goods Manufactured $199,000 Now compute cost of goods sold. Cost of Goods Sold Direct Materials Available for Use 98000 Cost of Goods Manufactured 199000 Cost of Goods Available for Sale Total Operating Costs Cost of Goods Sold In a(n) ________ organization, the decision-making authority is delegated as far down the chain of command as possible. Find the best way to fix this grammatically incorrect sentence:In the nursery. After the spring rain. Smelled clean.A. In the nursery, after the spring rain, the nursery smelled clean.B. The nursery smelled clean after the spring rain.C. After the spring rain; the nursery smelled clean.D. In the nursery, it smelled clean as a result of the spring rain.E. The nursery, after the spring rain, smelled clean. What are the three ways you can add recipients to your marketing emails? Add a list of contacts, add individual contacts, or save the email as a sales email. Add a list of contacts, add individual contacts, or save the email as a services email. Add a list of contacts, add individual contacts, or save the email for automation. Add individual contacts, save the email for auto can u guys give me some words or some discussion about the environmental problems like deforestation, global warming ,etc ? explain why sound wave travel faster in liquid than gas 11.Why did President Wilson order that American soldiers were to fight in separate units under American command?A. He wanted to position the U.S. to influence the postwar settlement.B. He did not trust the Allied forces not to sacrifice Americans first.C. He believed the Allied commanders had demonstrated a lack of ability.D. He hoped to gain European territory for the U.S. during the fighting. One of the purposes of this lab is to determine the order of the reaction with respect to the Allura Red dye by creating first and second-order graphs for all four trials. The correct order of the reaction is the one where the slopes of the graphs for the four trials are roughly the same. Why is this important when choosing the order of the reaction 15 POINTS AND BRANLIEST!!!y = ?x + ? csc(/2) =__ a.0 b.-1 c.1 d.undefined Nicks Novelties, Inc., is considering the purchase of new electronic games to place in its amusement houses. The games would cost a total of $475,000, have a fifteen-year useful life, and have a total salvage value of $47,500. The company estimates that annual revenues and expenses associated with the games would be as follows: Revenues $ 240,000 Less operating expenses: Commissions to amusement houses $ 70,000 Insurance 45,000 Depreciation 28,500 Maintenance 30,000 173,500 Net operating income $ 66,500 Required: 1a. Compute the payback period associated with the new electronic games. 1b. Assume that Nicks Novelties, Inc., will not purchase new games unless they provide a payback period of five years or less. Would the company purchase the new games? The Republicans believed all of the following EXCEPT: A. a vital heritage of the Revolution was individual liberties. B. the French Revolution should be opposed due to our close ties with England. C. the Federalists were instituting a system based on privilege and exploitation. D. America should commit itself to being a prosperous, agrarian republic. White blood cells work by recognizing invading pathogens by their surface fragments, called __________. Genetic drift in a population affects the gene pool in which of the following ways?decrease in genetic variationincrease in genetic variationincreased in mutationsdecreased in gene flow the justices and freedom for Cameron Herron JUNGLE BOOK BY Rudyard Kipling'S BOOKDETAILED REVIEWIN 3 PARAGRAPHS