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

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Related Questions

This is Solving Linear Equations.

Answers

Answer:

x=12

Step-by-step explanation:

you have to group the like terms in order to solve this equation, this will result to;

5/2x-3/4x=14+7

1.75x/1.75=21/1.75

x=12

I hope this helps

Required solution :

The given equation is,

(5 / 2)x - 7 = (3 / 4)x + 14

5x - 14 / 2 = (3 / 4)x + 14

Transposing 14 from R.H.S. to L.H.S.,

(5x - 14 / 2) - 14 = (3/4)x

5x - 14 - 28 / 2 = 3x / 4

5x - 42 / 2 = 3x / 4

4 (5x - 42) / 2 = 3x

4 × (5x - 42) / 2 = 3x

2 (5x - 42) = 3x

10x - 84 = 3x

10x - 3x = 84

7x = 84

x = 84 / 7

x = 12

Therefore, option d that is 12 is correct.

sam leases a car for 24 months. the car will cost him $7,000 if he decides to buy it at the end of the lease. What term describes the $7,000

Answers

Answer:

Residual value

Use the diagram to the right to name the following.

a) A line containing point F.

b) Another name for line k.

c) A plane containing point A.

d) An example of three non- collinear points.

e) The intersection of plane M and line k.

Answers

a) A line containing point F-DF

b) Another name for line k-BC

c) A plane containing point A-M

d) An example of three non- collinear points.-(B,A)

e) The intersection of plane M and line k-C

02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35

Answers

3,3,5,11,20,35,63,80

Multiply. Write your answer in the simplest form.
3/8×3/7×4

Answers

Answer:

9/14

Step-by-step explanation:

3/8 * 3/7 * 4/1

~Multiply

9/56 * 4/1

~Multiply again

36/56

~Simplify

9/14

Best of Luck!

Answer:9/14

Step-by-step explanation:

3/8×3/7=9/56

9/56×4/1

(divide the 56 by 4 and the 4 by 4)

9/14 × 1/1 = 9/14

The points (3,6) and (5,12) lie on the graph of a linear equation. Is (4,8) a solution of the same linear
equation? Explain.

Answers

After finding the equation of the line, it is found that:

Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear  equation.

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

Equation of a line:

The equation of a line is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

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

Finding the slope:

Given two points (x,y), the slope is given by change in y divided by change in x.

Points (3,6) and (5,12)Change in y: 12 - 6 = 6Change in x: 5 - 3 = 2Slope: [tex]m = \frac{6}{2} = 3[/tex]

Thus:

[tex]y = 3x + b[/tex]

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

To find the y-intercept, we replace one of the points into the equation. I will replace (3,6). Thus:

[tex]6 = 3(3) + b[/tex]

[tex]b = 6 - 9 = -3[/tex]

Thus, the equation of the line is:

[tex]y = 3x - 3[/tex]

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

Is (4,8) a solution of the same linear  equation?

We have to replace x by 4 and y by 8, and see if it results in an identity. So

[tex]8 = 3(4) - 3[/tex]

[tex]8 = 12 - 3[/tex]

[tex]8 \neq 9[/tex]

Since replacing x by 4 and y by 8 in the equation of the line does not result in an identity, (4,8) is not a solution of the same linear  equation.

A similar problem is given at https://brainly.com/question/16024991

round to the nearest place value shown​

Answers

87.3, 213.43, 672, 5980, 12800

Pls answer my question ty ;)

Answers

Answer:

x=11

Step-by-step explanation:

5x+7=62

5x=62-7

5x=55

x=11

maths work summer vacations homework

Answers

Answer:

Step-by-step explanation:

line is made up of points and its endless

eg:........................................................................................it goes on forever even though it stopped here

a line segment is not endless it starts a one point and stops at another

eg:   :-----------------------: see it stops its like starting a sentence and finshing it .

a ray is diffrent .    i dont know how to explain so heres a pic

            those orange things are called rays.

PLZ ANSWER QUICK

Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.

Answers

Answer: Answer is in the image below.

Step-by-step explanation:

When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over

Answers

Answer:

The total price is $9.30

Step-by-step explanation:

Price of the orders of popcorn= $5.25

Price of the drinks= $4.05

Find the area and perimeter of the shaded region below. Give your answer as a completely simplified exact value in terms of pi.

Answers

Answer:

23.73pi (rounded to the nearest hundredth)

Step-by-step explanation:

You can find the radius of the half-circle by looking at the triangle. You then calculate the area of a circle with that radius and divide the area by 2. Area of full circle=113.1

113.1/2=56.55. You must now calculate the area of the triangle, (6*6)/2. This gives you 18. Add your areas together, 56.55+18=74.55. Now divide your answer by pi. Then you put it as an equation of 74.55/pi = 23.73pi.

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

A = 79°

Step-by-step explanation:

CosA = adjacent ÷ hypoteneous

A = Cos^-1(6÷32)

A. =. 79.19°

A= 79°

Enter the repeating digit.

Answers

Answer:

Does the answer help you?

Answer:

6

Step-by-step explanation:

Dividing 2 by 3 gives you a repeating decimal of 0.6666...

Someone help me with this

Answers

Answer:

(6,-3) and 5

Step-by-step explanation:

Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5

a cylinder with radius 7 and height 4 is in table,then find its volume?

Answers

Answer:

V = ≈615.75

Step-by-step explanation:

hopefully that helped

Stephon makes the following statements: statement 1 lim x -3 f(x) exists and is equal to 1 statement 2 lim x 1 f(x) exists and is equal to 1

Answers

Neither statement 1, nor statement 2 are correct

The given Stephon's statements are;

Statement 1; [tex]\mathbf{\lim \limits _{x \to -3} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to -3} f(x) = 1}[/tex]

Statement 2; [tex]\mathbf{\lim \limits _{x \to 1} f(x)} \ \mathbf{Exist} \ and \mathbf{\lim \limits _{x \to 1} f(x) = 1}[/tex]

The analysis of the graph and reason for the answer

From the graphed line on the left of the y-axis, we have an open circle at x = -3, and an arrow at the other end pointing towards negative infinity, (-∞) which indicates that the domain is -∞ ≤ x < -3, therefore, at x = -3, f(x) does not exist, therefore, we can write the following statement

The limits of the domain and range of the graph includes;

[tex]\mathbf{\lim \limits _{x \to -3} f(x)} = \mathbf{Does \ not \ exist}[/tex]

f(x) = Defined for -∞ ≤ x < -3

Similarly, from the graphed line on the right of the y-axis, we have an open circle at x = 1 and an arrow at the other end of the line f(x) = 4 pointing towards positive (+∞) infinity, which indicates the domain and the graph of the function is 1 < x ≤ ∞ , therefore, f(x) does not exist at x = 1, and we can write

[tex]\mathbf{\lim \limits _{x \to 1} f(x)} = \mathbf{Does \ not \ exist}[/tex]

From we above, we have that neither statement 1, nor statement 2 are correct

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Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?

Select the correct prices in the table.

$12 $13 $14 $15

Answers

Answer:

The answer is actually 12 and 13.  

Step-by-step explanation:

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90. 

The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.

We have given that the table,  

What is the prices?

Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.

You have to plug the number in to see what is greater than or equal to 130.  12 is equal to 160, so 12 works.  13.00 is equal to 130.  14 is equal to 112 and 15 is 90.

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Decide !!!!!!!!!!!!!!!!!

Answers

Observe that

7¹ ≡ 7 (mod 100)

7² ≡ 49 (mod 100)

7³ ≡ 343 ≡ 43 (mod 100)

and (using Euclid's algorithm)

7 ⁻¹ ≡ 43 (mod 100)

so that

7⁴ ≡ 7³ × 7¹ ≡ 43 × 7¹ ≡ 1 (mod 100)

This means

7⁷ ≡ 7⁴ × 7³ ≡ 1 × 43 ≡ 43 (mod 100)

Next,

(7⁷)⁷ ≡ 43⁷ ≡ (7 ⁻¹)⁷ ≡ (7⁷) ⁻¹ ≡ 43⁻¹ ≡ 7 (mod 100)

(3 7's)

Next,

((7⁷)⁷)⁷ ≡ 7⁷ ≡ 43 (mod 100)

(4 7's)

A pattern emerges: a power tower involving an even number of 7's will reduce to 43 (mod 100), so the last two digits of ((7⁷)⁷ ... )⁷ with 2020 7's will have 43 as its last two digits.

a store charges 25 cents for each ruler and 5 cents for each penicl that it sells. if sarah bought r, rulers and p penicls from the store, which of the following repersents the amount, in cents, that the store charged her?

Answers

Answer:

Total=(0.25(p))+(0.05(r))

replace the letter value with the # of items and solve using equation

-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11

Answers

Answer:

0.5013415404

Step-by-step explanation:

You draw a red marble out of a bag and give it your friend. You draw another marble out of the bag. Are the events independent? Explain.

No; the red marble was not replaced, so it has an effect on drawing a second marble.

Yes; you may not get a red marble again.

No; you do not know which marble you will draw next.

Yes; the red marble was kept out, so you can not draw it again.

Answers

Answer:

the red marble was kept out so you can not draw it again

Answer:

Yes; you may not get a red marble again.

Step-by-step explanation:

there is a chance to get a red marble but it is not high

Answer:

Step by step explanation:​

Answers

Answer:

Step-by-step explanation:

a) [tex]t_{n}[/tex] = 2n - 3

[tex]t_{1}=2*1-3 = 2-3=-1\\\\t_{2}=2*2-3=4-3=1\\\\t_{3}=2*3-3=6-3=3\\\\t_{4}=2*4-3=8-3=5\\\\S_{4}=t_{1}+t_{2}+t_{3}+t_{4}\\\\= -1 + 1 + 3 + 5 \\\\= 8[/tex]

d)

[tex]t_{n}=\frac{2n-1}{2n+1}\\\\\\t_{1}=\frac{2-1}{2+1}=\frac{1}{3}\\\\t_{2}=\frac{4-1}{4+1}=\frac{3}{5}\\\\t_{3}=\frac{6-1}{6+1}=\frac{5}{7}\\\\t_{4}=\frac{8-1}{8+1}=\frac{7}{9}\\\\[/tex]

[tex]S_{n}=\frac{n}{2}(a+l)\\\\S_{4}=\frac{4}{2}(\frac{1}{3}+\frac{7}{9})\\\\=2*(\frac{1*3}{3*3}+\frac{7}{9})\\\\=2*(\frac{3}{9}+\frac{7}{9})\\\\=2*\frac{10}{9}\\\\=\frac{20}{9}[/tex]

Today, the members of the cabinet Group of answer choices are an informal group of presidential advisers. are limited to the heads of the fifteen executive departments. include fourteen department secretaries and the attorney general, plus other top officials chosen by the president. include only the heads of the Departments of State, Justice, Defense, and Treasury, plus the heads of the EPA, CIA, and FBI. are a subset of any six executive department heads, chosen by the president.

Answers

Answer:

include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.

Step-by-step explanation:

The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.

It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option C, 93.6 mi³

Step-by-step explanation:

Volume of the triangular prism,

(8×3.9/2)×6

= 93.6 mi³

this geometric sequence?
What is the explicit formula for
8, 4, 2, 1, ...

Answers

Answer:

D

Step-by-step explanation:

the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)

the formula for an explicit geometric formula is :

[tex]a_{n} = a_{1} * r^{(n-1)}[/tex]

plug in your numbers :

[tex]a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}[/tex]

Determine what type of transformation is represented. A. translation B. reflection C. none of these D. rotation

Answers

Answer:

D. rotation

uhhhh I need 20 characters so

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry. But flip the image.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

Translation does not change the size and shape of the geometry. But change the location of the shape.

Check all the options.

Translation is incorrect because orientation of the triangle is changed.

Reflection is incorrect because the line of the reflection is not possible for the triangles.

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.

Then the correct option is D.

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I need help with A-I on #1

Answers

Answer:

1a. 104

1b. 8x

1c. 13y

1d. xy

1e. 3+y

1f. x+7

1g. x-y

1h. x divided by y

1i. x+3

1j. 3x

1k. y-5

1l. 1/5y

2a. 26

2b. x+9

Consider the graphed function. 100POINTS!!!!


What are the domain and the range of this function?

Answers

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Step-by-step explanation:

The domain is the values that x takes

X goes from -5 included to 1 not included

-5 ≤x<1

The range is the values that y takes

y goes from -4 included to 7  not included

-4 ≤y<7

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Please mark me as brainliest :)

Step-by-step explanation:

The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series​

Answers

Answer:

The terms are - 1, 7 and 15.

Step-by-step explanation:

Let the terms be a-d, a and a+d

ATQ, a-d+a+a+d=21, a=7. a+d-(a+(a-d))=9. d=8. The terms are - 1, 7 and 15.

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