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

https://brainly.com/question/17289163

#SPJ2


Related Questions

What values of x make this true?
(x^2–3x+2)/(x –1) = x – 2

Answers

Answer:

Any value of x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ )

Hope This Helps!!!

The combined mass of two children is 75lbs. The first child is four times the mass of the second child. What are the masses of the two children?

Answers

The second child is about 19lbsif you want to round it otherwise it's 18 something lbs, so the first child is about... 57.
first child would be 60 lb and the second is 15

which is grater 0,7_ _ or -6.7

Answers

Answer:

There is no way to know to know because we don't have a way to see where 0,7 is on the graph

The transformation which will map triangle PQR onto P'Q'R is​

Answers

Given:

The graph of triangle PQR and triangle P'Q'R'.

To find:

The transformation that will map the triangle PQR onto P'Q'R'.

Solution:

From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.

The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.

This is possible it the figure is rotated 180 degrees about the origin.

Therefore, the correct option is A.

Sandra needs a new bicycle tire. Her tire has a circumference of about 113,04 inches. What is the radius of her tire?

Answers

Answer:

113,04 square root is 10.632027088 divided by Pi

3.38427933228

so the radius of her tire is 3.38

Hope This Helps!!!

Answer: 18 inches


Step 1: Write equation

To find the radius, we will go through the formula for the circumference. Let’s write the example equation now.

C= 2πr

Step 2: Substitute numbers

Now we can write the full equation, using the information from the question. The r will be the only number to stay the same, as we ar s working to find the radius. Let’s substitute the C in the equation for 113.04 as given in the equation.

C= 2πr
113.04= 2πr

Step 3: Solve

For step 3, we can solve the equation. Let’s start by rewriting the equation.

113.04= 2πr

Now let’s multiply what is available on the right side. This would be 2 and pi. For the sake of the equation, pi will be rounded to 3.14.

113.04= 2πr
113.04= 2•3.14•r
113.04= 6.28r

Now let’s work to get r alone on the right side. We can do so by dividing each term by 6.28, on both the left and right side.

113.04= 6.28r
113.04/6.28= 6.28r/6.28
18= r

This is your answer! To be sure, let’s check our answer in the final step.

Step 4: Check

To ensure that we got the right answer, let’s rewrite the original formula, and solve it to see if the answer is the same on the left and right side.

C= 2πr
113.04= 2•3.14•18
113.04= 6.28•18
113.04= 113.04

Our answer is correct. 18 inches is the length of the radius. Hope this helps! Comment below for more questions.

Find the value of y...​

Answers

Answer:

y=0

Step-by-step explanation:

Rewrite Evaluate Powers:

3[tex]3^{2y-1}+3^{-1}+2*3^{y}*3^{-1}=1[/tex]

Calculate:

[tex](3^{y})^{2}*\frac{1}{3} +2*3^{y}*\frac{1}{3}=1[/tex]

Solve using substitution:

[tex](3^{y})^{2}*\frac{1}{3} +\frac{2}{3} *3^{y}=1[/tex]     [tex]t=3^{y}[/tex]

Solve the equation for t:

[tex]t^{2}*\frac{1}{3}+\frac{2}{3}t=1[/tex]

t=-3

t=1

Substitute back to t=3^y

3^y=-3

3^y=1

y∉R

[tex]3^{y}=1[/tex]

y=0

Determine the value of x.

8 2
8 3
4
8

Answers

Answer:

Step-by-step explanation:

STREAM WALLS BY LOUIS TOMLINSON

Answers

Lol sounds awesome
Being a directioner love there songs XD *smiles*

Answer:

OMG I LOVE LOUIS SO MUCH HE IS SO PERFECT

Step-by-step explanation:

choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6

Answers

Answer:

Y = -6X - 15

Step-by-step explanation:

-3 = -6(-2) + B

-3 = 12 + B

B= -15

Answer:

You didn't attach the options, but y = - 6x - 15

Step-by-step explanation:

Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:

-3 = - 6 * -2 + b

Then solve for b

-3 = 12 + b

-15 = b

Then you rewrite the original formula with the values of m and b:

y = - 6x - 15

Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P=  £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the  worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5

What is the area, in square centimeters, of the isosceles trapezoid below

Answers

Answer:

A = 39.48 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4.2, b₁ = 13.5, b₂ = 5.3 , then

A = [tex]\frac{1}{2}[/tex] × 4.2 × (13.5 + 5.3) = 2.1 × 18.8 = 39.48 cm²

A = 39.48cm squared

If f(x) = x+1 and g(x) =x^2, then gf(2) =

Answers

Answer:

g(f(2)) = 9

Step-by-step explanation:

Evaluate f(2) and substitute the value obtained into g(x)

f(2) = 2 + 1 = 3 , then

g(3) = 3² = 9

Answer:

9

Step-by-step explanation:

f(x)=x+1........(i)

g(x)= x^2......( ii ).

gf(2)........(III)

substitute f( 2) to ......(I)

f(2)=2+1

f(2)=3

gx=gf(2)

gf(2)= 3^2

=9

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

Someone tell me where everyone is going right please !!

Answers

1,3and 5 are functions

Answer:

Step-by-step explanation:

( 2 , 3 ) , ( 6 , - 5) , ( - 1 , 3 ) - is a function

( 1 , 9 ) , ( -3 , - 2 ) , ( 1 , - 4 )  - is a function

( 7 , - 4 ) , ( 0 , 9 ) ,  ( 2 , - 2 ) - is a  function

( 0 , 3 ) , ( 0 , 7 ) , ( 4 , 0 ) - is a function

( -6 , 5 ) , ( -5 , 6 ) , ( 8 , 2 ) - is a function

Thank you for the help!

Answers

Answer:

see explanation

Step-by-step explanation:

cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{8}{17}[/tex]

sinM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{LN}{LM}[/tex] = [tex]\frac{15}{17}[/tex]

tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{LN}{MN}[/tex] = [tex]\frac{15}{8}[/tex]

Which set of numbers includes only integers?

a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0

Answers

Answer:

a

Step-by-step explanation:

in integer there will negative ,positive or rational number

Pls answer this pls pls

Answers

1) 520

2)60

3)2600

4)3760

Answer:

1. 520

2. 60

3. 2600

4. 3760

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

Sabe-se que EF = xcm , GH = (x + 6) cm , RS = 16 cm e NP = 28 cm . Sabendo que EF ,GH , RS ,e NP São, nessa ordem, segmentos proporcionais, determine o valor de x .

Answers

Answer:

The value of x is 8 .

Step-by-step explanation:

It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .

As EF, GH, RS and NP are in proportion

So,

EF : GH = RS : NP

[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]

What is the answer of this question?

Answers

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

a drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?​

Answers

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

SoLuTiOn☞

Amount of sugar used - 76.8 kg

No. Of Days in Month of April - 30 days

∴ Sugar used each day is = 76.8 ÷ 30

[tex]76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg[/tex]

So 2.56 kg is used everyday.

Hope This Helps You

A school received 12 boxes of notebooks. Each box had 36 notebooks. How many total notebooks did the school receive?

Answers

Answer:

12x36

Step-by-step explanation:

Answer:

36*12 = 432

Step-by-step explanation:

Express 28 as the sum of three prime numbers
a) 3, 11 and 13
b) 5, 11 and 13
c) 2, 7 and 19
d) 2, 5 and 13​

Answers

Answer:

a

Step-by-step explanation:

because is a ok yo12222122221112w

Answer:

Option C is correct

Step-by-step explanation:

[tex]3 + 11 + 13 = 27[/tex]

[tex]5 + 11 + 13 = 29[/tex]

[tex]2 + 7 + 19 = 28[/tex]

[tex] 2 + 5 + 13 = 20[/tex]

Hope it is helpful....

-4y=-20
Graph each line that represents each linear equation

Answers

Answer:

y = 5

Step-by-step explanation:

The given equation to us is

⇒ -4y = -20

⇒ y = -20/-4

⇒ y = 5

Therefore this line will pass 5 units away from y axis. For graph refer to the attachment .

More Information :-

The equation of x axis is y = 0 The equation of y axis is x = 0 .

HELP SOMEONE PLSSSSS

Answers


4y=8x
Isolate y by dividing both sides by 4
Y=2x

Sub every y with 2x

Answer is A

If a circle has a diameter of 16 feet, which expression gives its area in square
feet?
A. 8^2•r
B. 16^2 •r
C.8•r
D. 16•r

Answers

Answer:

Area of a circle is denoted by: πr^2 where r is the radius of the circle. = 16/2 = 8 feet.

Step-by-step explanation:

What percentage of temperatures are below 55°? A. 50% B. 25% C. 75% D. 20%

Answers

Step-by-step explanation:

C

im not sure of my answer. hope to help

I think d because others one

a rectangle consists of two identical squares with a common side. The perimeter of the rectangle is 27 inches. Find its area

Answers

Answer:

40.5 square inches

Step-by-step explanation:

Rectangle consists of two identical squares.

So, if the sides of square = x,

Then,  Width of rectangle = x     &

Length of rectangle = x +x = 2x

Perimeter of rectangle = 27 inches

2*(length + width) = 27

2*( 2x + x) = 27    {Combine like terms]

2* 3x = 27

    6x= 27           {Divide both sides by 6}

       x = 27/6

x = 4.5

Width = x = 4.5 inches

Length = 2x = 2*4.5 = 9 inches

Area of rectangle = length *width

                             = 4.5 *9

                             = 40.5  square inches

Answer:

40.5

Step-by-step explanation:

How do I find question number 43

Answers

Answer:

[tex]8)79 + .3y |1| 5131x - 2884 \frac{ {8 - { { - 44 - {516}^{ |?| } }^{?} }^{?} }^{2} }{?} 5 - {1 {y {1 {40091 - \times \frac{?}{?} }^{?} }^{2} }^{2} }^{2} 444 = .3 = 547 - 274[/tex]

Type the correct answer in the box. Solve the given equation by completing the square. x^2+ 8x = 38 Fill in the values of a, b, and c to complete the solutions ​

Answers

Answer:

A=2

B=8

C=-38

X=2.8/X=-6.8

Step-by-step explanation:

Helpppppppppppppppppp

Answers

Answer:

x = -7

Step-by-step explanation:

We have

PQ = (x+14)

QR = (x+12)

PR = 12

We can see that, PQ+QR = PR

So,

x+14+x+12 = 12

Solving for x.

2x = -14

x = -7

So, the value of x is equal to -7.

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