The Captain of a boat is steering at
a heading of
327° at 18 mph.
The current is flowing at a rate of 4mph
at a heading of 60°. Find the course to the
nearest deguse of the boat.

Answers

Answer 1

Answer:

59.97 º at 18.23 mph

Step-by-step explanation:


Related Questions

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

X+y=4

{

X-y=2

Answers

Answer:

The solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]x+y=4[/tex]

[tex]x-y=2[/tex]

solving the system of the equations

[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=4}[/tex]

[tex]-2y=-2[/tex]

solving

[tex]-2y=-2[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]

[tex]y=1[/tex]

[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]

[tex]x+1=4[/tex]

[tex]x=3[/tex]

Therefore, the solution to the system of the equations will be:

[tex]x=3,\:y=1[/tex]

WILL GIVE BRAINLY!!!! HELP!!!!​

Answers

Answer:

A is correct, the one you selected

Step-by-step explanation:

Answer:

A is the correct option

Step-by-step explanation:

sorry im a bit late lol

:)

5x - ( 4x - 1) = 2
a. 1/9
b. -1
c. - 1/9
d. 1​

Answers

Answer:

D. 1

Step-by-step explanation:

Distribute the -1

5x - 4x +1 = 2

1x = 1

x=1

i am in doubt in this task ​

Answers

Answer:

zoomMeeting ID: 8570913589 Passcode: K58Ech

Explanation:

NO FACE SHOWING   N^de ZOOM

Step-by-step explanation:

Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2​

Answers

Answer:

Function B

Step-by-step explanation:

✍️Rate of change for Function A:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

The ordered pairs for the first function are

[tex](0,1),(4,2),(8,3),(12,4)[/tex]

Slope

[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

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

where

m = Slope or rate of change

c = y intercept

Here, the equation is

[tex]y=0.75x-2[/tex]

The slope is 0.75.

Function B has a greater rate of change.

Learn more:

https://brainly.com/question/20423510?referrer=searchResults

https://brainly.com/question/25413713?referrer=searchResults

Is the equation y= -x+ 5 linear?

Answers

Answer:

No.

Step-by-step explanation:

A linear equation simplified should become y=mx+b.

No, the equation is not linear

Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.

Answers

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

Hope that helped :)

Ansha drove 45 MPH (miles per hour). How far can she go in 3 hours?

Answers

Answer:

135 miles

Step-by-step explanation:

45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.

A survey found that 60% of shoppers at My-Way-Store like chocolate ice cream. If 240 boppers like chocolate ice cream, how many people were surveyed?

Answers

Answer:

400

Step-by-step explanation:

240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%

Answer:

400

Step-by-step explanation:

60/100  =  240/?

Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)

240 x 100 = 24,000

24,000 divided 60 = 400

400 were survreyed

help me please 20 points

Answers

Answer:

- 8n + 9

Step-by-step explanation:

A - B

= - 3n + 2 - (5n - 7) ← distribute by - 1

= - 3n + 2 - 5n + 7 ← collect like terms

= - 8n + 9 → or 9 - 8n

what is 8-2(2x +1) +5x PLS HELP ME

Answers

Answer:

6+x

Step-by-step explanation:

I used photo math have a great thanksgiving

solve (2x-10)=(65-x) show your work plz!

Answers

Answer: x=25

Step-by-step explanation:

Simplifying

(2x + -10) = (65 + -1x)

Reorder the terms:

(-10 + 2x) = (65 + -1x)

Remove parenthesis around (-10 + 2x)

-10 + 2x = (65 + -1x)

Remove parenthesis around (65 + -1x)

-10 + 2x = 65 + -1x

Solving

-10 + 2x = 65 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-10 + 2x + x = 65 + -1x + x

Combine like terms: 2x + x = 3x

-10 + 3x = 65 + -1x + x

Combine like terms: -1x + x = 0

-10 + 3x = 65 + 0

-10 + 3x = 65

Add '10' to each side of the equation.

-10 + 10 + 3x = 65 + 10

Combine like terms: -10 + 10 = 0

0 + 3x = 65 + 10

3x = 65 + 10

Combine like terms: 65 + 10 = 75

3x = 75

Divide each side by '3'.

x = 25

Simplifying

x = 25

Sorry if its too confusing!

^ they showed the work Give me thanks and the answer is x=25

2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.

Answers

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

A snack bar at an outdoor fair is open from 10 A.M. To​ 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.

Answers

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

Solve using Elimination

3x+y=-9
y=5x+7

Answers

Answer

x=-2 and y=-3

Step-by-step explanation:

Step: Solvey=5x+7for y:

Step: Substitute5x+7 for y in 3x+y=−9:

3x+y=−9

3x+5x+7=−9

8x+7=−9(Simplify both sides of the equation)

8x+7+−7=−9+−7(Add -7 to both sides)

8x=−16

8x/8=−16/8

(Divide both sides by 8)

x=−2

Step: Substitute−2 for x in y=5x+7:

y=5x+7

y=(5)(−2)+7

y=−3(Simplify both sides of the equation)

8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years , to the nearest cent?

Answers

Answer:

bruh

Step-by-step explanation:

42

(PLEASE ANSWER!!!) The equation 6x = y is proportional. True or false?

The equation 6x + 8 = y is proportional. True or false?

Answers

Answer:

No, it is not proportional

Step-by-step explanation:

What is the value of the expression below?
8 *divide* 2 + 6x5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

WILL GIVE BRAINLIEST.
Find the equation of the line. Use the exact numbers.

Equation: y = __ x + __

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Thirty Years’ War accepting an invitation to tutor the queen of Sweden awaking from sleep due to three vivid dreams learning of Galileo’s imprisonment

Answers

Learning of Galileo’s imprisonment. You can also look this up on Brainly and Google

Answer:

Learning of Galileo’s imprisonment

Step-by-step explanation:

I just went over this last week and i am 100% sure that this is correct

−5.55−8.55c+4.35c ples

Answers

Your answer would be -5.55-4.2c

HEEELLLPP!
This is a test! I need the answer as soon as possible!
Whoever gets it right gets Brainliest!

Answers

Sup noob
Having a test ?

Answer:

16

Step-by-step explanation:

f(x)=3x^(2)+2x,g(x)=5x-12, find f(2)= 16

Timothy has $500. He spends $50 each week on
groceries. Write an equation to find the total amount
of money he has left, y, after x weeks have passed.

Answers

Answer:

It takes 10 weeks to spend each $500

Step-by-step explanation:

If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks

To make it to 500 dollars we would have to use the equation 100x5.

This equals to 500

We could also do 100 plus 100 plus 100 plus 100 plus 100.

add 2/3 +-7/11 +-1/4​

Answers

Answer:

1 73/132

Step-by-step explanation:

GCF of 4, 11 and 3 is 132.

Convert the fractions and add!

the sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph that represents the number

a) x=4

b) x=6

c) x=7

d) x=9

Answers

Answer:

b

Step-by-step explanation:

If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of 1 and 3 times a number is 22.

Let the unknown number be x

1+3x=22

Now subtract 1 from both the sides

1+3x-1=22-1

3x=21

Divide both sides by 3

x=7

So the solution of sentence sum of 1 and 3 times a number is 22 is 7.

x=7 is the equation of graph that represents the number

Hence x=7 is the equation of graph that represents the number

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?

Answers

Answer:

340 cars on her wall

( Brainlyst will help my rank, thanks! <3 )

Una escalera de 131313 metros está recargada contra una pared cuando su base empieza a resbalar. Cuando la base está a 121212 metros de la pared, se mueve a una razón de 5\text{ m/s}5 m/s5, start text, space, m, slash, s, end text. En ese momento, ¿a qué razón está cambiando el ángulo \thetaθtheta entre el piso y la escalera?

Answers

Answer:

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Step-by-step explanation:

Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.

Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:

[tex]\cos \theta = \frac{x}{l}[/tex]  (1)

Por diferenciación implícita y la definición de razón de cambio tenemos que:

[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)

Donde:

[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.

[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.

Pero tenemos que el seno del ángulo está definido por:

[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)

Si aplicamos (3) en (2), expandimos la ecuación como sigue:

[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]

[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)

Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:

[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]

[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Which point represents the quotient of 3-1?

A
B
C
D

Answers

The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)

The quotient is given as:

[tex]Quotient = \frac{3 - i}{i}[/tex]

Rationalize the expression

[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]

Expand the above expression

[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]

Evaluate all exponents

[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]

Remove bracket

[tex]Quotient = \frac{3i +1}{-1}[/tex]

Rewrite the above expression as follows:

[tex]Quotient = -3i -1[/tex]

Further, rewrite as:

[tex]Quotient = -1-3i[/tex]

In the above expression, the real part is -1, and the imaginary part is -3.

This point is represented by point C, because:

[tex]C = (-1,-3)[/tex]

Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)

Read more about complex numbers at:

https://brainly.com/question/2218826


Pls help i can’t figure this out

Answers

Step-by-step explanation:

1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.

Write the following statement
as a conditional statement.
Stars have ten vertices.
If a figure is a star. then it has ten vertices
If figure has ten vertices. then it is a star.
A figure is a star. If and only if it has ten vertices
Star are figures with en vence:​

Answers

Answer:

if a figure has ten vertices then it is a star

Other Questions
Select the correct text in the passage. Read this excerpt from Alice Gerstenberg's Alice in Wonderland. Which line of dialogue shows that Humpty Dumpty is proud of his appearance? ALICE: My name is Alice, but- HUMPTY DUMPTY: It's a stupid name enough, what does it mean? ALICE: Must a name mean something? HUMPTY DUMPTY: Of course it must, my name means the shape I am-and a good, handsome shape it is, too. With a name like yours, you might be any shape, almost. ALICE: You're Humpty Dumpty! Just like an egg. HUMPTY DUMPTY: It's very provoking, to be called an egg-very. ALICE: I said you looked like an egg, Sir, and some eggs are very pretty, you know. HUMPTY DUMPTY: Some people have no more sense than a baby. ALICE: Why do you sit here all alone? HUMPTY DUMPTY: Why, because there's nobody with me. Did you think I didn't know the answer to that? Ask another. ALICE: Don't you think you'd be safer down on the ground? That wall's so very narrow. HUMPTY DUMPTY: What tremendously easy riddles you ask! Of course I don't think so. Take a good look at mel I'm one that has spoken to a king, I am, to show you I'm not proud, you may shake hands with me! plz help me soon!!! True or false the early trade between African and Europeans consisted of mostly goods and natural resources is silver tarnishing a physical change or a chemical change? Suppose the beta of Microsoft is 1.13, the risk-free rate is 3 percent, and the market risk premium is 8 percent. Calculate the expected return for Microsoft. A. 12.04 percent B. 15.66 percent C. 13.94 percent D. 8.65 percent ANYONE GOOD AT HISTORY!? marking brainliest!!!!!! given m/n find the value of x if (x-3) and if (8x +3 ) plz help quick. the sum of two numbers is 11. Three times the first number minus the second number is -3. what are the numbers? can i plz have work too? Carla Vista Clinic purchases land for $480000 cash. The clinic assumes $4200 in property taxes due on the land. The title and attorney fees totaled $3200. The clinic had the land graded for $8100. What amount does Carla Vista Clinic record as the cost for the land?A. $476200 B. $470000. C. $484500 D. $478300. Solve for91917None of the aboveOther: 9. Doctors tested a patient to find out what molecules were in her cells. Her cells contained normal levels of oxygen molecules, low levels of amino acid molecules, and low levels of glucose molecules. Will this patient be able to exercise normally? a Yes, as long as her cells have enough oxygen, her body will be able to exercise. b) No, her cells need glucose to react with oxygen to release gh energy to exercise. No, her cells need amino acids to react with oxygen to release enough energy to exercise. d. No, her cells need glucose to react with amino acids to release enough energy to exercise. (PLS HELP!! ILL GIVE BRAINLIEST AND EXTRA POINTS!! IT MAY SEEM LONG BUT ITS REALLY NOT)Read the passage:Major cities all over the world are changing color. The tall buildings that make up the landscape of these urban environments are becoming greener. People are trying to help the environment and have found that green roofs are one way to do so. By planting grass and small shrubbery on the tops of buildings, the environment is getting a helping hand.It is more expensive to build a green roof than it is to lay asphalt or shingles on a roof, but the trend is growing. The basic green roof requires a frame, waterproof membrane, gravel for drainage, fibrous material to retain moisture, soil for planting, and a barrier that prevents roots from penetrating the building.Green roofs started in Europe and are now gaining a strong foothold in the United States. The largest green roof in New York City is built on the roof of a processing and distribution facility. It is actually the biggest green roof in the country. Being in New York, it has faced snow, rain, freezing, and thawing. It has survived it all.The city of Chicago, Illinois, now has more green roofs than any other U.S. city. There are 7 million square feet of green roofs planted across the city. Toronto, Canada, is the first city in the western hemisphere to mandate green roofs on all new tall buildings. Green roofs are beneficial, not only to the environment, but also to the cities that build them. A recent study in Toronto suggested that if 75 percent of the flat roofs were greened, the city could save $37 million a year on storm water management and energy bills.What evidence does the author use to support the idea that urban environments are becoming greener?A) Being in New York, it has faced snow, rain, freezing, and thawing. It has survived it all.B) The largest green roof in New York City is built on the roof of a processing and distribution facility.C) It is more expensive to build a green roof than it is to lay asphalt or shingles.D) People are trying to help the environment and have found that green roofs are one way to do so.(Here is an image if needed) : HELP ASAP i will mark you brailiest and give you 25 pointread the story's bellowBoston Tea PartyEyewitness Account:Joshua WyethJoshua Wyeth was only 16 years old when he was a participant in theBoston Tea Party. He reported the details of his adventurous night to a localpastor. This first-hand account was found and published in a book edited byFrancis S. Drake. The full title of the book is Tea Leaves: Being a Collectionof Letters and Documents Relating to the Shipment of Tea to the AmericanColonies in the year 1773, by the East India Tea Company.1 Our numbers were between twenty-eight and thirty. . . . I had but afew hours warning of what was intended to be done. We first talked of[setting fire to] the ships, but feared the fire would [spread] to thetown. We then proposed sinking them, but dropped that [idea]through fear that we should alarm the town before we could [finish.]2 We had [noticed] that very few persons remained on board theships. So, we finally concluded that we could take possession of them,and discharge the tea into the harbor without danger or opposition.To prevent discovery, we agreed to [dress] to resemble Indians asmuch as possible. [We smeared] our faces with grease and lamp blackor soot, and should not have known each other except by our voices.Our most intimate friends among the spectators had not the leastknowledge of us.3 At the appointed time, we met in an old building at the head of thewharf. We fell in one after another, as if by accident, so as not to excitesuspicion. We placed a sentry at the head of the wharf, another in themiddle, and one on the bow of each ship as we took possession. Weboarded the ship moored by the wharf1. Our leader, in a very stern andresolute2 manner, ordered the captain and crew to open the hatchways.[He ordered them to] hand us the hoisting tackle and ropes, assuringthem that no harm was intended them. The captain asked what weintended to do. Our leader told him that wewere going to unload the tea, and ordered himand the crew below. They instantly obeyed.4 Some of our number then jumped into thehold, and passed the chests to the tackle. Asthey were hauled on deck, others knockedthem open with axes. Others raised them tothe railing and discharged their contentsoverboard. All who were not needed fordischarging this ship went on board theothers, [tied] them to the wharf, where thesame ceremonies were repeated. We weremerry, in an undertone, at the idea of makingso large a cup of tea for the fishes. [But we]were as still as the nature of the case wouldadmit, using no more words than wereabsolutely necessary. We [moved quickly]from the moment we left our dressing-room.I never worked harder in my life.Boston Tea Party Eyewitness Account:John Andrews1 Inhabitants: people who live in a certain area2 Infernal: awful; related to the mythical world of the dead3 They say the actors were Indians from Narragansett. To [an] observerthey appeared as such, being clothed in blankets, with their heads[covered], and copper-colored [faces]. They were each armed with ahatchet or axe, or pair of pistols, [and] their jargon3 was unintelligible toall but themselves. Not the least insult was offered to any person save oneCaptain Connor. [He] had [ripped] up the lining of his coat and waistcoatunder the arms, and . . . had nearly filled them with tea. [Whendiscovered, he] was handled pretty roughly. They not only stripped himof his clothes, but gave him a coat of mud, with a severe bruising into thebargain. Nothing but their utter aversion4 to making any disturbanceprevented his being tarred and feathered.question's Account byJoshua WyethAccount byJohn AndrewsBothAccounts7. Describes the crowd in themeeting house 8. Describe what the participantslooked like 9. Describes what happened to thechests of tea. 10. Explains why Captain Connor wastreated roughly. 11. Explains that the men disguisedthemselves as Indians. 12. Describes what it was like toparticipate in the Boston Tea Party. brainiest....Make up a humorous conservation law. During the Renaissance, how did trade promote new ideas and learning?III 3(a). Diagram 3 shows some processes that involve the changes in thestate of matter. Choose the processes that release heat.* (80i) (80 + 101) =Express your answer in the form (a + bi). What is the circumference of a circlewith radius 64 inches? Write your answerusing PI. Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a gallon of oil next May? Round your answer to the nearest hundredth. determine whether the relation is a function