A ship is 2.2° off course. If the ship is traveling at 18.0 miles per hour, how far off course will it be after 5 hours?

Answers

Answer 1
___x____
\             |
  \           |
     \        |   y
 18  \      |
         \    |
           \ *|---2.2 °

This is a vector problem. The distance of drift is in x (horizontal axis). 
remember that Sin Ф=opposite/hypotenuse. x represents the opposite side form the angle, and 18 is the hypotenuse.
Sin 2.2°=x/18
18 sin 2.2°=x
.691 ≈x

The ship drifts off course .691 miles every hour. .691 x 5 = 5.69 miles after 5 hours.



Answer 2

Final answer:

To determine how far off course a ship will be after 5 hours traveling at 18.0 mph and being 2.2° off course, use the formula: Distance off course = 18.0 mph x 5 hours x sin(2.2°). This results in the ship being approximately 3.45 miles off course after 5 hours.

Explanation:

To calculate how far off course the ship will be after 5 hours, we first need to find the distance the ship travels while off course.

Distance off course = 18.0 mph x 5 hours x sin(2.2°).

Distance off course ≈ 3.45 miles.


Related Questions

What is the value of the 8 in 381,697?

Answers

Ten thousands is the answer.
The answer is

"10.000"

Hope this helps, Pal

Adam travels 248 miles on Monday and 167 miles on Tuesday. Estimate the total number of miles Adam travels

Answers

The answer is 400 or 410 if you add them up you get 415 so hope this helps

Answer:

Adam travels total 415 miles.

Step-by-step explanation:

The distance Adam travels on Monday = 248 miles

The distance Adam travels on Tuesday = 167 miles

We have to calculate the total number of miles Adam travels.

Total number of miles Adam travels = distance traveled on Monday + distance  traveled on Tuesday

                                                           = 248 + 167

                                                           = 415 miles

Adam travels total 415 miles.

Unit rate for 490 in 3 1/2 hour

Answers

490 / 3.5 = 140 per hr
Unit rate is no. i.e 490 divided by time i.e (3 1/2 hr or 3.5 hr).
ans. is (490/3.5) = 140.

I need help with (b) plz help me

Answers

he would need to work at least five hours

what is the difference between the commutative distributive and associative properties when multiplying?

Answers

The associative rule is a rule about when it's safe to move parentheses around. You can remember that because the parentheses determine which expressions you have to do first--which numbers can associate with each other. It looks like this:

For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)

The commutative property is about which operations you can do backward and forward. You can remember this by thinking of people commuting to work: they go to work every morning, then they repeat the same operation backward when they commute home. It looks like this:

For addition: a + b = b + a
For multiplication: ab = ba

Finally, the distributive property tells you what happens when you distribute one operation against another kind in parentheses. It looks like this:

a * (b + c) = ab + ac

In other words, the a is "distributed" over the b and c.

Of course, you can make these work together:

a * (b + (c + d))
= a * ((b + c) + d) (by the associative property)
= a * (d + (b + c)) (by the commutative property)
= ad + a (b + c) (by the distributive property)
= ad + ab + ac (by the distributive property again).

Hope this helps.
Commutative Property. The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2.

65.5kg take away 3500 grams

Answers

62 kilograms hope it helped

Considering the one time deposit and monthly rent, the equation y=1200 + 400x can be used to represent y

Answers

The 1200 is considered the security deposit, in this example. The "400x" is the monthly rent. The value of "y" would be the overall cost of using the building after any number of months "y". An example would be that, after 2 months, the total cost would be $2,000 (1200 + 400[2] or 1200 + 800)/

Answer: $1200

Step-by-step explanation:

Solve the equation for y. Leave your answer in terms of π.

π=7x−2y

Answers

7x = π + 2y
7x - π =2y
y = (7x - π) / 2

Answer:

The value of the equation for y is [tex]y=\frac{-\pi+7x}{2}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex] \pi=7x-2y[/tex]  

We need to solve the equation for y.

Subtract 7x to both sides of the equation.

[tex] \pi-7x=7x-7x-2y[/tex]  

[tex] \pi-7x=-2y[/tex]

Divide both the sides by -2.

[tex] \frac{\pi-7x}{-2}=\frac{-2y}{-2}[/tex]

[tex]y= \frac{\pi-7x}{-2}[/tex]  

[tex]y=\frac{-\pi+7x}{2}[/tex]  

Hence, the value of the equation for y is [tex]y=\frac{-\pi+7x}{2}[/tex].

the sum of two numbers is 90. if 20 is added to 3 times the smaller number, the result exceeds twice the larger by 50. find the number.

Answers

x+y=90
x=smaller number
y=larger number
2y+50= 20+3x (if 20 is added to 3 times the smaller number, the result exceeds twice the larger by 50. find the number.)
x=90-y (isolate x, so you can substitute)
2y+50=20+3(90-y) - (substitution)
2y+50=20+270-3y   ( distributive property)
5y+50=20+270 ( add 3y to both sides)
5y+50=290 ( added 20+270)
5y=240 ( subtract 50 from both sides)
y=48 ( divide both sides by 5)




After setting up a system of equations and solving them simultaneously, the two numbers are found to be 42 and 48.

To find the two numbers where the sum is 90 and where 20 added to three times the smaller number exceeds twice the larger number by 50, we can set up a system of equations. Let x be the smaller number and y be the larger number. The first equation based on the sum of the numbers will be:

x + y = 90

The second equation derived from the condition involving multiplication and addition will be:

3x + 20 = 2y + 50

Solving these two equations simultaneously, we start by rearranging the first equation to find y:

y = 90 - x

Next, we substitute this expression for y into the second equation:

3x + 20 = 2(90 - x) + 50

Simplify and solve for x:

3x + 20 = 180 - 2x + 50

5x = 210

x = 42

Now substitute x back into the equation for y:

y = 90 - 42

y = 48

The two numbers are 42 and 48.

Explain how to determine whether to move right or left on a number line when adding rational numbers

Answers

if you are adding a negative number you move to the left because that's where negative numbers are, and if its positive you move to the right for example:                                                                                                                                                          -4 + 7                                                                                                                          You moves 7 spots to the right since 7 is positive and the result is 3                                                                                                                              
4 + -5
You move to the left because 5 is negative and the result is -1


tukarkan 0.8 juta kepada nombor bulat

Answers

gerak titik dia lgi senang so ni cara dia

which of the following best represents the average rate at which infants can grow in height during the first four years after birth.

*3 inches per month

*3 inches per year

*3 feet per month

*3 feet per year

Answers

The answer is 3 inches per month.

I'm pretty sure that the answer is three inches PER YEAR because think, there is 12 months in a year so if he grows 3 inches per month for 4 year he/she would be taller than an 8 year old, so per year makes more sense.

the environmental club is having a trash pick up day.there are 130 people signed up to help.for trash pickup day,they will work in groups of 4.no more than 4 people can join a group.how many groups are there?explain how you interpreted the remainder

Answers

130/4 = 32 R 2
There are 32 full groups and another group that is not full.
There are 33 groups.

pi is an irrational number. could pi = 22/7? why or why not?

Answers

No, it can't.

Irrational numbers are numbers that cannot be expressed as fractions.

So therefore, Pi cannot equal 22/7.
Pic cannot equal 22/7

What is the best estimate of (-3/5)(17 5/6)

Answers

What grade is this. So you do -3/5 times 17 5/6 which is -10.7

[tex]\text{Hey there!}[/tex]

[tex]17\dfrac{5}{6}=17\times6 + 5 =17\times6 \rightarrow102+5 = 107\\\\\text{107  would be your numerator \& 6 would be your denominator.}[/tex]

[tex]17\dfrac{5}{6} = \dfrac{107}{6}[/tex]

[tex]-\dfrac{3}{5}\times\dfrac{107}{6}\\\\5 + 6 = 10\\\\\text{Your new equation is: }\dfrac{-107}{10}\text{Which the mixed number fraction is: }-10\dfrac{7}{10}[/tex]

[tex]\boxed{\boxed{\bf{Answer(s): -10\dfrac{7}{10} \ or \dfrac{-107}{10}}}}\checkmark\\\\\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]

Why is 39 rational ????????????????????

Answers

39 is rational because it can be turned into a fraction....39/1
All whole numbers are rational
It is rational because it can be turned into a fraction.

you begin with $25 in a savings account and $50 in the checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? write and solve an equation.

Answers

Let [tex]s_n[/tex] represent the amount is saving account after n weeks, and  

let [tex]c_n[/tex] represent the amount is checking account after n weeks.


so:

[tex]s_0=25\\\\s_1=25+5\\\\s_2=25+5+5\\\\s_3=25+5+5+5\\\\.\\\\.s_n=25+5n[/tex]

and 

[tex]c_0=50\\\\c_1=50+10\\\\c_2=50+10+10\\\\c_3=50+10+10+10\\\\.\\\\.c_n=50+10n[/tex]


thus to find

"the amount in checking twice the amount in savings"
 
we solve the equation:

50+10x=2(25+5x),

50+10x=50+10x

this is true for any x (any number of weeks)


Answer: the amount in checking is twice the amount in savings ALWAYS



Seven less than one-third of a number is 5

Answers

22 would be the answer. You reverse the equation so you multiply 3 and add 7   5x3 = 15  15+7= 22
If you need to write it algebraic then it would be 1/3x-7=5 in the end your answer would be 36

162 water bottles in 9 cases =

Answers

I believe u would divide, 162 divided by 9= 18

For his off-road bike, Jackson measures that he needs a brake cable 24 1/8 in. long. The parts catalog shows cables in decimal measurements. Which cable length should he order?

A. 24.125 in.

B. 24.275 in.

C. 24.375 in.

D. 24.775 in.

Answers

.125 * 8 = 1

A is the answer.

Answer:

its A

Step-by-step explanation:

Tanner collected 360 cans and cans and bottles while fundraising for his baseball team this was 40% of what Reggie collected how many cans and bottles did Reggie collect

Answers

360÷0.40 =144

360 +144 = 504

Final answer:

To find how many cans and bottles Reggie collected, we consider the 360 cans and bottles Tanner collected as 40% of Reggie's collection. After setting up an equation and solving it, we determine that Reggie collected a total of 900 cans and bottles.

Explanation:

Tanner collected 360 cans and bottles, which was 40% of what Reggie collected. To find out how many cans and bottles Reggie collected, we'll use the concept of percentage. Since 40% equals 0.40 in decimal form, we can represent the total number Reggie collected as 100%, which is 1 when converted to decimal form.

Therefore, if Tanner collected 360 cans and bottles and this is 40% of Reggie's amount, we can set up the equation:

360 = 0.40 × (Total number of cans and bottles Reggie collected)

To solve for the total number, we divide both sides of the equation by 0.40:

Total number of cans and bottles Reggie collected = 360 ÷ 0.40

After the division, we find that:

Total number of cans and bottles Reggie collected = 900

Which of these are NOT examples of the four essential parts of natural selection? Question 2 options: A One offspring of an organism has green fur, and the other has blue fur. This variation in fur color is passed down to their offspring as well. B All offspring of lions will always survive because Earth can always support new organisms. C Cats’ sharp teeth helped them to consume other organisms and survive in their environment. D Jaguars with large jaws made it easier for them to eat certain animals and survive long enough to reproduce.

Answers

I think the answer is B......

simplify 8(7-1)+4(x+5).

Answers

8 (6) + 4x + 20

48 + 4x +20

68 + 4x is your answer

hope this helps

Tom performed a total of 100 hours of community service. He served at three charities- Salvation Army, Red Cross and Rescue Missiom. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross

Answers

Let x, y, z be the number of hours that Tom spent in service in Salvation Army, Red Cross, and Rescue Mission, respectively. From the statement above, the sum of the numbers should be 100. 
           x + y + z = 100

The equations that can be derived from the given and the assigned variables,
    y = x + 19
    z = y + 8

Expressing the times in terms of variable x,
   y = x + 19
   z = (x + 19) + 8 = x + 27

Solving for the value of x,
              x + (x + 19) + (x + 27) = 100

The value of x from the equation is 18. 

   y = 18 + 19 = 37
   z = 18 + 27 = 45

The number of hours he spent in three charities are 18, 37, and 45, respectively. 

Tom volunteered 18 hours at the Salvation Army, 37 hours at the Red Cross, and 45 hours at the Rescue Mission.

Let S represent the number of hours Tom served at the Salvation Army.

The number of hours at the Red Cross is 19 hours more than at the Salvation Army,
R = S + 19.The number of hours at the Rescue Mission is 8 hours more than what he served at the Red Cross,
M = R + 8.

Since the total number of hours Tom served is 100, we have,

S + R + M = 100

Substitute R and M with the expressions in terms of S:

S + (S + 19) + (S + 19 + 8) = 100

S + S + 19 + S + 27 = 100
3S + 46 = 100
3S = 54
S = 18

So, Tom served 18 hours at the Salvation Army. Now, we find the hours for the other two charities,

R = S + 19
= 18 + 19
= 37 hours at the Red Cross.M = R + 8
= 37 + 8
= 45 hours at the Rescue Mission.

In summary, Tom volunteered 18 hours at the Salvation Army, 37 hours at the Red Cross, and 45 hours at the Rescue Mission.

Complete question-
Tom performed a total of 100 hours of community service. He served at three charities – Salvation Army, Red Cross and Rescue Mission. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross. Find the number of hours he volunteered at each charity.

Jed made 2 free throws in 5 second how many would he make in one minute

Answers

12 free throws per minute
60 because 12x5=60 I hope I helped oh and multiply the 60x2 btw

The average length of a ladybug can range from 0.08 to 0.4 inch. Find two lengths that are within the given span.

Answers

0.078 inch and 0.067 inch

Two lengths within the average range for a ladybug could be 0.2 inches and 0.35 inches, both of which are between the minimum of 0.08 inches and the maximum of 0.4 inches.

The average length of a ladybug can range from 0.08 to 0.4 inch. To find two lengths that are within the given span, we can select any two numbers that fall between these two values. For instance:

The first length could be 0.2 inches, which is exactly in the middle of the range.The second length could be 0.35 inches, which is closer to the upper end of the range but still within the given span.

These lengths are examples of measurements that would fall within the typical size range of a ladybug.

THANKS IN ADVANCE!

Jenna multiplied four numbers together and then divided by -2. The result was a positive value.

Which of the following statements MUST be true?

None of the factors were negative.
All of the factors were negative.
An odd number of factors were negative.
An even number of factors were negative.

Answers

(1)negative x (2)negative = positive x (3)negative = negative x (4)positive = negative

negative divided by negative = positive


odd number were negative


teresa earns $6.25 per hour. Calculate he wage for the week where she works the following number of hours:

Answers

You first need the number of hours worked

PLEZ HELP I NEED HELP BADLYYY!!!
Homer and Bart plan to buy one computer for $499.00 strictly for gaming purposes games cost $49.99 each

PART A ... Define each variable and write an algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games

PART B .... if they purchase one computer in five games how much do they spend before sales tax

PART C.... Homer and Bart have friends they want to purchase extra controllers each controller costs $24.99 use an algebraic expression to describe how much they spend in total before tax sales when they purchase one computer any number of games in any number of extra controllers

PART D ... what would be the total cost before sales tax if Homer and Bart purchase one computer for games and three extra controllers

Answers

Alright, we know that we have to spend 499 dollars on a computer as a base cost. Next, we have to buy 49.99 * x dollars worth of games (since games are 49.99 each), adding up to 499+49.99*x

Alright, so plugging 5 in for x, we get 499+49.99*5=744.95

Since one controller is 24.99, the money for buying a y amount of controllers would be 24.99*y., making the expression 499+49.99x+24.99y

Since in part D, there are no games, we plug these in to get 
499+49.99*0++24.99*3=573.97 dollars

A. [tex]\[ T = C + G \times P \][/tex]

B. they will spend $748.95 before sales tax.

C. [tex]\[ T = C + G \times P + K \times R \][/tex]  

D. The total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.

PART A:

Let us define the variables:

- C: Cost of the computer ($499.00)

-  G : Number of games

-  P : Cost of one game ($49.99)

-  T : Total cost before sales tax

The algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games is:

[tex]\[ T = C + G \times P \][/tex]

PART B:

If they purchase one computer and five games, we substitute G = 5  into the expression:

[tex]\[ T = 499 + 5 \times 49.99 \][/tex]

Now, we can calculate:

[tex]\[ T = 499 + 5 \times 49.99 \]\[ T = 499 + 249.95 \]\[ T = 748.95 \][/tex]

So, they will spend $748.95 before sales tax.

PART C:

Let's define an additional variable:

-  K : Number of extra controllers

-  R: Cost of one extra controller ($24.99)

The algebraic expression to describe how much they spend in total before sales tax when they purchase one computer, any number of games, and any number of extra controllers is:

[tex]\[ T = C + G \times P + K \times R \][/tex]

If they purchase one computer, five games, and three extra controllers, we substitute  G = 5  and  K = 3  into the expression:

[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \][/tex]

PART D:

Now, we can calculate:

[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \]\[ T = 499 + 249.95 + 74.97 \]\[ T = 499 + 324.92 \]\[ T = 823.92 \][/tex]

So, the total cost before sales tax if Homer and Bart purchase one computer, five games, and  three extra controllers would be $823.92.

Evelyn evaluated 1 and 6/7 - 3/4. Each statement below is a way for Evelyn to check her answer.

Use the drop down menus to complete each statement.

If the sum of her anwser is 3/4 is 1, Evelyn's answer is A. Too high , B. Too low, C. Correct?

If the sum of her answer and 3/4 is 1 and 6/7 , Evelyn's answer is A. Too high , B. Too low, Or C. Correct?

If her answer is minus 3/4 is 1 and 6/7, Evelyn's answer is A. Too high , B.Too low , C.Correct?

Answers

1 6/7 - 3/4...

if the sum of her answer and 3/4 is 1, evelyn's answer is too low
if the sum of her answer and 3/4 is 1 and 6/7, evelyn's answer is correct
if her answer is -3/4 and 1 and 6/7, her answer is too high

The required solutions are as follows,
(a) Evelyn's answer is Too low, Option B is correct.

(b) Evelyn's answer is correct, and Option C is correct.

(c) Evelyn's answer is Too high, Option A is correct.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
According to the question,
Evelyn evaluated 1 and 6/7 - 3/4 as,
= 1 6/7 - 3/4  and add 3/4 later,
= 1 6/7 -3/4 + 3/4
= 1 6/7

So,
If the sum of her answers is 3/4 is 1,
Evelyn's answer is Too low, Option B is correct.

If the sum of her answer and 3/4 is 1 and 6/7
Evelyn's answer is correct, and Option C is correct.

If her answer is minus 3/4 is 1 and 6/7,
Evelyn's answer is Too high, Option A is correct.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

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