A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?

Answers

Answer 1

Answer:

Step-by-step explanation:

A Cruise Ship Is Traveling Northwest So That It Makes A 45-degree Angle With The East-west Line. If It
Answer 2

Answer:

  (17.5√2 miles west, 17.5√2 miles north)

Step-by-step explanation:

The distance in the west direction will be ...

  35cos(45°) = 17.5√2 . . . . miles west

The distance in the north direction will be ...

  35sin(45°) = 17.5√2 . . . . miles north

The vector components are ...

  (17.5√2 miles west, 17.5√2 miles north)

_____

Additional comment

When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...

  (-24.7, 24.7) miles


Related Questions

Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalent decimal for the fraction of friends that prefer trail mix? Drag and drop the correct number to the box. 1/6 0.16 or 6

Answers

Answer:

hlp

Step-by-step explanation:

hlp

Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from ground to a final position of −10 feet. Which statement best describes the final positions of these two elevators? (5 points)

Question 4 options:

1)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below the position of Elevator 1.

2)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above the position of Elevator 1.

3)

Elevator 1 is 13 feet below ground level, and Elevator 2 is 10 feet above ground level.

4)

Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

Answers

Answer:

Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1. We are given that Elevator 1 is "+12 feet" and Elevator 2 is "-15 feet" meaning 15 feet below that of Elevator 1 (because they said it was where it was at Elevator 1 ground level prior), so this should be your answer "A".

Step-by-step explanation:

1 a

Select the correct answer.
Simplify the following expression.

Answers

Answer:

B. 1/3

Step-by-step explanation:

This question is designed to show if you know the exponent rules. Exponent Rules are short cuts. If you are multiplying two terms and they both have the same base (the big bottom number), then you could ADD the exponents (the small font raised numbers) Here the base is 3 in both terms. We keep that base. Then add 2/5 and -7/5 to get -5/5. This is just -1.

Another Exponent Rule is how to use negative exponents. So far we have 3^-1 (that means three to the negative one power)

In order to make that negative exponent positive, you just move it across the fraction bar. So we would lower it below the fraction bar to make it a positive one exponent. So you end up with 1/3

-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.

Answers

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

the first person to get this right earns breainlesit!!!!!!!!
witch expressions are evculient to 4b?

Answers

Answer:

B,C,D,F, those are yhe right answer

Approximately what portion of the circle is shaded blue?

Answers

Answer: C. (1/6)

Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.

B(14, 12)
A(-5,-2)
A. Find the midpoint of Segment AB

Answers

the midpoint formula is (x1+x2/2, y1+y2/2
so you would do (-5+14)/2=4.5. (-2+12)/2=5
(4.5, 5)

Simplify the expression. Write your answer as an improper fraction.
-2/3x divided by (-4/9)

Answers

Answer:

3/2x

Step-by-step explanation:

2

3

x

4

9

=

3

2

x

The diagram shows the distance between my home, H. and two towns, A and B.

It also shows information about journey times.

What is the average speed of the journey from my home to town A?

Answers

I do not know English :33333

Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book

Answers

Answer:

Step-by-step explanation:

Let P be the number of pages

First day reads P/9 pages

Second day reads 24 pages

two days reading is P/5  (1 page read for every 4 pages left)

         P/9 + 24 = P/5

        P + 24(9) = 9P/5

  5P + 24(9)(5) = 9P

               1080 = 4P

                     P = 270 pages

There are 270 pages in this book.

Given that,

Emily reads a storybook the first day,

She reads 1/9 of the whole book, and on the second day, she reads 24 pages.

The ratio of the number of pages read to the remaining pages in the two days is 1:4.

We have to find

How many pages are there in this book?

According to the question,

Let, P is the number of pages,

The first day Emily reads p/9 pages of the whole book,

And the second day she read 24 pages.

The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.

Therefore,

The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days

[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]

Hence, there are 270 pages in this book.

For more details refer to the link given below.

https://brainly.com/question/14505922

plzzz what is the difference between the 15th square number and the 7th square number​

Answers

Answer:

176

Step-by-step explanation:

15² - 7² = (15+7)*(15-7) = 22*8 = 176

check: 225 - 49 = 176

Can somebody, anybody please helppp
Simplifiy the expression.
x^2 + 3x - 28/ x^2 - 7x + 12
show your work! (this part is REALLY important) thanks(:

Answers

Answer:

Step-by-step explanation:

3x3 then 4 x v ?

Question 3 help pls

Answers

Answer:

< greater than

Step-by-step explanation:

u need to turn each one into decimals than find out which ones greater that's how you'll get your answer

Answer: The answer would be D

A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
return trip took 4 hours less than the trip to Frankfurt because of the 50 km/hr wind over the ocean on the return trip. Assume there was no wind on the trip to Frankfurt. Let x km/hr represent the average speed of the plane in still air.

Answers

We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr

So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:

9900km/2 = 4950km

Now, The speed of the plane in still air is x km/hr

The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.

So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:

(x - 50) km/hr

While in the return trip the wind blows in favor of the plane, in this case, the speed is:

(x + 50)km/hr

Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:

(x - 50)*T = 4950

(x + 50)*(T - 4) = 4950

Where I removed the units so it is easier to read.

If we isolate T in the first equation we get:

T = 4950/(x - 50)

Now we can replace this in the other equation to get:

(x + 50)*(4950/(x - 50)  - 4) = 4950

If we multiply both sides by (x - 50) we get:

(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)

Now we can solve this for x:

(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0

100*4950 - 4*(x^2 - 2500)  = 0

495000 - 4*x^2 + 10000 = 0

505000 = 4*x^2

√(505000/4) = x = 355.3

The average speed of the plane in still air is 355.3 km/hr

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13476446

Solve the following equation 2x-17=-53

Answers

Step-by-step explanation:

2x - 17 = - 53

2x = - 53 + 17

2x = - 36

x = - 36/2

x = - 18

Answer:

x = -18

Step-by-step explanation:

2x - 17 =  -53

    +17 = + 17            Add 17 to both sides

2x       =   -36            

  x = -36 ÷ 2           Divide by 2

   x = -18

A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.

Answers

Answer:

y-9=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-9=2(x-3)

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

Answer:

196515

Step-by-step explanation:

Complete the table of ordered pairs for the linear equation

Answers

Answer:

Step-by-step explanation:

See attachment.

Which quadrilateral is a trapezoid?

Answers

Answer:

Hey mate!

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

pls mark me as brainliest!!

Elsa is selling bracelets at craft shows to raise money for an animal shelter.

She is also accepting additional cash donations. She plans to give 75% of the

money from all bracelet sales and donations to the shelter. She will use the

remaining money to buy more supplies. Bracelet sales and donations from

the first craft show are represented by the expression 24n + 32, where n

represents the amount Elsa charges for each bracelet. The second craft

show sales and donations is represented by the expression 40n + 56. If Elsa

charges $4 for each bracelet, how much money will she donate to the

Answers

Answer:

$258

Step-by-step explanation:

75% = 0.75 when we divide by 100 to convert a percentage to a decimal

75% of total sales = money donated

Total sales = sales from first show + sales from second show

                  = 24n+32 + (40n+56)

                  = 64n + 88

0.75 of (64n+88) = money donated

                            = 0.75 * (64n+88)

                            = 48n + 66

substitute 4 for n, as she charges $4 for each bracelet

money donated = 48*4 + 66 = 258

9
11 (a) Grapes cost £2 per kilogram.
Calculate the cost of 380g of grapes.

Answers

Answer:

£0.76

Step-by-step explanation:

1kilogram = 1000grams

1000g of grapes costs £2

380g costs = (380 × 2)/ 1000

760/1000 = £0.76

PLS HELP BEST ANSWER=BRAINLIEST

3a² - ac + 2c - 6a/ 3a - c = a - 2

i have been looking everywhere but i cannot find the steps on how to simplify/solve this
PLS SHOW STEPS

Answers

Answer:

a-2=a-2

Step-by-step explanation:

Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.

Answer:

Step-by-step explanation:

Parentheses are missing in your problem statement if you intend to simplify ...

  [tex]\dfrac{3a^2-ac+2c-6a}{3a-c}\\\\=\dfrac{a(3a-c) -2(3a-c)}{3a-c}\qquad\text{factor pairs of terms}\\\\=\dfrac{(a-2)(3a-c)}{(3a-c)}\\\\=\boxed{a-2}\qquad\text{cancel common factors}[/tex]

The "steps" are ...

factor numerator (and denominator, if necessary)cancel common factors

integrate (1-x³)² with respect to x​

Answers

Answer:

Start off by expanding the square:

x^6 -2x³ + 1.

Now, we can integrate it in dx:

∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.

That's the result!

[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]

[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]

[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]

[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]

Evaluate the expression when c=4. c^4 + 6

Answers

Answer:

262

Step-by-step explanation:

4x4x4x4+6

256+6

262

Is 6.32332333... a rational or irrational number? a Choose the correct answer below. O rational number O irrational number​

Answers

Answer:

Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 Seconds.

Step-by-step explanation:

The answer is 217 seconds because 60x3+37=217.

?/5 =8/10 type the missing number that makes this fraction equal

Answers

Answer:

[tex]?=4[/tex]

Step-by-step explanation:

[tex]\frac{?}{5}=\frac{8}{10}[/tex]

[tex]\frac{2?}{10}=\frac{8}{10}[/tex]

[tex]2?=8[/tex]

[tex]?=4[/tex]

Helppp it’s due today

Answers

Answer:

128

Step-by-step explanation:

128!!!! mhm mhm mhm mhm mhm

The answer to this question?

Answers

Answer:

1. 59  2.90  4.31   3. Sorry I dunno

Step-by-step explanation:

1. the 59 degrees is the same.

2. It's a perfect angle

3. Sorry

4.180-90-59=31

a) Complete the table of values for y = 6 - 2x
0
1
2
3
Х
4
5
OT
10
-4
y
8
6
co
b) Draw the graph of y = 6 - 2x
on the grid.
4
2.
c) Solve 6 - 2x = 3

Answers

Step-by-step explanation:

the answer as shown in the photo

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