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

Use the fundamental identities to
Find tan s if sin s=3/4 and s is in quadrant 2

Answers

Answer:

Cosine Formula

Thus, the cosine of angle α in a right triangle is equal to the adjacent side's length divided by the hypotenuse. To solve cos, simply enter the length of the adjacent and hypotenuse and solve.

Kelly base 3328 cookies each year she bakes twice as many cookies in October then in the other much how many cookies does Kelly back in December

Answers

256 Cookies
There are 12 months and twice the amount of cookies in one month is equal to an extra month. So do 3328/13=256.

20points
Which represents the restrictions on the radical inequality

Answers

The second i think you did good

Answer:

The answer is 2x>0 is the final answer. The last one.

Step-by-step explanation:

It is greater.

hlep me pls daddddddddddddddddddddddddddddddddy

Answers

Answer:

The equation would be 2(n+3)-6. So A.

Step-by-step explanation:

It is asking you to subtract first and you cannot do that without  parentheses.

Answer:

First ONE

Step-by-step explanation:

First you are adding 3

n+3

then you mulitply by 2

so, its 2(n+3), you have to put in bracket because you want to do addition first

then you subtract everything by 6

its 2(n+3)-6

A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
O D. 11
TO

Answers

The answer is D, 11.

I have a red, blue, green, and yellow ball. If I put them all in a bag and pick one ball at a time (putting it back each time), what chance do I have of never picking a red ball, assuming I pick a color 40 times. Write as a decimal/percentage. (20 points! A good answer would be appreciated)

Answers

Answer:

Step-by-step explanation:

You have four balls

A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball

You have a 3 in 4 chance of not drawing a red ball on the first  draw.

With replacement, the 3 in 4 chance occurs on every draw

the odds multiply together for each draw.

Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰

or about 1 in 10⁻⁵ or 0.00001

Help help help math math

Answers

Answer:

y=-1/2x-3

Step-by-step explanation:

Let's pick two points for slope.

[tex]\frac{-1+3}{-4-0}[/tex]

[tex]\frac{2}{-4}[/tex]

For the y-inctercept, the line intersect at the y-axis at (0,-3)

CHECK:

[tex]y=-\frac{1}{2} (-4)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Find the value for x ​
(x+20) (4x-5)

Answers

Answer:

I think it x=33

Step-by-step explanation:

[tex]x+20+4x-5=180\\5x+15=180\\-15 -15\\5x = 165\\/5 /5\\x = 33[/tex]

The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students. Who are the individuals in this data set?


- Students

- School counselors

- Homeroom teachers


What does this data set contain?


- 2 variables, 1 of which is quantitative

- 2 variables, 2 of which are quantitative

- 5 variables, 1 of which is quantitative

- 5 variables, 3 of which are quantitative

Answers

Answer:

The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.

Step-by-step explanation:

Individuals are the people or things described by a data set.

Variables are characteristics of the individuals that we measure or observe.

Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables.

The individuals described by this data set are students.

The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counselors.

One of the variables--absences--is quantitative.

The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.

What is a dataset?

A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data.

Individuals are the people or things described by a data set.Variables are characteristics of the individuals that we measure or observe.

Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables. The individuals described by this data set are students.

The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counsellors. One of the variables--absences--is quantitative.

Therefore the individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.

To know more about datasets follow

https://brainly.com/question/251701

#SPJ2

Help me(((((((please

Answers

Answer:

I do not know English

Step-by-step explanation:

<3333

I'm giving out a lot of points for this one!

Answers

Answer:

Step-by-step explanation:

AVERAGE rate of change looks only at the endpoints

m = Δy/Δx

m = (1.2 x 10⁶ - 0.35 x 10⁶) / (2640 - 1955)

m = 0.35 x 10⁶/ 685

m = 1241  beings / year

Today, both the soccer team and the basketball tear
had games. The soccer team plays every 3 days and the
basketball team plays every 5 days. When will both
teams have games on the same day again?


SHOW YOUR WORK PLEASE

Answers

On the 15th day

Explanation

You have to find which multiple they have the same and that would be 15

3: 3, 6, 9, 12, 15, 18, 21 and so on
5: 5, 10, 15, 20, 25 and so on

Answer:3 to 5

Step-by-step explanation:i took the quiz

Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2

C.-5+ √33
———-
2
D. 5+ √17
———-
2

Answers

x^2 + 5x = -2

x^2 + 5x + 2 = 0

We need to use the quadratic formula.

In the formula, a = 1, b = 5 and c = 2.

See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.

Use polynomial identities to multiply (5 - 4x3)(5 + 4x3). What identity did you use?

A. Difference of cubes identity
B. Difference of squares identity
C. Binomial Theorem
D. Square of a sum identity

Answers

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]

For shipping the retailer charges a $4.95 flat fee or 5.75% of the total purchase, whichever is greater. If Lucia's total purchase is $78.99, how much shipping will she pay? PLEASE ANSWER ASAP

Answers

ANSWER: $4.95

EXPLANATION:

So it’s asking us to find out if $4.95 dollars is more than 5.75% of 78.99.

So we need to find 5,75% of 78.99

To find percentage turn the percent into a decimal.

5.75% become 0.575

Now we have 0.575 x 78.99

That is 45.41925

Move the decimal over again and you get 4.541925

Round to the nearest hundredth to get

$4.54

$4.54 < $4.95

So the answer is &4.95

How can you solve problems involving percents?

Answers

Step-by-step explanation:

To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.

Answer:

Base = Amount, and solve for the unknown numbers.Step-by-step explanation:

Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

Alistar is going to build fence around the outside of his garden

a) draw an accurate scale drawing of the garden using a ruler and compasses.use scale 1 cm to 2m

b) how long the fence be?

Answers

Answer:

32+[tex]\sqrt{200}[/tex]

Step-by-step explanation:

First - one side is 10m and other one is 16, so adding this 26m

Second-hypotenuse is sqrt of 10*10+10*10.

Third-  Remainder is 16-10 because  that is isosceles triangular.

Image attached giving 25 points please help

Answers

Answer:

Rational

Step-by-step explanation:

It isnt whole because its a decimal,

It isnt an Integer because its a decimal

It isnt natural because its a decimal

Meaning it can only be rational

24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3

Answers

x=-1

3x-2x+8=10x+20-3

x+8=10x+17

-9x=9

x=-1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]

[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]

[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]

[tex]\mathrm{Combine\: like\: terms}[/tex]

[tex]x+8=5\left(2x+4\right)-3[/tex]

[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]

[tex]x+8=10x+17[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]x+8-8=10x+17-8[/tex]

[tex]x=10x+9[/tex]

[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-10x=10x+9-10x[/tex]

[tex]-9x=9[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]

[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]

[tex]\bold{x=-1}[/tex]

Solve for the unknown values.
95x
50y
X=
degrees
y =
degrees

Answers

Answer:

x=85 degrees, y=45 degrees

Step-by-step explanation:

solve for x first:

because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.

x+95=180 so solving for x would result in x=85 degrees (180-95)

then to solve for y:

the total sum of the interior angles of a triangle is 180 degrees.

so if you know x and the given 50, then to solve for y:

50+85(angle x)+y=180

then solve for y to get 45 degrees (180-(50+85))

hlep me it is easy plssssssssssssss

Answers

Answer:

C. (10 - 2) ÷ 4

Step-by-step explanation:

To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:

Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.

Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.

So, since the only option that raises a division is option C, that's the correct option.

) f(x) = 4x + 5, g(x) = 2/x;
Find (g • f)(3).

Answers

[tex]\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}[/tex]

Answer:

The answer is 2/17

Step-by-step explanation: Can I get brainliest again my answer was deletedee

A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing: P(milk)

Answers

Answer:

5/9

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

B is the answer as when you draw angle bisector you draw arcs that intersect at the bisector

in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in feet?

Answers

Answer:

8 feet

Step-by-step explanation:

it actually will be 8 feet

A tiled floor measures 1 ⅔ by 2 ⅔ feet. What is the area of the floor?

Answers

let's firstly convert the mixed fractions to improper fractions and then multiply.

[tex]\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}[/tex]

(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?

Answers

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

For f(x) = 2(6)*, find y when x=2.
f(2)=

Answers

Answer:

I believe it is f(2) = 12

Step-by-step explanation:

I don't know if the * symbol is supposed to be an x but if it is, it would be 12x instead of 12.

Find the height of the trapezoid.
7 m
Area = 51 m2
10 m

Answers

The answer is 6

h = 2 A/a+b = 2 51/10+7 = 6

9. Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at
(1 point)
(1 4). (4.5), and (2.0).
A 3.7). (7.8). (5.3)
B 3.4) (12,5), (6,0)
C 3.12). (12.15) (6.0)
D (112) (4.15) (2.0)

Answers

The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)

Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).

Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Learn more on dilation here: https://brainly.com/question/10253650

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Then, fill out the chart based on your listening. Repeat the process for the second musical selection.Download this chart to analyze each piece of music:RTF (Edit) PDF (Print)After you have listened to each music selection and filled out the listening chart for each, its time to do some comparing and contrasting.Write a one- to three-paragraph essay that compares and contrasts the two pieces of music that you listened to. If you need some help with what specific things to compare/contrast, refer to the listening charts that you filled out or the questions below:How do the two musical pieces differ?How are the two musical pieces similar?Were the instruments featured in the two pieces different from each other?What differences or similarities were there in tempo, or speed, of the music?Were there any differences in what you were imagining as you listened to each piece? Did you hear a story in either piece? 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