A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is the
ship from its point of departure?

Answers

Answer 1

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

The distance from the point of departure?

The given parameters are:

Distance east = 40 miliesDistance southwards = 70 milesAngle = 12 degrees

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

Read more about distance and bearing at:

https://brainly.com/question/24142612

 A Ship Travels 40 Miles Due East, Then Adjusts Its Course 12 Southward. After Traveling 70 Miles In

Related Questions

I need help with this question for my 8th grade math test
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

Answers

Transforming the points involves changing their coordinates

The image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

How to complete the transformations?

The coordinates of the points are given as:

X(2, 4)

Y(5,-3)

Z(-7, 1)

a) Rotate the points 90 degrees clockwise

The rule of this transformation is:

(x, y) to (y, -x)

So, we have:

X' = (4, -2)

Y' = (-3, -5)

Z' = (1, 7)

b) Dilation by a scaling factor of 2

The rule of this transformation is:

(x, y) to (2x, 2y)

So, we have:

X'' = (8, -4)

Y'' = (-6, -10)

Z'' = (2, 14)

c) Reflect across the x-axis

The rule of this transformation is:

(x, y) to (x, -y)

So, we have:

X''' = (8, 4)

Y''' = (-6, 10)

Z''' = (2, -14)

d) Translation 2 Up and 5 to the Left

The rule of this transformation is:

(x, y) to (x -5, y + 2)

So, we have:

X'''' = (3, 6)

Y'''' = (-11, 12)

Z'''' = (-3, -12)

Hence, the image of the points are:  (3, 6), (-11, 12) and  (-3, -12)

Read more about transformation at:

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ROLLY or AP were should i start???!

Answers

No question please
I don’t think I can help
Sorry

Use the two-way frequency table at the right to find the probability P(7th-grade boy).
(Simplify your answer.)

Answers

Answer:

8/50

Step-by-step explanation:

find the total number of 7th grade boys

put that in the numerator

I'm assuming you're trying to get the probability of picking a 7th grade boy out of all the kids in the soccer camp so 50

I need help with this

Answers

Step-by-step explanation:

Doesn't the line show where the median is? Then it would be class 1

An angle measures 142° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

heath records the number of winners of three ring toss games. According to heaths experiments, what is the probability a player will win the game

Answers

I don’t know ask your teacher

Justine has $13.50 left on her city bus card and each bus ride cost $2.25.what equation can be used to find the number of bus rides he has left

Answers

Answer:

6 rides

Step-by-step explanation:

Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides.  Dividing both sides by $2.25/ride yields 6.

Justin has enough on his bus card for 6 more rides.

The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? O2 square feet 04 square feet O 6 square feet O 8 square feet​

Answers

Answer:

4 square feet

Step-by-step explanation:

hope this helps :)

What is the distance formula

Answers

Thus option C is correct.

[tex]\sf Distance \ between \ points\sf : \ \ \ d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Option C

Let's look up at an example

(3,4)(1,2)

Distance:-

√(3-1)²+(4-2)²√2²+2²√4+4√82√2

help :(

“x is less than -3”

- The inequality translated in numerical form
- The solution in interval notation

Answers

Answer:

-2x

Step-by-step explanation:

x-(-3)

-2x

answer will be -2x ok follow me

-2x is the answer i think

Solve for x and round to nearest tenth for both please and Thankyou:)

Answers

Answer:

For the first picture, 57.14

For the second picture, 27.04

bryson collects data on the depth of a river at various points and the velocity of the river at those points. his data has a correction coefficient of -0.94. which scatterplot represents brysons data ?

Answers

The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.

What is negative correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361

I really need help on this! No download answer scam link

Answers

Answer:

y=x^2 - 8x +8:

(1.8,0) and (6.8)

y=-x^2-4x+7:

(-5.3,0) and (1.3,0)

Step-by-step explanation:

If you go to desmos graphing calculator online, you can type the equation in and click on the zeros.

I have attached the following graphs to show what I did to find them.

7. Are the given functions inverses? Why or why
not?
y = (x - 2)2 + 4
f-1(x) = +Vx – 4 + 2

Answers

Answer:

x=1 it is not inverse

Which list shows the fractions in order from greatest to least? *
pls help i give brainliest



3/6, 2/5, 1/4, 2/5
2/3, 3/6, 1/4, 2/5
1/4, 3/6, 2/5, 2/3
2/3, 3/6, 2/5, 1/4

Answers

Answer:

1/4, 3/6, 2/5, 2/3.........

can you please help me??

Answers

5% = .05 = R
50% = .5 = O
100% = 1 = E
2% = 1/50 = V
55% = .55 = T
20% = 1/5 = N
1% = 1/100 = C

can someone please help me out with these three questions please please please!!!!

Answers

Answer: 4. A 5. C 6. D

Step-by-step explanation: that’s it!!!!!!!!!!

18.
Is the data point, P, an outlier, an influential point, both, or neither?

A. Neither

B. Influential point

C. Outlier

D. Both

Answers

The correct answer should be choice B.

why does this have ads

Answers

Answer:The reason for brainly having ads is because this platform is free, therefore they need ad revenue

Step-by-step explanation:

Answer:

[tex]beinggreat78~here~to~help![/tex]

Brainly has ads to pay for their web page. Most web pages that are free-to-use have ads so that they can afford the bills for their company. However, I would not recommend clicking random ads. If your account is old enough, or you have Brainly Plus, you can go ad-free and gets tons of answers a day!

The cake that Larry is baking requires 1 cup of sugar. Larry is adding sugar to a bowl using a measuring scoop. In the first scoop, he adds 7/8 cup of sugar. In the second scoop, he adds another 7/8 cup of sugar. Has Larry measured the sugar correctly?

Answers

No. He added 14/8 cups, or 1 and 3/4th cup.


The probability of getting a yellow gumball from
a gumball machine is. The probability of getting
a yellow piece of candy from a piñata is. If a
gumball is taken from the gumball machine and a
piece of candy is pulled from the piñata, what is the
probability that both will be yellow?

Answers

probability isn’t given so no one will really be able to answer that

How to solve [tex]2n =\frac{15}{2}[/tex] and [tex]\frac{1}{4} =\frac{n}{5}[/tex] ???

Answers

Answer:

[tex]2n=\dfrac{15}{2}[/tex]

Multiply both sides by 2:

[tex]\implies 2 \cdot 2n=2 \cdot \dfrac{15}{2}[/tex]

[tex]\implies 4n=15[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4n}{4}=\dfrac{15}{4}[/tex]

[tex]\implies n=\dfrac{15}{4}[/tex]

[tex]\dfrac14=\dfrac{n}{5}[/tex]

Multiply both sides by 5:

[tex]\implies 5 \cdot \dfrac14=5 \cdot \dfrac{n}{5}[/tex]

[tex]\implies \dfrac54=n[/tex]

[tex]\implies n=\dfrac54[/tex]

Answer:

Step-by-step explanation:

2n = 15/2

Divide both sides b y 2:

n = 15/2 / 2

   = 15/2 * 1/2

    = 15/4.

1/4 = n / 5

Multiply both sides by the LCM (20):

20/4 = 20n/5

5 = 4n

n = 5/4.

3,900,000 / 2 please help

Answers

Answer: 1,950,000

Step-by-step explanation: Divide by 2 beginning with the first digit which is 3 up to the last zero

Find the slope of the line that is parallel and perpendicular to the following equation.
2x-2y=-6

Answers

Answer:

Parallel lines 1

perpendicular lines -1

Step-by-step explanation:

2x-2y = -6

Solve for y to get it in slope intercept form

-2y = -2x-6

Divide by -2

y = x+3

This is slope intercept form y = mx+b  where m is the slope

Parallel lines have the same slope

A parallel line would have a slope of 1

Perpendicular lines would have a slope that is a negative reciprocal

-1/1

Perpendicular lines would have a slope of -1

Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]

m: slopeb: y-intercept of the function

To put it into that format, we need to simply put y on one side of the equation and the rest on the other side

    [tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]

What do we want to find first ⇒ a line parallel to the original line

a line that is parallel to the original line only has one requirement, it must have the same slope, such as the one below

          [tex]y = x +5[/tex]

What do we also want to find ⇒ a line perpendicular to the original line

a line that is perpendicular to the original line only has one requirement, the slope has to be the negative reciprocal of the original slope

         ⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1

            ⇒ so an example is

                     [tex]y = -x + 3[/tex]

Answer:

Line that is parallel: slope is 1Line that is perpendicular: slope is -1

Hope that helps!

   

       

How many solutions does this
equation have?
3s = 8s -5s
A one solution
C no solution
B two solutions
D infinite

Answers

Answer:

D

Step-by-step explanation:

3s = 8s - 5s

8s = 8s

s = 0, 1, 2, 3.......

so infinite solutions

Answer:

D)

Step-by-step explanation:

Given equation:

[tex]3s = 8s - 5s[/tex]

To simplify this equation, we need to isolate the variables on one side of the equation and the constants on the other side of the equation. To do this, we can simplify the R.H.S as like terms can subtract.

⇒ [tex]3s = 8s - 5s[/tex]

⇒ [tex]3s = s(8 - 5)[/tex]

⇒ [tex]3s = s(3) = 3s[/tex]

⇒ [tex]3s= 3s[/tex]

Since both sides of the equation are the same, this system of equations has infinite solutions.

Check:

We can check our answer by substituting the value of "s" into the equation. As a result, you will see that many values of "s" are satisfying the equation. Thus, Option D is correct.

Round 3.993 to the nearest hundredth
A. 3.90
B. 4
C. 3.9
D. 3.99​

Answers

Answer:

Step-by-step explanation:

3.993,

3.99

Select the correct answer.


an experiment observing the growth of two germ strand populations finds these patterns.


• the population of the first germ is represented by the function a(x) = (1. 3)+9


• the population of the second germ is represented by the function b(t) = (1. 3)45+1


which function best represents function r, the ratio of the population of the second germ to the population of the first germ?

Answers

Answer:

the

• the population of the first germ is represented by the function a(x) = (1. 3)+9

I Need Help! Please!
A local grocery store buys fresh carrots from a nearby farm for $0.65 per pound and sells them for $0.88 per pound. What markup rate does the grocery store use? Round to the nearest whole percent.

The markup rate that the grocery store uses is _____ % (Round to the nearest whole percent.)

Answers

Answer:

35%

Step-by-step explanation:

I'm sorry if it isn't right but I tried.

Provide the missing reasons for the proof.

Given: (AB) || (RS)

Prove: QA/QR= QB/QS

Answers

Answer:

Step-by-step explanation:

1) Given

2) <Q is congruent to <Q by reflexive prop of congruence

3) <QBA is congruent to <QSR by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR by AA theorem

5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)

Type the missing number that makes these fractions equal: 1 2 = 2

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{1}{2} * 4[/tex] = 2

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