Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi

Answers

Answer 1

Answer:

use cosine law

x^2 = 543^2 + 543^2 - 2(543)(543cos 128°

solve for x

Step-by-step explanation:


Related Questions

A worker earns $30 every 4 hours. How much would the worker earn in 19 hours?

Answers

Step-by-step explanation:

30/4 = 7.5 per hour

now,

7.5 × 19 = 142.5

$142.5

Answer:

$142.50

Step-by-step explanation:

30 divide by 4 = 7.5

So each hour the worker would earn $7.50

7.5 x 19= The worker will earn 142.50 after working 19 hours.

suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+25000?

Answers

Answer:

  20.5 years

Step-by-step explanation:

The population is given by the exponential function ...

  p = 16000·(1 +0.022)^t

When p = 25000, we can find the value of t by taking logarithms.

  log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log

  t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t

It will take about 20.5 years for the population to reach 25000.

what are Two numbers that can add to 7 but multiply to -30​

Answers

[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]

[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]

1. The last time Lola played
basketball, she made 84% of the free
throws she shot. Based on this
information, how many free throws
will Lola make if she shoots 50 free
throws this season?

A: 42
B: 34
C: 26
D: 17

Answers

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

 -453 divided by 15 = (simplest form)​

Answers

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*

In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)

(solve this using Elimination Method, MUST SHOW WORK)

Answers

Answer:

23 starfish, 7 octopi

Step-by-step explanation:

x=starfish

y=octopi

x+y=30

5x+8y=171

-5(x+y=30)

5x+8y=171

-5x-5y=-150

5x+8y=171

3y= 21

y=7

x+7=30

x=23

23 starfish, 7 octopi

7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?

8)What is the probability of choosing green?

9) What is the probability of choosing either red or white?

10) What is the probability of choosing neither white nor green?

11) What is the probability of choosing other than yellow?

12) What is the probability of choosing black?

Answers

Answer:

7. 1/3

8. 1/6

9. 13/24

10. 5/8

11. 17/24

12. 0

Step-by-step explanation:

First find the total number balls by summing the indiviudal number of balls:

Total = 5 + 8  + 7  + 4 = 24

Then, the find any probability divide the number of ways your selected situation can happen from the total:

[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]

A final step if you want is to reduce the fraction to its simplest value. For example,

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

7) 8/24 = 1/3

8) 4/24 = 1/6

9) (8+5)/24 = 13/24

10) (24 - 5 -4)/24 = 15/24 = 5/8

11) (24 - 7)/24 = 17/24

12) (0)/24 = 0

---

Hey, hope this helped! If you want to say thank you, click the "Thanks" button and select the answer "The Brainliest!" - I appreciate it!

The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer

Answers

The value of k to the nearest integer is 21

Let the number of international tourist arrivals in Russia in 2011 be k

If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:

k = 24.7 - (13% of 24.7)

k = 24.7 - (0.135 * 24.7)

k = 24.7 - 3.3345

k = 21.3655

Hence the value of k to the nearest integer is 21

Learn more on decrement here: https://brainly.com/question/24304697

what is the 5th multiple of 6

Answers

Answer:

30

Step-by-step explanation:

What is 6, 5 five times?

Or 5x6?

SOLVE FOR ASA
-GEOMETRY

Answers

Step-by-step explanation:

Hope It Helps You

Here You Answer

ASA=Angle side angel where the angles are connected to the same side


It is given that kc equals bc and c=c because they are vertical angles so you just need one more angle which is b=k

Option c

Solve the proportion
x/10=9/5

Answers

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

what is the ration of 8 lions and 4 tigers

Answers

Answer:

the ration is 2:1 when simplified

What is 5 1/4 ➗ -2 1/2 equal to?

Answers

Answer:

-2.1

Step-by-step explanation:

Answer:

Hi, I hope i'll help you.

Step-by-step explanation:

The answer is 2.1, hope it helps!

Please help! I highly appreciate it! :D

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total surface Area of the cuboid is ~

[tex] \sf2(lb + bh + lh)[/tex]

[tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex]

[tex] \sf2[48 + 20 + 60][/tex]

[tex] \sf2(128)[/tex]

[tex] \sf256 \: \: ft {}^{2} [/tex]

Surface area = 256 ft^2

Surface area (SA) = Total area on the Surface only

SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)

SA = 2(12x5) + 2(4x5) + 2(12x4)

SA = 120 + 40 + 96

SA = 256 ft^2

Find the value of x. (3 points each)

(2x + 1)
(x - 43)
A) 81
C) 80
B) 74
D) 86

Answers

Answer:

x+43[tex]1\frac{x}{y} 2[/tex]

Step-by-step explanation:

1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1

Answers

Answer:

C.

Step-by-step explanation:

7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15

Write them in ascending order:

1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.

The mean = sum of the numbers / 11

= 80/77

= 7.3.

The median = the middle number

= 7.

The mode = the number which occurs most

= 1.

If the cost of 6 sandwiches and 4 drinks is $53 how much is one drink

Answers

Answer: The cost of one drink is $5.30.

Explanation: 6 + 4 = 10, and 53/10 = 5.3, therefore the cost of one drink is $5.30.

Answer:

$5.30

Step-by-step explanation:

6 + 4 = 10

53 / 10 = 5.3

:)

18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176

Answers

X is 0.1 because 0.1 x is 40 you move the decimal and make it a four because of multiplication

simplify
answer it
b)​

Answers

Answer:

a) 8x + 5x = 13x

b) 9f + 10f - 12f = 7f

Step-by-step explanation:

For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)

So 9 + 10 = 19, and 19 - 12 = 7.

Hope this helps you :)

Step-by-step explanation:

(a) 8x + 5x = 13x....simplified

(b) 9f + 10f - 12f = 7f.....simplified

Hope it helps you!

Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.

Answers

Answer:

33.3333% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

75 - 25 = 50

the price went from $75 to $50.

75 - 50 = 25

25 ÷ 75 = 0.3333333333333

0.3333333333333 x 100

= 33.3333%

Answer:

the discount was 33.3% off

Step-by-step explanation:

((New - Old)  / |Old|) x 100

((50 - 75) / |75|)  × 100

(-25 / 75) = -0.333

-0.333 x 100 = 33.3%

Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 months?​

Answers

Answer:

Fv = Pv(1 + i/m ) n×m

=60 000(1 + 0.12/2) 1×2

=60 000(1.06) ²

=60 000×1.1236

=67 416

i need atleast 5 volunteers for the magic trick

Answers

What magic trick??

Are you gonna do a magic??

Sorry for a lot of questions.

What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

Answers

Answer:

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then

y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line

pls help due soon i’ll mark brainliest

Answers

I can't see anything dude, you on something?

Comparing Theater Sales
I need help A.S.A.P!!!

Answers

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

1,508 rounded to the nearest hundred

Answers

Answer:

1,500

Step-by-step explanation:

hope this helped!

Answer:

1500.

Step-by-step explanation:

The hundreds digit is the 5.

A the next digit ( the tens) is 0  ( < 5) it remains as 0 and the 8 becomes 0.

Pls help me
With the hard math problem

Answers

Answer:

A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to Springfield

Hoped this helped.

[tex]BrainiacUser[/tex]

hi please help, I can't understand.
If the sides of a rectangle with area 12cm² are (3x-2) and (x+1)
a)X-? b)P-?​

Answers

The sides of a rectangle with area 12cm² are (3x-2) and (x+1).We know, area of a rectangle = length × breadthTherefore, by the problem

[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]

But a negative number cannot be the side of a rectangle.So, x = 2 cmNow, length = (3x - 2) = (3 × 2 - 2) cm = (6 - 2) cm = 4 cmBreadth = (x + 1) = (2 + 1) cm = 3 cm.We know, perimeter of a rectangle = 2( length + breadth)Therefore, the perimeter of the rectangle

[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]

Answer:

The value of x is 2 cm and the perimeter of the rectangle is 14 cm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

So first of all u have to make an equation. u know that length times width is the area 12. (3x-2) multiplied by (x+1) which is 3x^2+3x-2x-2 then simplified its 3x^2+x-2. THEN MAKE IT EQUAL TO 12 BC 12 IS THE AREA. so 3x^2+x-2=12 then use the quadratic formula to find x u can either use quadratic formula or factorising. I used factorising to get (x-2)(3x+7)=0 x=2 or x=-7/3. Sub in 2 into the equation 3x^2+x-2=12 to get 3(2)^2+2-2=12 so it will be 36+2=38 and then 38-2=36. That doesn’t sum up 12 so that isnt x. Then sub in -7/3 as x. So 3(-7/3)^2+(-7/3)-2. When u multiple that out it will give you 12. SO X IS 12. Then to work out the perimeter double the sides given (3x-2) and (x+1). That will be 6x-4+2x+2. Simplify to get to 8x-2. Then sub in your x (-7/3) to get 392/9. If u want u can leave it as a fraction or decimal 43.55555… where 5 is recurring. That is your perimeter. It looks confusing but trust me you will get :). Thank you

Question Is In The Picture

Answers

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30

WILL MARK BRAINLIST

What is the solution to this system of equations?

(I suggest using the elimination method by multiplying the first equation by 3.)

2x + y = 20

6x - 5y = -4

Points earned for putting your solution as an ordered pair. If work is shown, partial credit can be earned.

Answers

[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]

Answer:

(x,y) = (6, 8); please give Brainliest if this helped you

Step-by-step explanation:

Other Questions
Check all that apply. If csc=13/12 then:A. sec =12/13B. COS =12/13C. tan =12/5D. sin =12/13 Paul has 0.50$ in his pocket. What fraction of a dollar does he have My cells have an organized nucleus. am usually made of many cells, but sometimes I can be single celled. I cannot make my own food, sol must eat. I can have one or two parents. Guess Who? 1. WHO CAN DO AFFILIATE MARKETING? Find the area of the shaded rectangle by multiplying its length and width. Fill in the equation. How to find the derivative??? help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's 9 Toujours des questions!Your parents are making sure you've done everything you're supposed to do. Reassure them in your responses using indirect object pronouns, pay attention to verb tenses.Modle Est-ce que tu vas prter ton ordinateur ton frre?Oui, je vais lui prter mon ordinateur.1. Est-ce que tu as parl tes professeurs? Oui, je (blank) .2. Est-ce que tu vas envoyer un message ta tante? Oui, je(blank) un message.3. Est-ce que tu as donn le cadeau tes grands-parents? Oui, je (blank) le cadeau.4. Est-ce que tu achtes des livres tes soeurs? Oui, je(blank) des livres. 5. Est-ce que tu as montr les photos Madame Dupont? Non, je(blank) les photos. explain why mary shelley includes the story of safie in the novel. use evidence and examples from the text to support your answer. three lessons scout learned in to kill a mocking bird What addition statement does this show? A. 5.2 + 6.4 = 11.6 B. 5.2 + 6.4 = 11.6 C. 5.2 + (6.4) = 11.6 D. 5.2 + (6.4) = 11.6 Consider this reaction: 2h+ + co32- h2o + co2. Identify each of the following as a product, a reactant, or a coefficient. Co32-: h2o: co2: the 2 in front of h+:. When is it appropriate to take up "arms" against your own government? Cite an example. Defend your position. NO FILES PLEASE HELP NEED IT ASAP How are attachments formed and why are they considered important to an individuals health and wellbeing? Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?Hurry I need this :( How does the Preamble section of the Declaration of Independence conclude?with a bold claim and a statement of what will come nextwith a complicated, logical argumentwith an appeal to the readers' pietywith a summary of all earlier points 1. Which is a source of genetic variation?a. Mutationsb. artificial selectionC. exponential growthd. genetic bottlenecking which of the following was NOT a way the government controlled the economy during the war? Why did the author most likely include the image with the text?A. to help readers understand the process of photosynthesisB.to help readers visualize the interdependency of two processesC. to help readers visualize how glucose is stored as foodD. to help readers understand how chemical pathways functionPhotosynthesis and Cellular Respiration The processes of photosynthesis and cellular respiration are interdependenteach process is necessary to fuel the other. The chemical products of photosynthesis are the chemical reactants of cellular respiration, and the products of cellular respiration are the reactants of photosynthesis. During photosynthesis, plants, algae, and photosynthetic bacteriatogether called producerscreate their own food by capturing light energy from the Sun to make molecules of glucose. Organic molecules, including glucose, can then be stored as food to be broken down by cellular respiration when energy is needed. All living organisms perform some kind of cellular respiration. During cellular respiration, chemical pathways containing organic molecules such as glucose are broken down to release energy in a quickly usable form. Essentially, cellular respiration is the opposite of photosynthesis. A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.