6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B​

Answers

Answer 1

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.


Related Questions

Only right answers please :)

Answers

Answer:

Check out the link below

Step-by-step explanation:

https://brainly.com/question/11665146

Answer:

We know

y = 3.5x represents the cost of x pounds of raisins.

Also, cranberries costs $18 per 4 pounds

So, to graph these proportions, we have to find the equation for cranberries, if 4 pounds costs $18, that means 1 pound of cranberries is $4.50, this is the ratio of change of cranberries, using this ratio, we can say that the relation is

y = 4.5x

If you compare, cranberries are more expensive than raisins, the image attached shows both proportion graphed.

Therefore, raisins represent the lower unit price, $3.50 per pound, while cranberries represent the higher unit price, $4.50 per pound.

Answer :

well one line takes the slope of y=3.5x

The cranberries take the slope of Y=4.5x

so raisins have the lowest unit price.

PLEASE help me identify what type of quadrilateral this is please help ASAP

I would really appreciate it

Answers

Answer:

its c)

Step-by-step explanation:

just looked it up

pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in

Answers

Answer:

b) 256 inches

Step-by-step explanation:

8x5x2 = 80   (top & bottom)

8x5x2 = 80    (front & back)

8x8x2 = 128    (gross area of 2 sides)

4x4x2 =32      (delete this for side cutouts) Guessing the cutoff dimension on

                                                                       left side is 4m inch.

80+80+128-32 = 256 inches

Can you PLEASE HELP ME!!!

Answers

Answer:

The correct answer would be B I believe

Step-by-step explanation:

The correct answer is d

Factor the expression using GCF

7h + 21

Answers

7h divided by 7 = H, so 21 divided by 7 = 3
3 is your answer.


What is the value of x in the figure?

(15x)
15°
Enter your answer

Answers

Answer:

225 maybe

Step-by-step explanation:

sorry if wrong

The areas of sectors ACB and DEF are equal. what expression gives the values of x?show your work

Answers

Answer:

I think this is right thanks :)

what complex numbers graph is shown?​

Answers

Answer:

D.

Step-by-step explanation:

Took the test

I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
those who answer first will be marked brainliest !

Answers

Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

Find the sum of 0.333......and 0.444....​

Answers

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444....​..

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

The sum of 0.333.... and 0.444... is 0.777......

HELP DUE IN 5 MINS WILL GIVE 20 POINTS!!!!

Answers

Answer:

c is the answer i believe

Step-by-step explanation:

90 POINTS AND A BRAINLIEST!!!!!!



A certain rectangular prism has a height of 6 m, a length of 5 m, and a width of 4 m. Give the dimensions of a SECOND rectangular prism that will have the same surface area of the first one.




Pls dont look up the question and copy and paste the same answer either
if you do i will report you
if anyone is wondering why im so "pressed' I've had LOTS of issues with arrogant people
Thanks!


PLS DON'T ASK FOR BRAINILEST UNLESS YOU TAKE YOUR TIME AND ACTUALLY DO THE QUESTION PLEASE :((((

Answers

Answer:

The surface area is 148

Step-by-step explanation:

Soooo i had to look up how to do it cause i completely forgot how. But once i did, i worked it out.

The formula i got was: A= 2(wl+hl+hw)

W= width                 h= height           l= length

From there i just replaced the corresponding numbers for the letters that represent them. (think of that as like you see someone that you think represents you and you try to replace them, with you. Same here just w/ numbers and letters)

A= 2 [ (4x5) + (6x5) + (6x4) ]

from here you do order of operations starting with what's inside the parentheses. Then you work your way out.

A= 2 [20+ 30+ 24]

A= 2 [74]

Anytime a number is next to parentheses or brackets (which are these: [ ] ) you multiply what is outside them by what's inside them. (for this think about kids. When you seperate them, they try to make more noise. When you seperate numbers, they multiply)

Final answer is

A= 148

if this is wrong i am so, so, so sorry. I hope this helps, and i hope you have an amazing day!! Be tiger fierce! :)

A length of 5.3, a width of 7, and a height of 3.  This would give you the same surface area of 148 as the 1st one. Good luck with your studies <3

38- Blank:_____=12c+4+3c

Answers

Answer:

38-15c-4

Step-by-step explanation:

38-x=12c+4+3c

38-x=15c+4

x=38-15c-4

Find the y-intercept and write as a point (x, y)​

Answers

Answer:

(0,3)

Step-by-step explanation:

Answer:

The two points- (0,3) (-2,-1)

The y-intercept is (0,3)

The slope is 2

Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.

Answers

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.

Step-by-step explanation:

Bonjour mon exercice c'est 36%de 25km. C'est un exercice de maths à faire pouvez vous m'expliquer svp merci

Answers

Answer:

9km

Step-by-step explanation:

La question précise que:

36% de 25km

La signification de "OF" mathématiquement = x (multiplication)

Par conséquent:

36% de 25km

= 36/100 × 25 km

= 9 km

Which equation is NOT equivalent to p- 7 = 22? Select all that apply.
A. p-p-7 = 22-p
B. p-7-p = 22 -
C. p - 7 + 22 = 22 - 7
O
D. p - 7 + 7 = 22 - 22
Ep-7 + 7 = 22 +7

Answers

Answer:

c and d

Step-by-step explanation:

i hope this help

a. Work out the value of v when u = 1.1. a = 1.5 and = 1.2
b. Work out the value of value when u =2.5. a = -1.2 and t = -1.5

v=u+at​

Answers

Step-by-step explanation:

.......I am not sure...

3. A $50 pair of shoes is discounted by 15% What will be the new
price of the shoes?

Answers

Answer:

$42.50

Step-by-step explanation:

15% = .15

50 x .15 = 7.5

50 - 7.5 = 42.5

what is HL, please help me ill give you brainliest if its correct.

Answers

i think It is 21! Let me know if i is wrong.

Multiplying and Dividing by Powers of 10
~~~~~~~~~~~
which of these equivalent to 1,000,000?
A. 10(3)
B. 10(4)
C. 10(5)
D. 10 (6)​

Answers

Answer:

10(6)

Step-by-step explanation:

Hope it's right.....

It is D, you just have to multiply by 10 multiple times for example you do 10x10 then 100x10 1000x10 etc.... hope this helps!


[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it​

Answers

Bdhdhdhfurjfjdhdhdhdhd

a) Jelaskan konsep Alam Melayu.​

Answers

Answer: The Malay world or Malay realm, is a concept or an expression that has been utilised by different authors and groups over time to denote several different notions, derived from varied interpretations of Malayness, either as a racial category, as a linguistic group or as a political-cultural group. The use of the term 'Malay' in much of the conceptualisation is largely based on the prevalent Malay cultural influence, manifested in particular through the spread of the Malay language in Southeast Asia as observed by different colonial powers during the Age of Discovery.

-Your friend, Bill Cipher

Step-by-step explanation: Have a great Valentines day <3

Their sum is 12 and their product is -85

Answers

Answer:

-5 and 17

Step-by-step explanation:

-5+17 = 12

-5*17 = 12

Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.

This sum of -7 times A number and eight times the sum of the number and one is the same as the number -7

Answers

Answer:

-7x + 8(x + 1) = -7

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

Triangle ABC was transformed to be triangle DEF using one transformation.

What transformation was performed?

Answers

Your answer is correct.

The formula for the volume of a cylinder is V= ah, where Vis the volume, r
is the radius, and his the height. Solve the formula for r, and then use it to
answer the question.
A cylindrical bucket contains 452 cubic inches of water. The height of the
water is 4 inches.
What is the radius of the bucket, to the nearest whole number? Use 3.14 for
TT.
A. 8 inches
B. 5 inches
C. 7 inches
D. 6 inches

Answers

Answer:

volume=452in³

πr²h=452

r²=452×4/3.14=575.8

r=√575.8=23.99=24in is your answer

What is the greatest common monomial factor of 6m3x4 + 30m5y2 + 45m3x6y2? 6m5x6y2 3m3 6m3 3m5x6y2

Answers

I’d say 6 but I could be wrong

Answer:

3m³

Step-by-step explanation:

The leading coefficiets, 6, 30 and 45 are all divisible by 3

m is the only variable present in all three terms.

m³ is a factor of m⁵

isabella earned $44.00 for 4 hours of work.How much was earned per hour

Answers

Answer:

11$ an Hour because

Step-by-step explanation:

Because 4 divided by 44 = 11.

isabella earned a total of $176.00!!
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