A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
How far is the ship from the port, and what is its bearing?
Distance: 8.6 miles; Bearing: 20.2 degrees West of North.
Distance: 8.6 miles; Bearing: 20.2 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees West of North.
Answers
Answer:
C
Step-by-step explanation:
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
What is cosine law?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
This problem is shown in the image. The distance of ship from initial point is,
[tex]c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles[/tex]
The measure of the angle x is,
[tex]\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o[/tex]
Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
Learn more about the law of cosine here;
https://brainly.com/question/4372174
Related Questions
Given the equation x^2=16, which statement below describes the solution(s)?
Answers
Answer:
4
Step-by-step explanation:
x²=16
x=√16
x=4
Answer:
x^2=16
^ stands for power or exponent
so, the equation is: x square= 16
for this x should be equal to 4
now,
4^2=16
Step-by-step explanation:
7 (3 - 0.5k) 3k - 5
Answers
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
to increase an amount by 19% multiple by?
Answers
Answer:
1.19
Step-by-step explanation:
The original full amount is 100%.
When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.
To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19
Answer: 1.19
Find three consecutive even integers suche
that one half of their sum is between 15
and 21.
Answers
9514 1404 393
Answer:
10, 12, 14 and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question
Step-by-step explanation:
If x is the middle one, then their sum is 3x. You want ...
15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21
30 < 3x < 42
10 < x < 14
The only even integer in that range is 12, so the three integers are ...
10, 12, 14 . . . . . half their sum is 18
__
We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.
PLEASE HELP! BRAINLIEST FOR THE CORRECT ANSWER!!!
Answers
Answer:
i think
Step-by-step explanation:
18:63
14:15
13:7
12:6
The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.
Answers
Answer:
Step-by-step explanation:
Estimates are rough guesses based on current or previous prices. Therefore, it is impossible to conclude whether or not Trenton has actually raised enough money, especially if no actual price for the jackets has been provided. That being said an estimation is usually a close enough representation of the actual value, which would mean that the chances of having raised enough money (if that is what the estimates say) are pretty high.
help if you cannn please
Answers
Answer:
I want to say it is 8,000
Step-by-step explanation:
go to 80 degrees and go up to the next point and that is on 8,000
Answer:
8,300
Step-by-step explanation:
If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
x = 1 1/2
x = -1 1/2
x = 1 1/4
x = -1 1/4
Answers
Answer:
A. x = 1 1/2
Step-by-step explanation:
Answer:
A. x = 1 1/2
Step-by-step explanation:
Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.
Answers
9514 1404 393
Answer:
one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32Step-by-step explanation:
The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.
The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.
Any pair of numbers can be used that is not (14, 20) or (32, 128).
The next two terms could be 0 and 1, or they could be 14 and 32.
2, 8, 0, 1 . . . is a sequence of no particular type
2, 8, 14, 32 . . . is a sequence of no particular type
Which of the following is part of the solution to the trigonometric inequality img included over the interval img included radians?
Answers
Answer:
C: pi/4<x<5pi/4
Step-by-step explanation:
I just did the test
The solution of the trigonometric inequality will be equal to π / 4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,
3 - tanx ≥ 4 - 2tanx
2tanx - tanx ≥ 4 - 3
tanx ≥ 1
tanx ≥ tan(π/4)
x ≥ (π/4)
Therefore, the solution of the trigonometric inequality will be equal to π / 4.
To know more about trigonometry follow
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Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Answers
Answer: y= 9
Step-by-step explanation:
B = (- 1, y)
We know that the slope is -7/5 which is rise/run
Thankfully the run is 5 which is the exact distance from 4 to -1 so we would need to apply -7 to 2 which would be 5
The answer is
B = (- 1, 5)
PLEASE help find measure of angle - TEst review today
Answers
Answer:
alternate exterior angles and lines are parallel so
10x is congruent to 11x-8
second question
alternate interior angles and lines are paralles so angles are congruent
Task 2.43 - HELP FAST
Show me a simple and easy solutions to these types of tasks (brainliest is achieveable)
Answers
Answer:
I gave explanations on paper the only one that I really didn't know how to do was 2.44 -b
sorry
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?
Answers
Given:
Original price of a blouse = $21.99
Sale = 25% off
To find:
The cost of blouse during the same before tax.
Solution:
Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.
[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]
[tex]\text{Price of blouse during sale}=16.4925[/tex]
Approximate the value to the nearest cent (2 decimal places).
[tex]\text{Price of blouse during sale}\approx 16.49[/tex]
Therefore, the cost of blouse during sale is $16.49.
Answer:
16.49
Step-by-step explanation:
SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)
Answers
Answer:
14x + 1
Step-by-step explanation:
4(2x-1)+3(2x+5) = 2x*4 - 1*4 + 2x*3 + 5*3
= 8x - 4 + 6x + 5
= 8x + 6x -4 + 5 {Combine like terms}
= 14x + 1
So what you should likely do first is distribute the 4 to the (2x-1), as well as distributing the 3 to the (2x+5). Then, you should end up with 8x-4+6x+15 once you have completed the distribution. After that, you should combine like terms so, 8x+6x to get 14x and then 15-4 to get 11 >>(NOTE: this can also be written as -4+15 which also gets 11, it just may be easier to see this as a subtraction problem in this sense), as a result you have 14x+11.
(I have work shown below)
Hope this helps!! :)
a b c d ?? help me pleas and ty
Answers
Answer:
a
Step-by-step explanation:
Answer:
a is the answer hopw this helps
The actual distance between Oaxaca and Guadalajara, Mexico, is 984 kilometers. On a certain map, these two cities are 4 centimeters apartOn the same map, Guanajuato and Tijuana, Mexico, are 10 centimeters apart. What is the actual distance between Guanajuato and Tijuana ?
Answers
Answer: 2460 kilometers
Step-by-step explanation:
Actual distance between Oaxaca and Guadalajara = 984 kilometers
Distance between Oaxaca and Guadalajara on a map = 4cm
Distance between Guanajuato and Tijuana on a map = 10cm
The actual distance between Guanajuato and Tijuana will then be:
= 984/4 × 10
= 246 × 10
= 2460 kilometers
1) Which is the best estimate for the amount of grass in the lawn
A.125ft
B.125sq ft
C.1,250ft
D.1,250sq ft
2) Which is the best estimate for the total length of the bricks?
A.125ft
B.125sq ft
C.1,250ft
D. 1,250sq ft
Answers
Answer:
for number one the answer is D). 1,250 sq ft. for number 2 it is A.) 125 ft
Thats all you really need to answer, it doesnt ask for you to explain it or anything.
Simplify 56yz^2/48y^5z^2
Answers
Step-by-step explanation:
10
TRUE OR FALSE
The x-coordinate of the point at which the graph of an equation crosses the x-axis is a(n) x-intercept.
Answers
Answer:
TRUE
Step-by-step explanation:
GIVE ME BRAINLIEST
QUICK WHAT IS0.034 is 110 of 0.0034.
Answers
Step-by-step explanation:
. We assume, that the number 10 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 0.034% of the output value, so we can write it down as x=0.034%.
5. Now we have two simple equations:
1) 10=100%
2) x=0.034%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
10/x=100%/0.034%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 0.034% of 10
10/x=100/0.034
(10/x)*x=(100/0.034)*x - we multiply both sides of the equation by x
10=2941.1764705882*x - we divide both sides of the equation by (2941.1764705882) to get x
10/2941.1764705882=x
0.0034=x
x=0.0034
now we have:
0.034% of 10=0.0034
How do you find y-intercept with only slope and on point plz explain too
1,4;slope=-2
Answers
Answer:
y= -2x+6
Step-by-step explanation:
use point slope form ----> y-y,=m(x-x,)
(the commas serve as ones)
y-4= -2(x-1)
use distributive property
y-4= -2x+2
add 4 to each side
y= -2x+6
Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12
Answers
Answer:
12
Step-by-step explanation:
52 minus 40
Josie walks 3/4 mile in 1/5 hour. What is Josie's speed in miles per hour?
Answers
50 raised to the power of zero
Answers
Identify each pair of angles as alternate interior, corresponding, alternate exterior, or none of these.
∠1 and ∠10
∠6 and ∠12
∠8 and ∠10
∠4 and ∠11
∠2 and ∠8
Answers
Step-by-step explanation:
Identification of given pairs of angles are as follows:
∠1 and ∠10: Corresponding angles
∠6 and ∠12: Alternate exterior angles
∠8 and ∠10: Alternate interior angles
∠4 and ∠11: Alternate interior angles
∠2 and ∠8: Alternate exterior angles
transformation:rotation,reflection or translation?
90 degree clockwise,90 degrees counter clockwise 180 degrees clock wise 180 degrees or 180 counter clockwise?
followed by a reflection, rotation or translation?
Answers
Answer:
Step-by-step explanation:
Counter clockwise 180 degree rotation
Please help!! I’m stuck on this one haha
Answers
Answer:
Ready to help soon as we know what that "one" is
Answer:
hahaha where is the pic
Step-by-step explanation:
Find the root of the following equation: (6+x)2−x2=168
Answers
Answer:
No solutions (roots)
Step-by-step explanation:
The root of an equation is basically the solution of the equation. If I'm reading the problem correctly, the equation is (6+x)*2 - x*2 = 168.
We distribute the (6+x)*2 part and get 12+2x - 2x = 168. Uh oh.. the 2x terms cancel each other out and we are left with 12=168. Either I'm reading the equation wrong or the equation has no solutions.
The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?