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
Daca adun sfertul lui a cu jumatatea lui b si cu treimea lui c, obtin 120. Stiind ca jumatatea lui b este cu 24 mai mare decat sfertul lui a si de 4 ori mai mare decat treimea lui c, afla cele 3 numere si suma acestora. Ajutor, va rog!
Answers
Answer:
Step-by-step explanation:
Dacă adaug un sfert de la jumătate de b și o treime de c, obțin 120.
Aceasta se exprimă ca:
1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1
Știind că jumătate din b este de 24 de ori mai mare decât un sfert de a
1 / 2b = (1/4 × a) 24
b / 2 = (a / 4) 24
b / 2 = 6a
Cross Multiply
b = 6a × 2
b = 12a
a = b / 12
Jumătate din b este de 4 ori mai mare decât o treime din c
1/2 × b = 4 × (1/3 × c)
b / 2 = 4 (c / 3)
b / 2 = 4c / 3
Cross Multiply
b = 2 × 4c / 3
b = 8c / 3
8c = 3b
c = 3b/8
1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1
Înlocuim
1/4 × b / 12 + 1 / 2b + 1/3 × 3b / 8= 120
b / 48 + b / 2 + b/8 = 120
Înmulțiți cu 48
b/48 × 48 + b/2 × 48 + b/8× 48 = 120 × 48
b + 24b + 6b = 5760
31b = 5760
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit card? Round to the nearest cent.
Answers
If all the relevant discounts are used including the store credit card, the final price of the phone would be $375.15.
The sale price of the phone has been discounted by 35% which makes it:
= Price of phone x (1 - discount)
= 679 x ( 1 - 35%)
= $441.35
Then using the store credit card would reduce this by a further 15%:
= 441.35 x (1 -15%)
= $375.1475
= $375.15
In conclusion, the final price of the phone is $375.15.
Find out more at https://brainly.com/question/19637511.
7/15 simplified I’ve tried everything!!PLEASE ANSWER ASAP
Answers
Answer:
You cannot simplify 7/15 to a smaller fraction. But you could divide 7 by 15 to get a decimal.
Step-by-step explanation:
Answer:
you can't simplify the number 7
A right triangle with leg lengths of 4 and 3 units has to be positioned in the
coordinate plane to write a coordinate proof. Which set of coordinates
would make the proof easier to complete?
Answers
Answer:(0,4),(0,0),(3,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
As in this answer has y intercept, and x intercept, and (0,0)
The bill came to 240. You leave 20% tip. How much is the tip?
Answers
Answer:
20% of 240 should be 48.
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?
Answers
Help me I’m dumb , I feel as if I’m right but I ain’t sure.
Answers
Answer:don’t worry u not dum and also im sorry that’s not a function.
Step-by-step explanation:
Give me brainliest!
⚠️Tell if the following systems of equations have zero, one, or infinite solutions: -6x + 3y=18 and y=2x - 2⚠️
Answers
Answer:
0 solutions
Step-by-step explanation:
-6x+3y=18
y=2x-2. so substitute y in the first equation
-6x+3(2x-2)=18 distribute and combine like terms
-6x +6x-6=18 and we end up with
-6=18 witch is never true so the system of equation has 0 solutions
jaheel earn $12.75 per hour plus 4% commission on his furniture sales . During a six-hour shift, jaheel made four sales as shown in the table below
Answers
Answer:
$272.50
Step-by-step explanation:
What is the degree-measure of an angle travelled by the minute hand from 3:05pm to 3:50pm?
Answers
Answer:
270°
Step-by-step explanation:
We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.
Our equation would be: 360 ÷ 12 = 30
3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.
9 · 30 = 270, so our angle is 270°
I hope this helped, please mark Brainliest, thank you!
Which expression is equivalent to -20 - (-4)
A. -20+4
B. 20+4
C.-20 -4
D. 20-4
Answers
The given expression [-20 - (-4)] is equivalent to (-20 + 4).
What is a linear equation?A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
-20 - (- 4)
= (-20 + 4)
Learn more about linear expression here:https://brainly.com/question/24129451
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2u - 6u =
( worth 10 points)
Answers
2u-6u = -4u
Good luck!!
A pair of headphones are on sale for 15% off. The sale price is marked at $51.00, what is the original cost of the headphones?
Answers
Answer:
awh i cant help u
Step-by-step explanation:
Help me now!!!!! This is due at 12
Answers
i know this because
2 x 9 = 18
4 x 9 = 36
and 14 x 9 = 126
so, the constant of this proportional ratio table is 9
144 divided by 9 is 16
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
Susan has a collection of nickels and dimes. If the number of nickels is times the number of dimes, how many nickels and how many dimes does she have?
Answers
Find the slope of the line that passes through the given two points:
(1.4) and (3,7)
m =
Please help me don’t use this for Free answers
Answers
Answer: 3/2
Step-by-step explanation: slope is 3/2, I calculated it with the slope formula
A rental car agency charges $230.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $338.00?
Answers
Evan's mother had 6 gallons of ice cream in the freezer that
she used for his birthday party. If the guests ate % of the ice
cream, how many gallons of ice cream were eaten at the.
party?
Answers
Answer:5 and 1/16
Step-by-step explanation:
The formula to find the surface area for a rectangular prism is
=2+2ℎ+2ℎ
S
A
=
2
l
w
+
2
w
h
+
2
l
h
=2+2ℎ+2ℎ
S
A
=
2
l
w
+
2
w
h
+
2
l
h
What is/are the independent variable(s) for the formula?
Answers
Answer:
w= a-2hl/2(l+h)
l= a-2hw/2(w+h)
h= a-2wl/2(w+l)
Answer:
The formula to find the surface area for a rectangular prism is - Brainly.com
Step-by-step explanation:
A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?
Answers
Answer:
yes
Step-by-step explanation:
Answer: 1 2/3 yards for each bow
Step-by-step explanation:
8 1/3 divided by 5 = 25/3 * 1/5 = 5/3
find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined
Answers
Answer:
The slope is -4/3.
Step-by-step explanation:
Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.
Answer:
the slope should be -4/3
Step-by-step explanation:
you go down 4 and to the right 3 so I am pretty sure it is -4/3
help plz it's a 9th grade question
Answers
x= 45/7
y=426/7
Jimmy and Lauren are
organizing transportation for
a field trip from ACIT. Jimmy
found out that his group has
841 students, and he needs 9
vans and 16 buses to
accommodate. While Lauren’s
group has 351 students, and
she needs 8 vans and 5 buses
for them. How many students
fit in a van and a bus for this
field trip? (please include steps)
Answers
Step-by-step explanation:
Jimmy's group : has 841 students
Lauren's group: has 351 students
9 vans 16 buses
8 vans 5 buses
Vans: V
Buses: B
9v + 16b = 841
9v + 16b = 841
-16b -16b
9v/ 9 = 841 /9 - 16b/9
8( 841/9 - 16b/9) +5b = 351
v - (841/ 9 - 16b / 9 )
8 (841 / 9 - 16b/9) +5b = 351
6728/9 - 128b / 9 +5b = 351
-128b/9 + 45b/9 = -83/9b
6728/9 -83/9
- 6728/9 +83/9 = 3159/9 - 6728/9
(9)83b / 9 = -3569 (9)/9
-83b = -3564
-83 -83
B = 43 students
8v + 5b = 351
8v + 5 (43) = 351
8v + 215 = 315
-215 -215
8v = 136
8 8
V = 17 students
43 students can fit on a bus and 17 students can fit in a van.
How do you write a linear equation given the slope and a point that is not the y-intercept?
Answers
Answer:
y=mx+c
Step-by-step explanation:
m is the slope
u can calculate c using given coordinates
Faye bought 3 bookmarks at the book store if each bookmark cost $1.40 and she paid with a twenty dollar bill how much change should she get back
Answers
Answer:
$15.80
Step-by-step explanation:
First you multiply $1.40 times 3 to get $4.20 then you subtract the $4.20 from $20 to get $15.80
True or False: sec-10.5 is undefined. Explain your answer.
Answers
Since no angle has a cosine of 2, the arcsecant of 0.5 is undefined, and the statement that [tex]\sec^{-1}{0.5}[/tex] is undefined is True.
What is the secant of an angle?The secant of angle is given by one divided by the cosine of the angle, that is:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
The cosine of an angle has values ranging between -1 and 1, hence the values of the seccant are in the following interval:
[tex][1, \infty)[/tex]
The concept of the arcseccant, [tex]arcsec{x} = \theta[/tex] means that angle [tex]\theta[/tex] has a secant value of x.
In this problem, the expression is given by:
[tex]\sec^{-1}{0.5}[/tex]
No angle has a secant of 0.5, as 0.5 is not on the interval [tex][1, \infty)[/tex], hence the statement that [tex]\sec^{-1}{0.5}[/tex] is undefined is True.
More can be learned about the secant of an angle at https://brainly.com/question/13983605
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y-9= 2(x - 5)
Solve for y
Answers
Answer:
y=2x-1
Step-by-step explanation:
y-9=2x-10
y=2x -10+9
y=2x-1
y=2x-1
Explanation:
Let’s start! After doing distributive property, the equation will be y-9=2x-10. Now, we move over the “-9” to the other side and add it to -10. So the new equation will be y=2x-1. Can you vote for me on brainliest? Thank you if you do. Have a good day!
the price of a item yesterday was $160. today, the price fell to $104. find the percentage decrease
Answers
Answer:
-35% decrease in price.
Step-by-step explanation:
Type in "percentage decrease calculator" onto google and click on first result
Here's the equation
What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2
Answers
Answer:
1. y=2x-3
2. y=4x-2
Step-by-step explanation:
1) y = 2x-3
2) y = 4x-2
Hope you have a wonderful day!
Helpp hurry plzzz!!
Which is an equation of the line parallel to 4y - 7x = 8 and passes through (-4, 0)?
A. y = 7/4x + 7
B. y = - 7x - 28
C. y = - 7/4x - 7
D. y = 7x + 28
Answers
Answer:
A. y = 7/4x + 7
Step-by-step explanation:
y = mx +c
4y -7x = 8
(make y the subject of formulae)
4y = 8 + 7x
divide through by the coefficient of y (4)
y = 2 + 7/4x
7/4 = m1
since the line is parallel m1 = m2
let see : {y -y¹}÷ {x-x1} = 7/4
x¹= -4 , y¹ = 0
{y - 0} ÷ {x- (-4) } = 7/4
cross multiply
4(y - 0) = 7(x+4)
4y - 0 = 7x + 28
4y = 7x +28 +0
4y = 7x + 28
(divide both sides by the coefficient of y)
y = 7/4x +28/4
y = 7/4x + 7
