Solve a ship leave port and travel 21km on a bearing of 032° and then 45km on a bearing 287 calculate the distance and bearing of the port from the ship
Answers
Answer:
Step-by-step explanation:
Let shall be considering the Cosine rule in this situation.
a^2 = b^2+c^2- 2bc.cosA
Where a = ?
b = 21km
c 45km
A = 131
a^2 = 21^2+45^2-2(21*45).cos131
a^2 = 441+2025-1890(-0.6560)
a^2 = 2466+1239.951
a^2 = 3705.951
a= 60.876km
Finding the bearing of the port from the ship.
We shall be considering the Sine rule
Sin A/a = Sin B/b
Where A = ?
a = 45km
B = 131°
b = 60.876km
Sin A/45 = sin131/60.876
SinA×60.876 = 45×sin131
SinA×60.876= 45×0.7547
SinA×60.876 = 33.961
SinA= 33.961/60.876
SinA = 0.5578
A = sin^-1 0.5578
A = 33.9°
Related Questions
HELP PLS MY CLASS IS ALMOST STARTING
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this is my question here
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Answer:
The greatest number of cycling outfits that Mr. Trager can buy would be 2.
Step-by-step explanation:
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
Mathhhhhhh which ones about slope are true
Answers
Answer:
i think it is, the second one and the fourth one
Step-by-step explanation:
Please show work . . .
Answers
Answer:
19.64
the permieter is 5 so 5/2=2.5 2.5x2.5=6.25 6.25x3.14=19.64
A part is being machined. The starting thickness
of the part is 6.18 inches. Three cuts are
taken. Each cut is three-tenths of an inch.how many were removed ?
Answers
what is 48% of 60? This is for Algebra 1! :)
Answers
Answer:
48% of 60 is 28.8.
hope it helps
Ms. Young acquired a loan of $40,000 at her local bank. The loan has a simple interest rate of 6% per year. What is the amount of interest that Ms. Young will be charged on the loan at the end of 5 years.
Answers
Answer:
12.000
Step-by-step explanation:
40000x6= 240000/100= 2400x5
Brainliest ,easy question
Answers
Answer:
Scale factor is 2/5 or 0.4
Step-by-step explanation:
Divide radius of smaller circle (2) by radius of large circle (5)
Answer:
Scale factor is 2/5
Step-by-step explanation:
PLEASE HELP PLEASE ASAP!!!
Drag and drop the responses into the boxes to correctly complete the statements.
Answers
Answer:
verticles angles are different from each other so ans is a²×b² = c²
can anyone explain this to me?
Answers
55.2+34.7= 89.9
180-89.9= 90.1
x=90.1
BRAINLIEST!!
which statement correctly compares the function y = 5x + 5
Answers
Solved Correct Answer B ( conjucted with association of y= 5x + 5 - Graphed (0,5)
Sophia babysits for $15 per hour. She mows lawns for $12 per hour.
This weekend, Sophia babysits 4 more hours than she mows lawns.
She earns a total of $195. Write a system of equations that can be used
to find how many hours she worked at each job.
Let b be hours babysitting. Let m be hours mowing.
b=m+ 4
hours worked
15b + 12m = 195 total money earned (please help me with both parts)
Answers
Answer:
0
Step-by-step explanation:
Dog food bad contains 18 cups to fill it up his friend dog eats 1 1/2 each day he says he'll be able to feed his dog for 27 days that true?
Answers
Answer:
It's not true because 18 cups will only last 12 days, not 27 days.
Step-by-step explanation:
1 1/2 = 3/2
3/2(27) = 40.5 cups
18 = 3/2c
c = 12
becca surveyed the students at her school to find out which cellphone company they use. Her results are listed on the table. What is the probability that a randomly chosen student is a junior who uses company B?
Answers
Answer:
would be awesome if u had attached a pic of the graph. we can't help u with this little information
Solve the following inequality: −5(x−1)>−40
Type the solution
Answers
Answer:x = 7
Step-by-step explanation:
Simply because:
5(1 + x) = 40
(1 * 5 + x * 5) = 40
(5 + 5x) = 40 5 + 5x = 40
5 + -5 + 5x = 40 + -5
0 + 5x = 40 + -5
5x = 40 + -5
5x = 35
x = 7
A 100 foot wire is extended from the
ground to the top of a 60 foot pole,
which perpendicular to ground level.
Find, to the nearest degree, the
measure of the angle that the wire
makes with the ground.
Answers
36.869
8
o
.
36.8698
o
.
The angle that the wire makes with the ground is 36.87° with horizontal.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
The given situation is making a right-angle triangle,
By Pythagoras' theorem in the triangle.
Base = √(100² - 60²) = 80 foot
By tan trigonometric function,
tanx = 60/80
x = 36.87°
Hence "The wire's angle with the ground is 36.87° with respect to the horizontal".
For more information about the trigonometric function,
https://brainly.com/question/14746686
#SPJ2
Helpp
A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses:
15, 14, 6, 13, 20, 13, 9, 17
Answers
The value of
√
40
falls between which two numbers?
Answers
Answer:√40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.
Answer:
Between 6 and 7
Step-by-step explanation:
40 lies between 36 and 49
find square root of each (6 and 7)
please i really need to pass.
Answers
Answer:
C should be the correct answer
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup
Answers
12 small bowls of soup can be served from a 108 ounce pot of soup
150-ounce pot of soup can make 10 large bowls. Hence:
Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl
For 108 ounce pot of soup:
Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls
1 small bowl = (3/5) large bowl
7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls
Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.
Find out more at: https://brainly.com/question/21105092
IF ΔABC ~ ΔXYZ, which proportion is not necessarily true?
Options
AB/BC = XY/YZ
AB/XZ = AC/YZ
AC/XZ = BC/YZ
AB/AC = XY/XZ
Answers
In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include your calculations and the completed table in your answer.
Answers
Answer:
50, 130, 30, 60
Step-by-step explanation:
For the boys row (Simpsons)-20
For the girls row (Simpsons)-70
For the girls row (Lone Ranger)-50
For the total of Sesame Street- 110
Hope this helped!
24 and 25 thanks you no links or i report
Answers
Answer:
24) D. 5
25) C. $40
Step-by-step explanation:
........
PLS HELP WILL MARK BRAINLIEST
Answers
Answer:
The center:(20,0.05)
Radius: 9 units
Step-by-step explanation:
Rewrite the equation- (x-20)^2+(y-0.05)^2=81
(x-20)^2+(y-0.05)^2=9^2
Answer:
[tex]\displaystyle [20, \frac{1}{20}][/tex]
Explanation:
In a circle equation of [tex]\displaystyle [x - h]^2 + [y - k]^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle [h, k],[/tex]hence, you have your answer.
I am joyous to assist you at any time.
The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answers
Answer:
38b = s
Step-by-step explanation:
38 students multiplied by the number of buses = the total number of students that can be carried by bus.
Please lmk if you have questions
what is aproxamently the answer to 5 pi
Answers
Answer:
It turns into the decimal: 15.70796...
Step-by-step explanation:
An estate valued at $60 000 is divided among
three daughters Annette, Betty and Carol in the
ratio 1:2:3 respectively.
(a) Calculate the amount each received.
Answers
Answer:34 13
Step-by-step explanation:
ffrff
Help on these two pleaseeeeeeeeeee
Answers
Hope this helps!
please. very easy! will give brainliest
Answers
Answer:
A = 5808
P = 308
Step-by-step explanation:
Hope This Helps! :)
carpenter has a board that is 8 feet long. e cuts off two pieces. One piece is 32 feet ug and the other is 2 feet long. How ch of the board is left?
Answers
Answer:
2 1/6 feet
Step-by-step explanation:
A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left?
Total length of the board = 8 feet
Piece A = 3 1/2 feet
Piece B = 2 1/3 feet
Piece A + piece B
= 3 1/2 feet + 2 1/3 feet
= 7/2 + 7/3
= (21+14) / 6
= 35/6
= 5 5/6 feet
Length of the board remaining = Total length of the board - length of the two pieces
= 8 feet - 35/6 feet
= (48-35) / 6
= 13/6 feet
= 2 1/6 feet
Length of the board remaining = 2 1/6 feet
