8. A ship leaves port at 9:00 a.m. and has a bearing of N 70° W. The ship sails
at 18 knots. How many nautical miles north and how many nautical miles
west will the ship have traveled by 1:00 p.m.? Draw a picture!
Round to the nearest tenth.
Answers
9514 1404 393
Answer:
24.6 Nm north67.7 Nm westStep-by-step explanation:
In x-y coordinates, the direction is 70° CCW from 90° (north), so is 160° from the +x axis. In 4 hours at 18 Nm/h, the ship will travel 4×18 Nm = 72 Nm.
The coordinates in the x-y plane can be found to be ...
72(cos(160°), sin(160°)) ≈ (-67.7, 24.6)
The ship traveled 67.7 nautical miles west and 24.6 nautical miles north from the port.
Related Questions
What is the remainder of 96÷7
Answers
Answer:
13 reminder 7.
Step-by-step explanation:
If four bicycle lamps cost £24 how much would seven lamps cost?
Answers
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answers
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
Describe the transformation below. Use words like translated, reflected, rotated, or dilated with a description.
Answers
Answer:
translated
Step-by-step explanation:
the shape slides to a new position, but nothing is changed size wise.
A country's budget had a surplus of $250 billion in the year 2000. in 2004 , the budget had $447 billion. fund the difference between these amounts
Answers
Answer: $197 Billion
Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
Answers
T-p =r
This is the formula I think please I need more points
I really need to know theese and rhe rest plsss
Answers
Answer:
10.45?
Step-by-step explanation:
Answer:
5.05
Step-by-step explanation:
-2.7+7.75
2.7 is how much he descends so its negative
And 7.75 for how much he went up so its positive
Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answers
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
The radius of a circle is 10 feet. What is the area of a sector bounded by a 45° arc?
Answers
r=10 m
Hope that helps
Answer:
39.25 square ft
Step-by-step explanation:
[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]
PLEASE HELP ME!!!! 20 POINTS!!!!!!!
What is the correct expanded form and value of 4/5?
A. 4/5+4/5+4/5=12/5
B.4/5•4/5•4/5=64/125
C. 4+4+4+4/5=12/5.
D. 5/4•5/4•5/4=125/64
Answers
help with this plz brainliest
Answers
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
The temperature was recorded at the same time each day,
a)
Which temperature was the warmest?
b)
Which temperature was the coldest?
c)
How much colder was it on Thursday than on Saturday?
d)
On Sunday the temperature was 5°C lower than on Saturday.
What was the temperature on Sunday?
Answers
Answer:
a) The warmest temperature will be the one where the value of the temperature is the largest, in the table we can see that the largest temperature is 3°C on Saturday.
Then the largest temperature was on Saturday, and it was 3°C
b) Which temperature was the coldest?
Now we need to look at the smallest temperature (or the largest negative temperature). In the table we can see that the smallest temperature is -6°C on Friday.
Then the smallest temperature is -6°C.
c) On Thursday the temperature was -1°C
On Saturday the temperature was 3°C
The difference between the temperatures is:
-1°C - (3°C) = -4°C
This means that Thursday was -4°C colder than on Saturday.
d) On Sunday, the temperature was 5°C lower than on Saturday.
On Saturday the temperature was 3°C, then the temperature on Sunday is:
T = 3°C - 5°C = -2°C
The temperature on Sunday is -3°C.
1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65
Answers
Answer:
2
Step-by-step explanation:
bc
Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
The ratio of their perimeters is 3:5
Answers
Answer:
That is statement is true
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answers
Answer:
Irrational
Step-by-step explanation:
which inequality is the solution to 20+2
Answers
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
what is 656 ÷ 4
we need to know how to solve this equation.
Answers
Answer: 164
Step-by-step explanation: 656 /4
164
. The industrial output of an automobile factory increases by 5% of what it had been in the beginning of
every year. Find the production after 3 years, if the factory turns out 80000 units this year.
Answers
If the factor increases output by 5% yearly than the end output will be 92,610
Find 9079 + 1232 + 9786.
Answers
Michael drove from home to work at an average speed of 50 mph. His return trip home took 30 minutes longer because he could only drive at 40 mph. Find the distance from his home to his work. A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question. B. [4 pts) Algebraically solve the equation you created and express your final answer using a complete sentence and appropriate units. (You will not receive full credit if a trial and error method is used in place of an algebraic method.)
Answers
Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
Find out more on speed at: https://brainly.com/question/4931057
The price of a four-star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how much would it be
Answers
wheoemslaowoaaueiedrs
i’m confused on this- can someone help me?
Answers
Answer: great adventure theme park is more expensive
Step-by-step explanation:
help plz
can someone simplify 3 to the power of 2 times 3 to the power of 3
Answers
Answer:
(9)(27) also 243
Step-by-step explanation:
So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243
-4 ( ) = -16
-16= -8 ( )
Answers
2
Hope this helps!!!!!
-16=-8x2
Because negative x positive is negative
2.' Which number has more factors: 125 or 200?
Answers
Answer:
200
Step-by-step explanation:
factors of 125 are 1, 5, 25, 125
factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 and 200.
Based on the number of factors of the two numbers, the number with more factors is 200.
The factors of 125 are:
1525125The factors of 200 are:
1245810254050100200The factors of 200 are 12 in total while that of 125 are only 4.
In conclusion, 200 has more factors than 125.
Find out more about factors at https://brainly.com/question/596862.
A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.
Answers
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
At a basketball game, a team made 53 successful shots. They were a combination of 1- and
2-point shots. The team scored 90 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were
2-point shots and 1-point shots.
Answers
Answer:
Let x be the number of 1 point shots, and y be the number of 2 point shots.
So the system is:
x+y=53
1x+2y=90
We can solve this system by substitution.
x+y=53, x=53-y
x+2y=90
53-y+2y=90
53+y=90
y=37
That means, the team made 37 two point shots.
If the team made 37 two point shots, the team scored 37 x 2, or 74 points from 2 point shots, meaning that it made 16 one point shots.
So the correct answer is: 16 one point shots, 37 two point shots.
Let me know if this helps!
Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a
hand sanitizer that is x% alcohol,
How many milliliters of water is in the resulting mixture of hand sanitizers?
Answers
Answer:
(370-2x)ml
Step-by-step explanation:
We are given that
In first hand sanitizer
Total solution=200ml
Alcohol=15% of 200ml
Alcohol=[tex]\frac{15}{100}\times 200=30ml[/tex]
In second hand sanitizer
Solution=200 ml
Alcohol=x% of 200 ml
Alcohol=[tex]\frac{x}{100}\times 200=2x ml[/tex]
We have to find the water in the resulting mixture of hand sanitizers.
Total solution of two hand sanitizers=200+200=400ml
Total alcohol in two hand sanitizers=(30+2x)ml
Water in two hand sanitizers=400-(30+2x) ml
Water in two hand sanitizers=400-30-2x ml
Water in two hand sanitizers=(370-2x)ml
Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml
PLEASE PLEASE PLEASEEE HELP ME
Jamal needs to purchase a countertop for his kitchen. Jamal measured the countertop as 5 ft. The actual measurement is 4.5 ft. What is Jamal’s percent error?
A) 5%
B) 11%
C) 45%
D) 50%
Answers
Answer:
percent error is 11.1% (which agrees with answer B)
Step-by-step explanation:
The discrepancy (difference) between the measurement and the real length was: 5 - 4.5 = 0.5 ft
Then the percent difference is calculated as:
(difference / real value) * 100 = ( 0.5 / 4.5ft ) * 100 = 11.1%
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm