Answers
9514 1404 393
Answer:
N17.91°W0.9 hoursStep-by-step explanation:
The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...
wrong vector + B = intended vector
B = (intended vector) -(wrong vector)
Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.
B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator
__
a) The new bearing must be N17.91°W
__
b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...
4.872 -4.0 ≈ 0.9 . . . hours
longer than originally planned.
_____
Comment on coordinates
Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.
Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)
Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.
Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)
Related Questions
Y varies directly with x. If y = 21, when x = 7, find y when x = 28.
Answers
y
∝
x
, which can also be written in the form
y
=
k
x
when it is directly proportionate and
y
=
k
x
when inversely proportionate, where
k
is a value we need to work out.
Since the equation is in the form
y
=
k
x
we know that...
21
=
K
×
7
∴
k
=
21
7
=
3
.
So we can write this as the formula:
y
=
3
x
Therefore using the value of
x
=
−
1.66
y
=
3
x
→
y
=
3
×
−
1.66
=
−
4.98
Answer:
y = - 4.98
Step-by-step explanation: This statement means
y
∝
x
, which can also be written in the form
y
=
k
x
when it is directly proportionate and
y
=
k
x
when inversely proportionate, where
k
is a value we need to work out. Since the equation is in the form
y
=
k
x
we know that...
21
=
K
×
7
∴
k
=
21
7
=
3
.
So we can write this as the formula:
y
=
3
x
Therefore using the value of
x
=
−
1.66
y
=
3
x
→
y
=
3
×
−
1.66
=
−
4.98
in science class, Marco recorded numbers. from an experiment as 12.87 12.13 12.5 and 12.08 which numbers are closer to 12 ? which are closer to 13?
Answers
Answer:
12.87, 12.5 is closer to 13
12.08, 12.13 is closer to 12
Step-by-step explanation:
Least to Greatest:
12
12.0812.1312.5 12.8713
2 1/4-( -3 5/6)
Answer as a mixed number in simplest form, Pls answer this plss
Answers
2 1/4 + 3 5/6 Distribute the negative
2 6/24 + 3 20/24 Multiply top and bottom of first number by 6 and second number by 4 to get common denominator
5 26/24 Add
6 2/24
6 1/12 Simplify
Find the reciprocal of 4
Answers
Answer:
reciprocal of 4 = 1/4
Step-by-step explanation:
By definition, a reciprocal of a/b = b/a.
Since 4 is the same as 4/1, then it's reciprocal must be 1/4.
Answer:
1/4
Step-by-step explanation:
because 4 = 4/1
reciprocal means to flip it upside down 4/1 = 1/4
Please help me with this question
Answers
Answer:
27°
Step-by-step explanation:
Add the 2 given angle measures to get 153°, and then subtract that from 180° to get 27°. (Remember that all interior angles of a triangle will add up to 180°).
Hope this helped :)
What is the value of x + 4? 3x−6(x+2)=−3 Enter your answer in the box. x + 4 =
Answers
Hi, I need help on this, please help me out.
Answers
Which of these following numbers is 100 times larger than five hundred and fifty-five? (a)55.5 (b) 555 (c) 5550 (d) 55500 (e) 555000
Why
Answers
Answer:
(d)55500
Step-by-step explanation:
just multiply 555 by 100 to get 55500
Please let me know if this is true or false?
Answers
Answer:true
Step-by-step explanation:
true
Consider the graph of f(x)=13x−2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x).
Answers
Using translation concepts, it is found that:
2f(x) is a vertical stretch by a factor of 2 of f(x).f(x + 2) is a shift left of 2 units of f(x).f(x) + 2 is a shift up of 2 units of f(x).What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
As for this problem, we have that:
For 2f(x), f(x) is multiplied by 2, hence it is a vertical stretch by a factor of 2 of f(x).For f(x + 2), x -> x + 2, hence f(x + 2) is a shift left of 2 units of f(x).For f(x) + 2, f(x) -> f(x) + 2, hence it is a shift up of 2 units of f(x).More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
In ΔJKL, j= 2.5 cm, k = 9.3 cm and l =8.4 cm. Find the area of ΔJKL to the nearest square centimeter
Answers
Answer:10
Step-by-step explanation:
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Answers
What is the slope of the line represented by the equation y = 4/5x - 3
Answers
Answer:
4/5
Step-by-step explanation:
the slope is the number next to x
y=mx+b is a model we use in math to find the slope. each letter is a place marker for different numbers.
slope is where the m is in the problem
in your case 4/5 is found in the same spot as m.
5. Find the slope of the following table?
Answers
Answer:
25-22. 3
---------- = ---
2-1. 1
slope is equal to 3
Can someone explain this? (This is algebra 1)
Answers
Answer:
x=12
Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12
Order these numbers in Descending order
Answers
Answer:
28.3, 28 1/3, 25 1/4, 5v25
Step-by-step explanation:
No links just answer
Simplify
Answers
Answer:
first option _32\21 is the answer
Step-by-step explanation:
the answer will
-32/21
I'm indian just came in Canada
indians are very intelligent in maths
What are the answers to these questions
Answers
Hello there !
[tex]1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups[/tex]
write 49/7 as a whole number
Answers
Answer:
7
Step-by-step explanation:
the fraction 49/7 is the same as the problem 49÷7
If you do the problem, you get 7, and if you want to check you could do the inverse- 7x7=49. Since that checks out, 7 is your answer.
Hope this helps :)
time to help me plz Jackie's mother has a son .How would the son related to Jackie.
Answers
Answer:
brother
Step-by-step explanation:
Given
f(x) = 2x^2 – 5x, evaluate f (-4).
Answers
Answer:
52
Step-by-step explanation:
f (-4) = 2(-4)² - 5(-4)
= 32 + 20
= 52
7. Write 1.07 x 103 in standard form.
Answers
Answer:
if its 1.07 x 10^3 its 10,70
Step-by-step explanation:
A high-end interior designer charges an hourly rate for his services plus a consultation fee. As a courtesy to his clients, after working on a job for over 20 hours, his hourly rate drops and the consultation fee is waived. The fees for the interior designer's services can be modeled with the following piecewise equation, where x represents the number of hours. f(x)={150x+300, x≤20100x, x>20 How much would it cost for 18 hours of interior design services? Enter your answer in the box. $
Answers
Answer:
3000
Step-by-step explanation:
NO LINKS PLEASE HURRY I REALLY NEED HELP
Answers
Answer:
The choice;
[tex] - 1.45x - 3.41[/tex]
I hope I helped you^_^
Answer:
[tex]3.81x - 5.26x - 4.94 + 1.5 = \\ = - 1.45x - 3.41[/tex]
On November 1, Jovel Company loaned another company $100,000 at a 6% interest rate. The note receivable plus interest will not be collected until March 1 of the following year. The company's annual accounting period ends on December 31, and adjustments are only made at year-end. The adjusting entry needed on December 31 is:
Answers
find -x , when x=-16/51
Answers
Answer:- 1.066667 i think
Step-by-step explanation:
Choose the system for the graph
Answers
The answer will be A
3) MS. Thomton spends $1.44 on 6 ounces of Mike and lkes. How much does he spend for pound?
(16 oz = 1 lb).
Answers
Answer:
He spent $3.84 for a pound of Mike and Ikes.
Step-by-step explanation:
First thing to do is divide 1.44 by 6 to get the amount of $ 1 ounce of Mike and Ikes cost. 1.44/6=0.24
Then multiply 0.24 by 16(amount of ounces in a pound) to get the amount of $ spent on 1 pound of Mike and Ikes.
0.24*16=$3.84
What is the slope-intercept form for 3x-y=9
Answers
The attached picture is the answer. Hope it helps!!!
move 3x over
-y= -3x+9
divide both sides by -1 to make y positive
your answer should be y=3x-9
Help!!![tex]What is the measure of ∠L?[/tex]
Answers
Answer:
60°
Step-by-step explanation:
1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.
Therefore, ∠L is 60°.