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
PLEASE PLEASE PLEASE! WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! Really wanna get this over with only 1 more question after this
Answers
V=pir^2h
3^2=9x22= 198x3.14
621.72
Required volume=352π or 1105.84in³
Answer:
solution given.:
radius of outer rim[R]=5in
radius of inner rim[r]=3in
height[h]=22in
we have
volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)
=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³
PLEASE HELP AGAIN. IM TIMED
Answers
Answer:
B, 3 8/9
Step-by-step explanation:
It all comes down to equivalent fractions.
2 1/3 as an improper fraction is 7/3.
1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.
With that being said 7 x 3 = 21 resulting in 21/9.
14/9 + 21/9 = 35/9.
35/9 as a mixed fraction is 3 8/9.
Hoshi has $50. Emily has $23 more than Hoshi. Karl has $16 less than Emily. How much money do they have all together?
Answers
Answer:
88
Step-by-step explanation:
50 - 23 = 27
27 - 16 = 11
50 + 11 + 27 = 88
What is g(x)?
A. g(x) = -x2
B. g(x) = -2
C. g(x) = -|x|
D. g(x) = -x
Answers
Answer:
C.
g(x) = -|x|
Step-by-step explanation:
Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)(-∞,∞)
What is 0.8 m3 when converted in cm3?
Answers
Answer:
80 cm3
Step-by-step explanation:
100 cm = 1 m
.8m * 100 - 80cm
For the equation, complete the given ordered pairs.
3x-y=4
{0,_} [1,_} {_,4}
Can someone help me
Answers
Answer:
{0,-4} [1,-1} {8/3,4}
Step-by-step explanation:
3x - y = 4
{0,_} [1,_} {_,4}
For x = 0:
3x - y = 4
0 - y = 4
y = -4
For x = 1
3x - y = 4
3 - 3 - y = 4 - 3
-y = 1
y = -1
For y=4
3x - y = 4
3x -4 = 4
3x = 8
x = 8/3
Solution:
{0,-4} [1,-1} {8/3,4}
Please mark brainliest if this helped!
Please mark brainliest if this helped!
dump truck can carry 8 tons. How many pounds can the dump truck carry
Answers
Answer:
16000 pounds.
Step-by-step explanation:
A ton is 2000 pounds, so multiply that by 8.
PLEASE HELP !!! ONLY AN HOUR LEFT
Answers
Answer: arc ef is 68
Step-by-step explanation:
Since EF and FG are the same length (given)
and DE and DG are the same length (both are radius of the circle)
and DF is a shared side, the 2 inscribed triangles are congruent, making angle EDF also 68
The measure of an arc is the same as the measure of the angle across from it
Help please and no links
Answers
Answer:
1) should be B
2) should be C
Step-by-step explanation:
QUESTION 6 of 10: Your plan for your T shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
O c) 4
d) 5
оооо
Answers
Answer: 4
Step-by-step explanation:
I did 60,000 divide by 30 days equal 2000
2000 divide by 500 equals 4
There are 4 presses we need
we have given that the T shirt business calls for you to be able to produce 60,000
In a month there are 30 days
What is the meaning of the ratio?
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Therefore we have
[tex]\frac{60000}{30}=2000[/tex]
we have given that
each screen press can handle 500 shirts per day,
Therefore [tex]\frac{2000}{500}=4[/tex]
Therefore ,there are 4 presses we need
To learn more about the presses visit:
https://brainly.com/question/22451
PLSSSS HELP AND NOOOO LINKS OR SPAMMERS!!!! Write the equation of the line for the graph shown below.
Answers
b1=5,b2=7,h=4
need help plz
Answers
Answer:
[tex]A=24[/tex]
Step-by-step explanation:
For finding the area of a trapezoid you first have to use the correct formula which is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex].
Now we plug in what we already know.
[tex]A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(5+7)(4)[/tex]
Now we start with the parenthesis
[tex]A=\frac{1}{2}(12)(4)[/tex]
Now if you can, you can multiply the 1/2 and the 12 and the 4 using a calculator or mentally
[tex]A=24[/tex]
Answer:
24
Step-by-step explanation:
I hope this helps!! and Sak! can u pls tlk to me in my questions
2. What is the value of x? (y + 2.3) cm K G 7 cm (2.5x) H A. O 60 B. O 72 C.O 30 D.O 24
Answers
Answer:
ITS B SORRY CAPS
Step-by-step explanation:
A storage trunk is shaped like a rectangular prism. The trunk's volume is 18 cubic feet. The length of the trunk is 6 feet, and the width of the trunk is 2 feet. What is the height of this trunk
Answers
Answer:
1.5
Step-by-step explanation:
The height is 1.5 because to find the volume of a rectangular prism, you do length x width x height. Without height, you multiply length x width (6x2) and divide that by the volume (18 divided by 12 = 1.5)
An event that is guaranteed to happen has a probability of exactly
Answers
Answer:
100%
Step-by-step explanation:
It is confirmed to happen, or [tex]\frac{100}{100}[/tex]
Answer:
An event that is guaranteed to happen has a probability of exactly 1
A submarine travels 5.5 km due East from its base and then turns and travels due North for 3.4 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP.
Answers
Answer:
6.5km
Step-by-step explanation:
If you make a diagram, you'll see the submarine forms a right angle triangle with the base, where the hypotenuse is the length from the submarine to its base, and 5.5 and 3.4 are the side lengths. To find the hypotenuse, use the formula a^2+b^2=c^2.
5.5^2+3.4^=c^2
41.81=c^2
6.466=c
Round it to one decimal point and you get 6.5km.
Answer:
6.5km
Step-by-step explanation:
I think is this I am not really sure
Solve for x
A) 2
B) -10
C) 7
D) -3
Answers
I hope it will help u
Brainliest pls
Answer:
-10
Step-by-step explanation:
corresponding angles.
hope the image attached helps
thank you
look at pic 10 pts will mark brainilest
Answers
Answer:
its a right angle and the area of it is 24
Step-by-step explanation:
Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
10 cm
Which is the best estimate of the area of the figure in square centimeters?
Answers
the measure of an angle and its complements are 13x and 17x write an equation then solve
Answers
Step-by-step explanation:
Aal kimoya iyah I love 18Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?
Answers
The value of h -j is -5.
We have the function, f(x) = x² -4x + 8
Now, vertex
h = x = -b/2a
h = x = -(-4) / (-2)
h = x = -4/2
h= x = -2
Now, according to the graph
j = x= 3
So, h - j
= -2 - 3
= -5
Learn more about Function here:
https://brainly.com/question/30721594
#SPJ1
A rectangle has side lengths of (3x+6) inches and (2x-4) inches. Write an expression to represent the perimeter of the rectangle. Then find the value of x if the perimeter is 94 inches.
Answers
2 (3x+6) + 2 (2x+4)=94
6x+12+4x+8=94
10x+20=94
10x=74
X=74/10
X=37/5
The figure is made by attaching semicircles to each side of an 11-ft-by-11-ft
square. Find the area enclosed by the figure. Use 3.14 for pi
Answers
Answer:
A=1164.62
Step-by-step explanation:
First you find the radius:
11*11=121
121=2*(22/7)*r
121=44/7*r
19.25=r
Then to find the area you:
A=22/7(19.25) to the 2 power
A=1164.62
Rectangle is graphed in the coordinate plane. The following are the vertices of the rectang A(- 2, 2), B(6, 2), C(6, 3) and D(- 2, 3) . What is the area of rectangle ABCD?
Answers
Answer:
Adenosine triphosphate
Answer:
The area of the rectangle ABCD will be 8 sq. units.
Step-by-step explanation:
The rectangle shape ABCD has vertices A(- 2,2), B(6,2), C(6,3) and D(- 2,3).
Presently, length of side AB = [6 - (- 2)] = 8 units.
{Since the line AB is corresponding to the x-pivot, so the length of the portion AB will be the contrast between the x-directions of the focuses An and B}
Once more, line BC is corresponding to y-pivot and thus the length BC = (3 - 2) = 1 units.
Subsequently, the space of the square shape ABCD will be (8 × 1) = 8 sq. units. (Answer)
Duncan ran 26.2 miles in 4 hours 10 minutes. At this rate, rounded to the nearest tenth, how long did it take Duncan to run each mile?
Answers
Answer:
Time taken for cover 1 miles = 0.16 hour (Approx.)
Step-by-step explanation:
Given:
Total distance cover by Duncan = 26.2 miles
Time taken by Duncan = 4 hours 10 minutes
Find:
Time taken for cover 1 miles
Computation:
Time taken by Duncan = 4 hours 10 minutes
Time taken by Duncan = 4 + 0.167 hour
Time taken by Duncan = 4.167 hour
Speed = Distance / Time
Speed = 26.2 / 4.167
Speed = 6.28 miles/hour (Approx.)
So,
Time taken for cover 1 miles = 1/6.28
Time taken for cover 1 miles = 0.16 hour (Approx.)
In how many ways can 21 be expressed as the sum of 3 prime numbers?
Answers
Answer:
I think by using a prime factor tree
Which players' hit totals would you use to find the range?
Answers
Answer:
17. a 18. c 19. d 20. b
Step-by-step explanation:
Hello, for the first question, you just take the person with the largest number and the person with the smallest number. Kenny (5) and Sammy (0).
For question 18, you just add up all the numbers like this:
0+1+3+5+4+1+1+2+1= 18
And then you divide it by the number of people there which is 9:
18/9=2
For question 19, you arrange all the numbers from least to greatest like this:
0,1,1,1,1,2,3,4,5
And then you count on both ends until it meets the middle. 1 is the middle.
For the last question, you just find the number that appears the most, which is one.
server F, working 7 hours offers to join the group of five servers sharing their workload. If server F joins will the mean number of hours worked increase or decrease
Answers
(-5,0) with a rotation of 90° counterclockwise
Answers
Answer:
(0,-5)
Step-by-step explanation:
flipping axises casuses the points to flip
The slope of the line below is 3. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.
(-1,1)
-5
5
-5
Answers
Answer:
The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the point is given by [tex](x_0,y_0)[/tex] and m is the slope.
The slope of the line below is 3.
This means that [tex]m = 3[/tex]
(-1,1)
This means that [tex]x_0 = -1, y_0 = 1[/tex].
Equation of the line:
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 1 = m(x - (-1))[/tex]
[tex]y - 1 = m(x + 1)[/tex]
The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]
