A velocity vector has a magnitude of 137 miles per hour and a direction angle of 235º.

What is the y-component of the vector?

Answers

Answer 1

9514 1404 393

Answer:

CW from north: -78.58 mphCCW from +x: -112.2 mph

Step-by-step explanation:

A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.

If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.

We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.

__

If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...

  (x, y) = 137(cos(235°), sin(235°))

  (x, y) = (-78.58, -112.22)

The y-component is -112.22 miles per hour.

__

If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.

  (x, y) = (-112.22, -78.58)

The y-component is -78.58 miles per hour.

_____

Additional comment

We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.


Related Questions

Somebody please help!

Answers

Answer:

57 7/9

Step-by-step explanation:

I used a fraction calculator.

Once a day for seven days, Melanie recorded the temperature in °F) of a stream near her home. Which box plot correctly shows
Melanie's data?

A)
B)
C)
D)

Answers

Answer:

minimim is 31

1st quartile is 42

median is 50

3rd quartile is 55

maximum is 62

Step-by-step explanation:

couldn't read the plots but these are the data for it:

minimim is 31

1st quartile is 42

median is 50

3rd quartile is 55

maximum is 62

Answer:

B

Step-by-step explanation:

bc i used it cornball

For a certain class, the ratio of the number of female students to the total number of students is 2 to 5. If
there are 35 students in the class, how many are female students?

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

If 2/5 of the 35 students are female, their number is ...

  (2/5)(35) = 14

There are 14 female students.

Emilio has 7 boxes. Each box weight 3/4 kilograms. Whatvis the total weight

Answers

Answer:

Step-by-step explanation:

 (7 boxes)*(0.75 kg/box) = 9 1/3 kg  

Question :-

Emilio has 7 boxes. Each box weight 3/4 kilograms. What is the total weight?

____________________

Solution :-

Given Information :-

Number of boxes Emilio has ➢ 7 boxes Weight of each box ➢ [tex]\sf \frac{3}{4}\small \: Kg [/tex] each

To Find :-

The total weight of the boxes.

Concept Used :-

We will simply multiply the weight of each box with the number of boxes, the product will be the total weight of all the boxes, which Emilio has.

Calculation :-

Weight of each box × Number of boxes = Total Weight of all the boxes

Substituting the values, We get,

⇒ [tex]\sf \frac{3}{4}\small \: Kg \times 7[/tex]

Calculating further, We get,

⇒ [tex]\sf 5.25 \: Kg [/tex]

Total Weight of all the boxes is 5.25 Kg

____________________

Final Answer :-

The total weight of 7 boxes Emilio has is 5.25 Kg.

____________________

I will give Brainliest
Please help me find the answer

Answers

Answer:

in the first traingle

sinC = 36/39 = 12/13

CosC= 15/39 = 5/13

TanA= 15/36=5/12

this is the values i didnt understand the question so i just find the values

in the second Triangle

SinA=2√5/5

CosA=√5/5

TanB= √5/2√5=1/2

cos 30 = √3/2

sin45=√2/2

tan60= √3

hopefully its helpful iam sorry i didnt understand what they mean in the question my engilish is bad

Sin of c. Sin'-1(36/39)=90

Cos of c cos'-1(15/39)=67.38

Tan of a tan'-1(15/36)=22.62

Sin of a sin'-1(2squarroot5/5)=63.43

Cos od a cos'-1(squareroot5/5)=63.43

Tan of b tan'-1(2squareroot5/squareroot5)=63.43

Cos30 is pie/6 or squareroot of 3 /2

Sin of 45 is pie/4 or squareroot2/2

Tan60 is pie/3 or squareroot3

Giovanni orders a pastry from the bakery. The price of the pastry before tax is $4.50.
Giovanni wants to know the total price including a 10% sales tax.

Answers

Answer:
4.95

Step-by-step explanation:
You take the 4.50 and multiply it by 1.10 and it equals 4.95. Also I did it and I got it right.

Answer:

We all have the same I ready's lol

Anyway, i did it and, The CORRECT answer is:

$4.95

Pleaseeee helppppp!!

Answers

Answer:

60.4

Step-by-step explanation:

90-29.6= 60.4

complimentary means either of two angles whose sum is 90°.

Match the values with the statistical measures for these data points. 34,37,39,32,48,45,53,62,58,61,60,41

Answers

Answer:

I do not know the full answer, But I do know this;

Maximum: 62

Minimum: 32

Step-by-step explanation:

Five times a number is 80 less than 7 times the number. Find the number.

Answers

I think its 16 but im not completly sure

Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.

Answers

The father is 74 while the son is 47.

For the given condition the age of the son will be 69 years.

What is the equation?

A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.

Suppose the two-digit number is x,

The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,

(10x+y) -(10y+x)=27

9x-9y=27

x-y=27/9

x-y=3

The value of x and y will be 4 and 1.

At x=9 and y=6, the age of the son is obtained as,

=10×6+9

=69 years

Thus, the age of the son will be 69 years.

Learn more about the equation here,

https://brainly.com/question/10413253

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Use
f(x)= 800 (1.32)x for 1-3
What is the intial amount?
What is the growth rate?
What is the growth factor?

Answers

So this in the exponential form of ab^x, where a is the y intercept, b is the growth factor(base) and x is your domain. From this, we can answer each question. The initial amount is 800, growth rate is 32% and factor is 1.32.


Happy learning!

A box measures 5 inches long x 9 inches x 11 inches inches high. What's it's volume in cubic inches?

Answers

Answer:

495 cbin

Step-by-step explanation:

Volume of a box = l*w*h

V=5*9*11

V=495

question 2 answer the math

Answers

Answer:

G)

Step-by-step explanation:

3% of 8000 is 240

now multiply it by 4 (years) and you get 940

point A, located at (- 11, -7) on the coordinate plane, is reflected over the x- axis to form point B. Then point B is reflected over the y-axis to form point C. What are the coordinates of points B and C?

Answers

Answer:

Point B: (_11 , 7) Point C: (11, -7)

CORRECT ME IF THERE'S WRONG!

The table shows the depths of four plants.
Order the numbers from least to greatest.

Answers

Answer:

-20 3/4, - 15 1/2, - 14 3/4, - 1/4

Step-by-step explanation:

Given the depths :

-14 3/4, - 15 1/2, - 1/4, - 20 3/4

Ordering from least to greatest :

Since the numbers are negative; arranging the numbers as it would appear on a number line ; Large whole number negative values are always the least.

-20 3/4, - 15 1/2, - 14 3/4, - 1/4

How many infinity are in 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Answers

0 Because infinity goes on forever?

The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.

Answers

Answer:

3,098

Step-by-step explanation:

when you do the ,ath you will get it

HELP IF RIGHT I WILL MARK BRAINLIEST!!!! TRUST

Answers

Answer:

I came up with 412cm^2

Step-by-step explanation:

10*12+(12*2)2+(10*2)2+6*8+(8*3)2+(6*3)2+(12*10-6*8)

Emmie rolls a dice three times. What is the probability that she will only roll numbers greater than two on all of her rolls?

Answers

12/18 or 2/3 chance simplified

Find the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm

Answers

The surface area of the given composite figure will be 384 square cm.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.

The surface area of the triangular shape will be calculated as:-

SA = 2( Area of triangle ) + Area of rectangular surfaces

SA = 2 ( (1/2) B x H )  + (5 x 6 ) + ( 6 x 3  )

SA = ( 3 x 4 ) + (  30 ) + ( 18 )

SA = 12 + 30 + 18

SA = 60 square cm

The surface area of the rectangular cuboid will be calculated as:-

SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )

SA = 24 + 120 + 180

SA  = 324 square cm

Total surface area will be = 324 + 60 = 384 square cm.

Therefore the surface area of the given composite figure will be 384 square cm.

To know more about a surface area follow

https://brainly.com/question/25292087

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Will likes two brands of healthy breakfast cereal. In Superfiber
fiber in one cup. In Fiber Oats cereal, there are 4 grams of fib
the number of cups of Superfiber Will ate this week and let yr
Fiber Oats he ate this week. Which inequality represents the s
this week contained at least 30 grams of fiber?
O 5x + 4y = 30
O 5x + 4y = 30
O 4x + 5y = 30
4x + 5y = 30

Answers

Answer:

The first one I Took the test.

Step-by-step explanation:

Which graph below has an EULER PATH?

Answers

Answer:I think it is a

Step-by-step explanation:

Answer:

Graph a) is a Euler Path

Odd at D and F

Step-by-step explanation:

A graph has an Euler circuit if and only if the degree of every vertex is even.

A graph has an Euler path if and only if there are at most two vertices with odd degree.

a) Odd at D and F - Euler Path

b) No odds - Euler Circuit

c) Odd at A, C, E, F

d) Odd at A, B, C, D

Using the figure on the left, what is the measure of
LZWY and ZZYW?
Y
N
60° + c + 90° = 180°
60°
C
cº + dº + 90° = 180°
d =
120°60°
60°
DX
w

Answers

Answer: first 30 second  is 60

Step-by-step explanation:

Answer:

30,60

Step-by-step explanation:

An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above

Answers

Answer:

the answer is b) (10.67,11.93)

Step-by-step explanation:

hope this helps

A right-angled triangle, with two sides adjacent to the right angle labeled 7 and 11 respectively, and the hypotenuse is labeled x.
Find the exact value of $x$ .

Answers

Answer:

170

c=a^2+b^2=7^2+11^2≈13.0384 or 170

Step-by-step explanation:

mrk me brainliest please

help me please, i don’t understand

Answers

Answer:

$9

Step-by-step explanation:

The linear system is going to be:

16m + 13s + 29c = $419

26m + 19s + 45c = $649

6m + 11s + 0c = $96

I don't really know why it is bringing up the determinant, all you need to do is put this into reduced row echelon form.  I personally used a calculator for this, but it could be done painstakingly by hand.

RREF gives me:

m=5

s=6

c=9

So a chocolate milkshake is $9

Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.

Answers

Answer:

84

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

(255 - 3) / (4 - 1) = 252 / 3 = 84

Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.

Answers

Answer:

Solution given:

-2x²+7x-6=0

2x²-7x+6=0

Comparing above equation with ax²+bx+c

we get

a=2

b=-7

c=6

By using Vieta's theorem

X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]

again

X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3

Does anybody have the answers to the probability and statistics unit 8 correlation and regression unit test for connections academy??
WILL MARK THE BRAINLIEST

Answers

No I don’t have the answers insert the questions on here

13. In isosceles triangle HMS, ZM is the vertex angle.

If m2M = (2x + 6)° and mZH (9x + 7)º, what

is mZM?

A. 10°

B. 22°

C. 79°

D. 80°

Answers

Answer:

B.[tex]22^{\circ}[/tex]

Step-by-step explanation:

We are given that HMS is an isosceles triangle.

Angle M is the vertex angle.

[tex]m\angle M=(2x+6)^{\circ}[/tex]

[tex]m\angle H=(9x+7)^{\circ}[/tex]

[tex]\angle H=\angle S[/tex]

By definition of isosceles triangle

We have to find the measure of angle M.

[tex]\angle M+\angle H+\angle S=180^{\circ}[/tex]

By using sum of angles of triangle property

Substitute the values

[tex]2x+6+9x+7+9x+7=180[/tex]

[tex]20x+20=180[/tex]

[tex]20x=180-20[/tex]

[tex]20x=160[/tex]

[tex]x=\frac{160}{20}=8[/tex]

Using the value of x

[tex]m\angle M=2(8)+6[/tex]

[tex]m\angle M=22^{\circ}[/tex]

Hence, option B is correct.

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