The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot point the plane in order to fly straight W?

Answers

Answer 1

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

The Wind Is Blowing N 35.0 Degrees W At 1.60 * 10^2 Mph. A Plane Has An Engine Speed Of 3.20 * 10^2 Mph.

Related Questions

David completed 12 math problems in 6 minutes. At this rate, how long will it take him to complete 50 math problems ? P

Please help I’ll mark you as brainliest if correct

Answers

Answer:

25 minutes...

Step-by-step explanation:

This is because if he can complete 12 math problems in 6 minutes when u simplify that u get 2 problems done per minute so that would make 50 problems done in 25 minutes

David take 25 minutes to complete 50 math problems.

What is unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

David completed 12 math problems in 6 minutes.

So, he will solve one math problem in= 6/12 = 1/2 minutes

Now, to complete 50 math problem he needs

=50 x 1/2

=50/2

=25 minutes

Hence, David take 25 minutes to complete 50 math problems.

Learn more about unitary method here:

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What is the y-intercept of the function y= -1/2cos(3/2x)

Answers

Answer: (0,-1/2)

Step-by-step explanation:

Edge :-)

Answer: (0,-1/2)

Step-by-step explanation:

Write a real-world scenario that would fit the given ratio: 4:7

Answers

Answer:

4/7

Step-by-step explanation:

Answer:

You go to a pumpkin patch and for every 4 pumpkins your mom sees,you see 7

Step-by-step explanation:

A rectangle has an area of 3/2 square yards. If the width of the rectangle is 1/2 yard, which statement is true?

Answers

Answer:

i believe it is 1/2 yard

Step-by-step explanation:

Find the value of x.

Answers

Answer:

27=x

Step-by-step explanation:

Although it looks slanted, it is an 90 degree angle. Let's make an equation.

90= 55+x+8

90=   63+x

-63     -63

27=x

hope this helps!

Answer:

27

Step-by-step explanation:

180-90=90

90-55=35

35=x+8

X=27

Helpppppppppppp ppppp:/

Answers

Answer:

18

Step-by-step explanation:

I hope this helps

Situation: The No Doze Cafe sells Pumpkin Spice Lattes for $3 and Caramel Hot Apple Cider for $2. On a cool autumn morning, the shop sold 5 more Ciders than Lattes and made $25.
Define x and y variables and write the equation/s.

Answers

X is lattes y is ciders
3x+2y=25
y-x=5
y=5+x

3x+2(5+x)=25
3x+10+2x=25
5X=15
X=3

Y=3+5=8

6.333 x 10^2 standard form

MY BAD!

Answers

Answer:

633.3

Step-by-step explanation:

En un grupo de bachillerato, que tiene 50 alumnos hay 15 mujeres, ¿Cual es la razon de hombres a mujeres en el salón?

Answers

Answer:

7:3

Step-by-step explanation:

En un grupo de secundaria, que tiene 50 estudiantes, hay 15 mujeres.

Eso significa que el número de hombres = 50 - 15 mujeres

= 35 hombres

Por lo tanto, la proporción de hombres y mujeres en el aula es:

35 hombres: 15 mujeres

7: 3

what is the value of the 2 in 0.812 as a fraction.

Answers

Answer:

[tex]\frac{1}{500}[/tex]

Step-by-step explanation:

0.002 is in the thousandths place. Therefore, [tex]\frac{2}{1000}[/tex] is simplified to [tex]\frac{1}{500}[/tex].

The ratio of boys to girls in ms Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the total number of students in her class?

Answers

Answer:

30 students

Step-by-step explanation:

you have a ratio, and an unknown amount, so set up a proportion

[tex]\frac{2}{3} = \frac{x}{18}[/tex] I used x because the amount of boys is unknown

so then, cross multiply

(so do 3 times x, and 2 times 18)

[tex]3x=36[/tex]

then divide both sides by 3 to get x by itself, and you get

[tex]x=12[/tex]

this means there are 12 boys in the class. because the problem is asking for the total number of students, add 12 and 18 (the number of boys and girls).

you get 30, so there are 30 students in her class.

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? (1 point)

Answers

Answer:

2

Step-by-step explanation:

first write out the expression

(2 ^ 2)×(2^3)/(2^4)

using bodmas we deal with the division sign first as well as using the laws of indices. Thus we have

(2^2)×(2^[3-4])

= (2^2)×(2^-1)

=(2^[2+(-1)])

= (2^(2-1))

= (2^1)

= 2

Is 3/4 a repeating decimal

Answers

Answer:

No.

Step-by-step explanation:

3/4 = 0.75

Answer: non-repeating

Step-by-step explanation:

Your ship accidentally left an alien stranded at your starting location.
How does the slope of this line compare with the slope of the line from the origin to the point (1, 4)?

They are the same.
They are opposites of each other.
They are reciprocals of each other.
The second line has no slope.

Answers

Answer:

they are the same

Step-by-step explanation:

Answer:

They are the same got it right on edg

Step-by-step explanation:

Anyone willing to answer this?

Answers

Answer:

D:he deposits $10 per week

Step-by-step explanation:

Lin ran 2 3/4 miles in 2/5 of an hour. Noah ran 8 2/3 miles in 4/3 of an hour. How long would it take Lin and Noah to run 1 mile at that rate?

Answers

We want to see how long it will take for Lin and Noah to run 1 mile. We will see that:

Lin runs 1 mile in (8/55) hoursNoah runs 1 mile in (2/13) hours.

So we know that:

Lin runs (2 + 3/4) miles in 2/5 hours.Noah runs (8 + 2/3) miles in 4/3 hours.

The time in which they run a single mile is given by the quotient between the time and the distance.

For Lin we have:

[tex]T = \frac{2/5 }{2 + 3/4} h/mi = \frac{2/5}{11/4} h/mi = \frac{2*4}{5*11} h/mi = \frac{8}{55} h/mi[/tex]

So Lin runs a mile in (8/55) hours

For Noah we have:

[tex]T = \frac{4/3}{8 + 2/3} h/mi = \frac{4/3}{26/3} h/mi = \frac{4}{26} mi/h = \frac{2}{13} h/mi[/tex]

Noah runs 1 mile in (2/13) hours.

If you want to learn more, you can read:

https://brainly.com/question/22610586

Melanie placed 5 packs of fruit squishes in a picnic basket. Find the
weight (in ounces) of all the packs, if each pack weighs 15.75 ounces

Answers

Answer:

Your answer is 78.75 oz.

Step-by-step explanation:

15.75 * 5 = 78.5 oz.

Hope this helps.

Answer:

78.75 oz

Step-by-step explanation:

okay I'm not sure, but I think the question is each pack weighs 15.75 how many does it weigh in all like all 5 packs if so all you have to do is do multiplication 15.75 and 5  (15.75 to represent what each pack weigh) ( and 5 to represent each pack)   to get the answer of 78.75 in total.

hope i helped

HELP
Figure EFGH is transformed to E'F'G'H, as shown:
Which of the following sequences of transformations is used to obtain figure E'F'G'H and EFGH​

Answers

Answer:

It would be C. Hope this helps

Which fees are associated with checking accounts and online banking? Select all that apply.

1. Upfront fees.
2. Lost card fees.
3. Interest fees.
4. ATM fees.
5. Inactivity fees.
6. Retainer fees.

Answers

Answer:

I know that upfront fees, inactivity fees, and ATM fees are associated with online banking and checking accounts

Step-by-step explanation:

what is the value of 5/6 ÷ 3/4

Answers

Answer:

1 and 1/9 The answer is C

Step-by-step explanation:

At a grocery store, the price of 3 cans of soul is 6.90.
At this rate, how much would 10 cans of soup cost ?

Answers

First divide 3 into $6.90 and then times that answer by 10 and there u go

Answer: answer is $23

Step-by-step explanation:

first divide 6.90 by 3

and you should get 2.3

Then you multiply 2.3 by 10

and you should get $23

Solve. Check your answer.
16 = x

2

Answers

answer: 8 = x

explanation: 16 divided by 2 is 8

NEED HELP PLEASE !

Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram's diagonals form eight congruent angles at the vertices.

Answers

B but can we see a pic

In a square, opposite sides are parallel, all sides are equal, and the angles made by the diagonals are equal, that is 45°.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

In a rectangle, opposite sides are parallel and equal, but the angles made by the diagonals are different.

In a rhombus, opposite sides are parallel and all sides are equal, but the angles made by the diagonals are different.

In a square, opposite sides are parallel, all sides are equal, and the angles made by the diagonals are equal, that is 45°.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

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Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,



HURRY PLEASE

Answers

Answer:

B

Step-by-step explanation:

Option B best displays/showcases the equation of 6x = 4x +18

Jenny has a rectangular poster. The poster is 1.6 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer.

Answers

Answer:

1.92 m^2

Step-by-step explanation:

1.6 m x 1.2 m

1.92 m^2

To determine the temperature in Fahrenheit, multiply the Celsius temperature by 1.8 then add 32. Determine the Celsius temperature if it is 89°F outside. Round your answer to the nearest hundredth.

Answers

Answer: 31.67 C

Step-by-step explanation:

89 = 1.8c +32

57=1.8c

c=31.6666667 or 31.67

1) Convince Me!
Suppose each section of the
theater has only 45 seats.
How many sections would be
needed to seat 428 people?

Answers

10 sections would be needed to seat 428 people.


Explanation: 428/45= 9.5. Rounded would be 10.

Which comparison is NOT true?
F 3.375 > 3.275
G 6.875 < 6.9
H 2.65 > 2.675
J 7.675 < 7.75

Answers

Answer:

H is NOT True.

Step-by-step explanation:

5 is not greater than 7.

Answer:

no 3 is the answer

Step-by-step explanation:

iam not sure

Wendy walks 2 miles in 22 minutes. She continues to walk at the same rate. How many minutes will it take her to walk 11 miles? Use a double number line to support your answer.

Answers

Answer:

121 minutes

Step-by-step explanation:

First, we divide the time by the miles

22 ÷ 2 = 11

So now that we have the unit rate, 1 mile for every 11 minutes, we can multiply 11 (the unit rate minutes) by 11 (the given miles she wants to reach)

11 x 11 = 121

So, in 121 minutes, Wendy can walk 11 miles.

(the double number line will look something like this, but going all the way until 121:11)

If the CPI changes from 121 to 124 between December 2018 and December 2019, the:
deflation rate for 2019 is 2.4%
inflation rate for 2019 is 4.2%.
inflation rate for 2019 is 2.5%.
deflation rate for 2019 is 3%.

Answers

Answer:

Inflation rate for 2019 is 2.5%

Step-by-step explanation:

(124/121) - 1 = 1.02479 - 1 = .02479

Change 0.02479 to percent by multiplying 100 = 2.479%

Round this up to 2.5%

Since the value is increasing from 121 in 2018 to 124 in 2019, this is an inflation.

Answer:

jus 2 ez pz broski lemon squeze

Step-by-step explanation:

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