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: 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)
Related Questions
1) Convince Me!
Suppose each section of the
theater has only 45 seats.
How many sections would be
needed to seat 428 people?
Answers
Explanation: 428/45= 9.5. Rounded would be 10.
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:
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
Anyone willing to answer this?
Answers
Answer:
D:he deposits $10 per week
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
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
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:
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
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
Helpppppppppppp ppppp:/
Answers
Answer:
18
Step-by-step explanation:
I hope this helps
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:
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)
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 value of 5/6 ÷ 3/4
Answers
Answer:
1 and 1/9 The answer is C
Step-by-step explanation:
6.333 x 10^2 standard form
MY BAD!
Answers
Answer:
633.3
Step-by-step explanation:
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
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
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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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:
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:
Solve. Check your answer.
16 = x
—
2
Answers
explanation: 16 divided by 2 is 8
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
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
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:
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].
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:
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
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
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.
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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
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