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
Solve the following inequality 4(3-3x)+4x>20
Answers
Answer:
x<-1
Step-by-step explanation:
How do you do this question?
Answers
Answer:
Diverges
Step-by-step explanation:
3/(4ⁿ) = 3 (¼)ⁿ is a geometric series with r = ¼, which converges.
7/n is a harmonic series, which diverges.
The sum of a convergent series and a divergent series is divergent.
A race car can complete 8 laps in
1
3
hour. At this rate, how many hours will it take the race car to complete 1 lap?
Answers
Answer: It take 6.66 min to complete one lap.
1. Un arquitecto construirá una casa de interés social en un área rectangular de 52 m². El
frente será el ancho de la casa y el largo será dos veces el ancho.
a.
Traza una figura geométrica que represente el terreno
b.
¿Cuál es la variable con la que representarías el ancho?
Answers
Answer:
Definamos:
A = Ancho
L = Largo.
Sabemos que el área es rectangular, y para un rectángulo de ancho A y largo L, el área es:
Área = A*L.
Y sabemos que L = 2*A.
a) Una imagen se encuentra abajo.
b) Como podemos escribir la variable L en términos de la variable A, podemos escribir:
Área = A*L = A*(2*A) = 2*A^2
Entonces la variable que usamos es el ancho.
Ahora podemos resolver el problema:
52m^2 = 2*A^2
52m^2/2 = 26m^2 = A^2
A = √(26m^2) = 5.1 m
Entonces el largo es:
L = 2*A = 2*5.1m = 10.2 m
m_ZBC =2x+8, m_ABC=21x-5,
and m ABZ=139° Find m ABC.
to
z
B
Answers
Answer:
163°
Step-by-step explanation:
Assuming that BZ is a ray inside angle ABC:
2x+8+139=21x-5
8+139+5=21x-2x
152=19x
8=x
m<ABC=21x-5=
21(8)-5=
168-5=
163
15/16 pi radians in degrees
Answers
Answer:
960 degrees
Step-by-step explanation:
16pi/3 times 180/pi
16/3 times 180
16 times 60= 960
hope this helps!!
Answer:
168
Step-by-step explanation:
e2020
What is the point slope form of (8,5) and (3,4)?
Answers
Answer:
(-2,-4) or (2,4) depending on which one you start on.
Step-by-step explanation:
if you start from the highest point it is (-2,-4)
And if you start from the lowest point (2,4)
Find the value of A, B and C, given that 2z^2 + z + C = A (z+1)^2 + B (z+1) + 4 for all values of z. Please show the step by step process. :)
Answers
2z² + z + C = A (z + 1)² + B (z + 1) + 4
Expand the right side completely and collect terms with the same power of z :
2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4
2z² + z + C = Az² + 2Az + A + Bz + B + 4
2z² + z + C = Az² + (2A + B)z + A + B + 4
Now match up terms on either side that have the same power of z. This gives
2 = A ................. (2nd power)
1 = 2A + B ......... (1st power)
C = A + B + 4 .... (0th power)
Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get
1 = 2*2 + B
B = -3
and in the third equation we get
C = 2 + (-3) + 4
C = 3
which expression is equivalent to -1/2(3- 2/5)
A. -3/2 - 1/5
B. -3/2 + 1/5
C. -3 1/2 - 1/5
D. -3 1/2 + 1/5
Answers
Answer: -3 1/2 - 1/5
What is (2n-9)-5(-2.4n+4)?
Answers
Rewrite 11/40 as a decimal number
Answers
Answer:0.275
Step-by-step explanation:
Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.
Answers
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
[tex]k = \frac{33}{3}[/tex]
[tex]k = 11[/tex]
Condition 3: The relationship included origin: (0, 0).
Three minus twice a number x is greater than fifty-five. Write an inequality to represent this statement.
Answers
Answer:
2x - 3 > 55
Step-by-step explanation:
the answer is above
Evaluate this expression then round your answer to two decimal places: 7^4÷7^6=
Answers
7^6=117648
2401/117648=0.02040834
or simplyed 0.02
hope that helps!
There was a green house. Inside the green house there was a white house. Inside the white house there was a red house. Inside the red house there were lots of babies. What is it?
Answers
Answer:
A watermelon my woman
Step-by-step explanation:
What is the distance from point Yto wx in the figure below?
w
36 Z 15 X
39
152
y
A. Cannot be determined
B. 153
C. 15.2
D. 15
E. 3
O F. 7.5
Answers
Answer:15
Step-by-step explanation:
Tami takes the MCAT because she plans to apply to Medical School, and Vu takes the LSAT because he plans to apply to Law School. Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points. Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. If Tami earns 524.2 points on the MCAT and Vu earns 171.1 points on the LSAT, who performed better on their respective test?
a. Tami
b. Vu
c. Both Tami and Vu performed equally well.
d. It's impossible to compare scores on two totally different tests, so this question cannot be answered.
Answers
Answer:
c. Both Tami and Vu performed equally well.
Step-by-step explanation:
To solve this question, we use z score
The formula for calculating a z-score is is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation.
a) For Tami , who took MCAT
We are told:
Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.
x = 524.2 points
μ = 505.6 points
σ = 9.3 points
z = 524.2 - 505.6/9.3
= 2
The z score for Tami is 2
For Vu, who took LSAT
We were told:
Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.
x = 171.1 points
μ = 150.7 points
σ = 10.2 points
z = 171.1 - 150.7/10.2
z = 2
The z score for Vu is also equal to 2
Therefore, we can say the bout Tami and Vu performed equally well.
Option c is the correct answer.
whats the decimal of -3 13/20
Answers
Step-by-step explanation:
-3 13/20
-3 65/100
-3 0.65
= -3.65
2. Rewrite 326 in scientific notation.
O 32.6 x 101
O 3.26 x 102
O 0.326 x 103
Answers
Answer:
3.26 x 102
Step-by-step explanation:
10 squared is 100
3.26 x 100 = 326 because you move the decimal to the right 2 spots
Within six (6) weeks, four (4) colleagues in your department will make an important project. After the project, they were given Php100,000.00 as prize. Give the following amount of contribution each of their member exerted in making the project. How should the prize be divided to the members?
• Member A has made 25% of the total project.
• Member B has made 40% of the total project.
• Member C has made 25% of the total project.
• Member D has made 10% of the total project.
and why did you come up with your decision?
Answers
Answer:
The prize is p100,000.00, and we can define this as the 100%.
Now, we could say:
"Each member receives the same percentage of the price as the total percentage of the project that he/she did"
Then:
Member A did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
We can solve this system for X as:
X = (25%/100%)*p100,000.00 = p25,000.00
Now we can use the samme aproach for the other members:
Member B did 40% of the total project:
Then he gets an amount X.
X = 40%
p100,000.00 = 100%
X = (40%/100%)*p100,000.00 = p40,000.00
Member C did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
X = (25%/100%)*p100,000.00 = p25,000.00
Member D did 10% of the total project.
Then he gets an amount X.
X = 10%
p100,000.00 = 100%
X = (10%/100%)*p100,000.00 = p10,000.00
Now, we also could divide the price evenly between the four members:
p100,000.00/4 = p25,000.00
So they all get the same amount, but i think that the actual solution to this problem is the other one.
Select each transformation that carries a square onto itself.
A
A rotation of 180 degrees clockwise about one of the square's vertices.
B
A rotation of 90 degrees clockwise about the square's center.
C
A reflection over one of the square's sides.
D
A rotation of 180 degrees clockwise about the square's center.
E
A reflection over one of the square's diagonals.
Answers
Answer: E B D
Step-by-step explanation: I did a test
Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:
A rotation of 90 degrees clockwise about the square's center. A rotation of 180 degrees clockwise about the square's center. A reflection over one of the square's diagonals.For the square to carry itself onto itself, it must either be rotated or reflected.
For reflection:
It must be reflected across any of its diagonalFor rotations:
It must be rotated through its center, around multiples of 90 degrees (i.e. 90, 180, 270, 360.....)Hence, the correct options are: B, D and E
Read more about transformations at:
https://brainly.com/question/11709244
will give brainliest ! 15 points please help <3
Answers
Answer:
1. C
2. G, H
3. A, H
4. x=-4.5
5. B, D, F, G
Step-by-step explanation:
pls Mark Brainliest
pls help me what’s the answer
Answers
Answer:
D infinity
Step-by-step explanation:
As x approaches negative infinity, the graph is going up indefinitely, so y approaches infinity.
help help thanks and PLEASE
Answers
Answer:
ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7
Step-by-step explanation:
Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps
A monkey is swinging from a tree. On each swing, she travels along an arc that is 75%, percent as long as the previous swing's arc.
Answers
Answer:
The Total length of the first swing=64 m.
Step-by-step explanation:
Troy is building a ramp for his toy cars. The plank he is using for the ramp us 5ft long and is placed in a 3ft high box how far from the box is the bottom edge of Troy’s ramp in feet?
Answers
Answer:
Step-by-step explanation:
35
During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.
Answers
Answer:
Constant of proportionality; k = 20/3
Step-by-step explanation:
Let running be A and sprinting be B.
Now, we are told that you run 20 seconds for every 3 seconds you sprint.
This means that is directly proportional to B and written as; A ∝ B.
Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.
Thus, A = kB
Where k is the constant of proportionality
Plugging in the values of A and B we are given, we have;
20 = 3k
Divide both sides by 3 to get;
k = 20/3
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answers
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
Chris wants to make ½ a batch of chocolate chip muffins. He has a recipe that calls for ¾ cup chocolate chips. If he only wants to make half a batch, then how many cups of chocolate chips should he put in?
Answers
Answer:
ge needs to use 6 tablespoon of chocolate chips
6.25w= -106.25 equals what
plz hurry!
Answers
Answer: w = -17
Plzz mark brainliest:)
W= -17 hope this helped have a great day let me know if you need help on anything else and please mark me brainliest!