Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if the plane is going 75 miles per hour and the body of the plane makes an9° angle with the horizontal.

Answers

Answer 1

Answer:

The component form of the vector that represents the velocity of the airplane is [tex](74.1 i , \ 11.73j)\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

[tex]V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph[/tex]

The horizontal component of the velocity is given by;

[tex]V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph[/tex]

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

[tex](V_x , \ V_y) = (74.1 , \ 11.73)\ mph[/tex]


Related Questions

please help me on this i am struggling

Answers

Answer:

1. 128=x

2.37=x

3. 55=x

4. 15=x

5. 76=x

Step-by-step explanation:

1. 128 (vertical angles are equal to each other)
2. 55 (the sum of the angles has to be 90 degrees because is perpendicular 55+35=90)
3. 2x+1=75
-1 -1
2x=74
2 2
X=37
(Vertical lines equal to each other that’s why I did this 2x+1=75)

5. 76 (because perpendicular and has to add 90 degrees 76+14=90)

6. 63 ( because a straight line = 180 degrees
117+63=180)
7. 21 ( because is perpendicular and has to add 90 degrees 69+21=90)

8. 49 (because is perpendicular and has to add 90 degrees 49+41=90)

9. 5x+110=180
-110 -110
5x=70
5 5
X=14
(Because straight line has to add to 180 degrees that’s why I did this 5x+110=180)

10. 53 (because straight line has to add to 180 degrees 127+53=180)

Hope that helps and you understand now :)

Solve the equation. If the equation is an identity or if it has no solution, write identity or no solution.

1) 7n + 5 − 9n = 8 − 2n − 3
2) 4(t + 2) = 10
3) 4y+2=−13(8−12y)

Answers

1) Identity
2) 1/2
3) 53/76

Please help!!
Write the equation of the line passing through (2,3) and perpendicular to y = 2/3 x + 7.

Answers

Answer:

y = 2/3x

Step-by-step explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

3 = 3 + b

subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

y = 2/3x

Leah bought 8/9 of a pound of grapes. She is putting the grapes into bags that each hold 2/9 of a pound. How many bags will Leah need?

Answers

Answer:2+2=4

Step-by-step explanation:bc I different

Choose the statement that is correct about the word “GIGGLING”

Answers

Answer:

e

Step-by-step explanation:

e

Answer:

Giggling is laughing..?

Step-by-step explanation:

i wish i can help but i dont know what the answer choices are..

The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20?

$_____

PLEASE HELP

Answers

14.45 times 0.20 = 2.89
14.45 - 2.89 = $11.56 after sale
$20 - $11.56 = $8.44 in change

Rico represents the inequality Negative 3 (StartFraction 8 over x minus 5 EndFraction greater-than negative 16) with the sentence "The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16." Which describes Rico's error?

Answers

Answer:

B

Step-by-step explanation:

Answer:

the option for ur question is b

What is the range of the function graphed below ?

Answers

Answer:

C

Step-by-step explanation:

I counted by recording all the numbers nd steps

Answer:

C

Step-by-step explanation:

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answers

Answer:

16. 3/817. 1/818. 5/1819. 020. 1

Step-by-step explanation:

As per the spinner we have:

Green = 1/2 - 1/16 = 7/16Red = 1/4Purple = 1/8Orange, blue, yellow = 1/16

16. P(red, yellow, blue) = ?

P = 1/4 + 1/16 + 1/16 = 3/8

17. P(orange, yellow) = ?

P = 1/16 + 1/16 = 1/8

18. P(green, blue, purple) = ?

P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8

19. P(pink) = ?

P = 0 as no pink section

20. P(red, orange, yellow, green, blue, purple) = ?

P = 1 as all possible colors selected

Alto's dove 9 meters below the ocean's surface. She then dove 15 meters deeperShe then rose 19 1/4 meters. What was her position in realtion to the surface of water?

Answers

Answer:

Alto was 4.75 meters under the water, or -4.75.

Step-by-step explanation:

Alto dove 9 meters and then 15 meters. We can add those two which is 24 meters. Then she rose 19 and 1/4, so we have to subtract that from 24.

I hope this helped, and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

Which point represents the approximate location of √23?
A) point A
B) point B
C) point C
D) point D

Answers

Answer:

A

Step-by-step explanation:

√23 is 4.795

So point A

Segment AB is the diameter of circle M. The coordinates of A are (1,6). The coordinates of M are (-3, 8). What are the coordinates of B
1) (-7,10)
2) (5,4)
3) (-1,7)
4) (-2,1)

Answers

Step-by-step explanation:

Let the midpoint formula be expressed as;

M(X,Y) = {x2+x1/2, y2+y1/2}

X = x2+x1/2

Y = y2+y1/2

Get x2

-3 = x2 + 1/2

-6 = x2 + 1

x2 = -6-1

x2 = -7

Get y2;

Y = y2+y1/2

8 = y2+6/2

16 = y2+6

Y2 = 16-6

y2 = 10

hence the coordinate of B is (-7, 10). Option A is correct

Thomas is going to flip an unfair coin 2 times. Each coin flip is independent, and the probability that the coin flips
heads is 20% each time.

Please tell me the possible outcomes, thank you.

Answers

Answer:

Step-by-step explanation:

The probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are four possible outcomes when flipping an unfair coin twice, since each coin flip has two possible outcomes (heads or tails).

We can use H to represent heads and T to represent tails.

The possible outcomes are:

HH (both flips are heads)

HT (first flip is heads, second flip is tails)

TH (first flip is tails, second flip is heads)

TT (both flips are tails)

Each of these outcomes has a certain probability associated with it.

Since the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

Hence, the probability of flipping heads is 20% (or 0.2), the probability of flipping tails is 80% (or 0.8).

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

whats the square root of 19



25 points and branist for the first person to answer right =))

Answers

Answer:

4.4 otherwise that there isn't one

Answer:

4.35889894354

Select all that apply.
The figures below are not similar because
the corresponding angles are congruent
the corresponding sides are not proportional
the corresponding sides are proportional
they are not the same shape

Answers

I think b and d sorry if I am wrong

The two given figures are not similar because they are not the same shape. Option D is correct.

Given that,
A figure of two shapes has been shown, we have to discuss why the two shapes are not similar,

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
The two shapes are not similar because one is square and the other is a rectangle, There is why both are not the same shape, because they are cyclic and regular shapes their corresponding angles are congruent.

Thus, the two given figures are not similar because they are not the same shape. Option D is correct.

Learn more about congruent geometry here.

https://brainly.com/question/12413243

#SPJ2

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

a. y=

b. y=
I really need this pls

Answers

Answer:

Step-by-step explanation:

ummm so it doesnt have a y axis...

i think it should be

y=4x which is the parallel

and y= -1/4x which is perpendicular, it doesnt really pass through (4,3) so ot sure what ur teacher wants really

sammi used his past health history and information by his doctor visits to create this table to compare health cost with and without insurance what is the expected value of each option

Answers

Answer:

W/O insurance: 235.50

with insurance: 1597.94

Step-by-step explanation:

Weighted Average:

annual premium 1      $1,580.00 $0

single doctor visit 0.3      $7.50        $105

two doctor visits 0.18      $9.00        $126

medication        0.06      $1.44         $5

                              $1,597.94 $235.50

here are 5 cards: 2,5,7,8,9. one of the cards is removed and then mean average is 6. which card was removed

Answers

Answer:

9 would be removed i believe

Step-by-step explanation:

The card 7 should be remove.

Explain:
Assuming X is the total of 4 cards
X/4=6 => X=24
2+5+8+9=24
=> (2+5+8+9)/4=6

I need someone to pls pls help me on these

Answers

Answer: add my intagram Its_yo_boy_Jonathan65

Step-by-step explanation:

Skylar mowed 16 lawns in 12 hours. What was her rate of mowing in lawns per hour?

Answers

16 / 12 = 1.3333
Answer: she mowed 1 1/3 lawns per hour.

brainliest answer to whoever verifies this correctly!!

Answers

Answer:

that looks right

Step-by-step explanation:

Which of the following phrases translates to the expression yn
seven more than a number
the product of a number and seven
a number decreased by seven
a number divided by seven

Answers

Answer Hope this helps ^_^ Diamond is the name

Seven more than a number

Step-by-step explanation:

More than means + that number after the term. Because +7 comes after y, +7 is more than.

What would be the measure of segment FH?

Answers

60 degrees because it is an equilateral triangle. Hope this helps and pls give thanks!!

how to write decimal numbers 4.980

Answers

What do you mean? You wrote a decimal number?

Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS

Given the relation y = –4x2 – 8, if the input is 2, what is the output?

Answers

Answer:

y = -24

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

y = -4x² - 8

x = 2

Step 2: Solve

Substitute:                   y = -4(2)² - 8Evaluate:                      y = -4(4) - 8Multiply:                       y = -16 - 8Subtract:                      y = -24

Answer:

Given, input (x) is 2,

[tex]y = -4x^2 - 8\\y = -4(2)^2 - 8\\y = -4(4) - 8\\y = -16 - 8\\y = -24[/tex]

Output (y) is 24

The cost of planting a garden can be calculated by using the linear function 100=5v+4h, where v represents the number of vegetables and h represents the number of herbs. If the gardener chooses 5 herbs how many vegetables can they choose?​

Answers

Answer:

Step-by-step explanation:

v

=

4

h

5

+

20

The formula for electrical power, \displaystyle PP , is \displaystyle P=I^{2}RP=I 2 R , where \displaystyle II is current and \displaystyle RR is resistance. The formula for \displaystyle II in terms of \displaystyle PP and \displaystyle RR is:

Answers

Answer:

I = √(P/R)

Step-by-step explanation:

Given the formula for electric power, we want to rewrite the formula in terms of I

What this means is that we want to make I the subject of the formula;

From ;

P = I^2R

I^2 = P/R

I = √(P/R)

Consider 8x2 - 48x = -104.

Write the equation so that

a = 1: x2 + x =

Answers

x= 6+√-16/2

or

x= 6-√-16/2

Answer:

-6 and -13

Step-by-step explanation:

Divide both sides by 8

-48/8

and

-104/8

Jade's car used 2 gallons to travel 46 miles. How many gallons of gas would she need to travel 207 miles?

Answers

Answer:

9 gallons

Step-by-step explanation:

2/46 = 0.04347826086 gallon per mile

0.04347826086 x 207 miles =

9 gallons

If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?

Answers

Answer:

$42.60

Step-by-step explanation:

change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60

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