I really need help on this math problem, pls anyone that can help?!

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E

To find the ground speed of the plane, we need to know what a vector is

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E

Learn more about ground speed of plane and direction here:

https://brainly.com/question/11861018

#SPJ1

Answer:

A on edge 2022

Step-by-step explanation:

323 kph and 22 E

Answer:

r = 1.6

Step-by-step explanation:

given r varies directly with m² and inversely as n then the equation relating them is

r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation

to find k use the condition r = 18 when m = 6 and n = 4 , then

18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

72 = 36k ( divide both sides by 36 )

2 = k

r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation

when m = 2 and n = 5 , then

r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6

Answer:

57 miles.

Step-by-step explanation:

to find

⇒ total number of miles dana ran

given

⇒ monday = 10.2 miles

⇒ tuesday = 11.4 miles

⇒ wednesday and thursday =  11.8 miles

⇒ friday = 12.3 miles

∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3

⇒ 57.5

⇒ 57 miles

Answer:

  P = 6x +4

Step-by-step explanation:

Use the given values in the formula for the perimeter of a rectangle:

  P = 2(L +W)

__

You have ...

  L = 2x +4

  W = x -2

So, the perimeter is ...

  P = 2((2x +4) +(x -2)) = 2(3x +2)

  P = 6x +4

The perimeter of the rectangle is 6x+4.

The enlargement or a reduction in the dimensions of a building would cause a change in the scale factor is defined below:

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

A dilation is a transformation that enlarges or reduces a figure in size. This means that the pre image and image are similar and are either reduced or enlarged using a scale factor.

As seen in the graphics below. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image.

If the scale factor is between 0 and 1 the image is a reduction.

Using dilation scale factors, we can shrink or expand a figure to the size we desire, knowing that each angle is congruent, each segment is proportional, the slope of each segment is maintained, and the perimeter of the pre image and image have the same scale factor.

Hence, this is how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

Learn more about scale factor here:

https://brainly.com/question/22312172

#SPJ1

Step-by-step explanation:

so......im not certain about my solution,but this is what I think

f(x)=3x-2

replace f(x) with the latter Y

so its gonna be...y=3x-2

make x subject of the fomula

so is gonna be...y=3x-2

y-2=3x

Answer:

2/3 x 9=99+25x7(78)gxw/98

Step-by-step explanation:

Answer:

you should take the time and study

Step-by-step explanation:

Answer:

the number of chicken sandwiches = 9

Step-by-step explanation:

let x be the number of chicken sandwiches 

    y be the number of tuna sandwiches

We have to solve this system:

[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]

Answer:

[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]

Step-by-step explanation:

the mean in period 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

the mean in period 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

Answer:

Number 1 could be -x.

I don't know the answer to number 2.

Number 3 is the same as 1.

Step-by-step explanation:

sorry. i probably would know the answer if i remembered.

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Translate into an algebraic equation:-

The quotient of a number and 5.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

✳︎ First, the word "quotient" indicates that we divide.

Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.

So the quotient of d and 5 looks as follows:-

[tex]\bold{\dfrac{f}{5}}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

[tex]x=\frac{\pi }{4}[/tex]

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

[tex]x=\frac{\pi }{2}[/tex]

but we want to sin(2x) = 1/2 so we make it.

[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]

Answer:

432326

Step-by-step explanation:

i just times them together

Answer:

that should be 432,326

Step-by-step explanation:

I do not rly know how to the calculator on this app properly yet but I will try my best to explain it

×6973

62

3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13

and you get this first

13946

and you also multiply your 6 by all the numbers above giving you

41838

so you arrange it like this and get

13946

41838

and you add it together giving you

432,326.

and the third picture should be your answer.

Answer:

Step-by-step explanation:

8ab = 4a × (2b)

12a² = 4a × (3a)

Then

LCM(8ab , 12a²) = 4a × (2b) × (3a)

                          = (4×2×3) × (a×a×b)

                          = (24) × (a²×b)

                          = 24a²b

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

Answer:

Midpoint(10,5)

Step-by-step explanation:

 To find the midpoints add the x-coordinates and divide that by 2 & add the y-coordinates and divide by 2

            [tex]\boxed{\text{\bf midpoint=$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$}}[/tex]

                               [tex]\sf = \left(\dfrac{4+16}{2},\dfrac{10+0}{2}\right)\\\\=\left(\dfrac{20}{2},\dfrac{10}{2}\right)\\\\= \left(10,5\right)[/tex]

Answer:

6x - 5 = 8x + 2

or -5-2 = 8x-6x

or -7 = 2x

or -7 / 2 = x

this is correct answer because in fraction form if one number is negative whole fraction is negative

Hey there!

IF YOUR EQUATION IS:

6x - 5 = 8x + 2
THEN:

SUBTRACT 8x to BOTH SIDES

6x - 5 - 8x = 8x + 2 - 8x

SIMPLIFY IT!

-2x - 5 = 2

ADD 5 to BOTH SIDES

-2x - 5 + 5 = 2 + 5

SIMPLIFY IT!
-2x = 2 + 5

-2x = 7

DIVIDE -2 to BOTH SIDES

-2x/-2 = 7/-2

SIMPLIFY IT!
x = -7/2

The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

It might be 235.62

Step-by-step explanation:

Answer:

[tex]235.6\ cm^3[/tex]

Step-by-step explanation:

Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]

[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]

The unfilled volume inside the cylinder is 640π cubic units

Volume of a cylinder = πr²h

= π × 8² × 15

= π × 64 × 15

= 960π cubic unit

Volume of a cone = 1/3πr²√l² × r²

= 1/3 × π × 8² √17² × 8²

= 1/3 × π × 64 √289 × 64

= 1/3 × π × 64 √353

= 320π cubic unit

Unfilled volume = 960π cubic unit - 320π cubic unit

= 640 cubic unit

The complete question:

A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

Learn more about volume:

https://brainly.com/question/3780563

#SPJ4

Answer:

640pi

Step-by-step explanation:

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

Answer:

$175

Step-by-step explanation:

Original Price = $140

Mark up (% increase) = 25%

Selling Price = Original Price (1 + Mark up)

Answer:1200

Step-by-step explanation:i might be wrong pls dont hurt me