An airplane flies due west at 100mph through a 20 mph cross wind blowing from S780E
S780E . Determine the resultant velocity and direction of the airplane . (using vector) (please show work)

Answer:

4j=-4

j=-1

Step-by-step explanation:

Answer:

4j=-4  j=-1

Step-by-step explanation:

Given:

In  ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

To find:

The length of k, to the nearest inch.

Solution:

According to Law of sine,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

In ΔKLM, using law of sine, we get

[tex]\dfrac{k}{\sin K}=\dfrac{l}{\sin L}[/tex]

[tex]\dfrac{k}{\sin (55^\circ)}=\dfrac{48}{\sin (46^\circ)}[/tex]

[tex]k=\dfrac{48\times \sin (55^\circ)}{\sin (46^\circ)}[/tex]

On further simplification, we get

[tex]k=\dfrac{48\times 0.819152}{0.7193398}[/tex]

[tex]k=\dfrac{39.319296}{0.7193398}[/tex]

[tex]k=54.66025 [/tex]

Approximate the value to the nearest inch.

[tex]k\approx 55 [/tex]

Therefore, the length of k is 55 inch.

The length of k, to the nearest inch is  ∠K=55°.

Since

In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.

Now here we apply law of sine

[tex]a\div sin\A = b\div sin\ B = c\div sin\c \\\\k\div sin \ k = l\div sin\ L\\\\k\div sin\ 55 = 48\div sin\ 66[/tex]

k = 54.66

k = 55 degrees

hence, The length of k, to the nearest inch is  ∠K=55°.

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Answer:

400 points for you

Step-by-step explanation:

Answer:

B. 7 cups

Step-by-step explanation:

16+16=32

3 1/2+3 1/2=

3+3=6 1/2+1/2=1

6+1=7

Answer:

B. 7 cups

Step-by-step explanation:

31/2 cups for 16 servings.

32 servings are two 16 servings

Convert 3 1/2 to fraction 7/2 then multiply by 2

7 cups

Answer:

34

Step-by-step explanation:

15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4

Answer:

First we figure out how many words in total she has to read.

This would be the (number of pages) times (number of words per page).

820 * 350 = 287000

so she has to read 287000 words

we divide this by 110 to get how long it would take for her to finish (in minutes)

287000 / 110 = 2609.09090909....

then since there are 60 minutes in an hour, we divide that number by 60

2609.09090909... / 60 = 43.48484848...

Therefore it would take her about 43.5 hours to complete her assignment.

Step-by-step explanation:

Answer:

70m-175=6m-12

70m-6m=175-12

64m=163

m=163/64

Answer:

1) 4/35

2) 11/14

3) 5/6

Step-by-step explanation:

First find the number of selections possible.

[tex]\frac{10!}{(10-4)!4!} = 210[/tex]

There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.

[tex]4*3*2*1=24[/tex]

The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].

The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.

Find the probability for both a administrator included and three others.

[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]

[tex]\frac{165}{210} = \frac{11}{14}[/tex]

The probability for an administrator and the other three is 165/210 or 11/14.

For the last one, you will figure out what the probability is for no director and use that % to substract from 100.

4+2+1 = 7

Get selections possible.

[tex]\frac{7!}{(7-4)!4!} = 35[/tex]

Get probability of no director.

[tex]\frac{35}{210} = \frac{1}{6}[/tex]

Substract 1/6 from 100%

1 - 1/6 = 5/6

The probability of having at least one director is 5/6.

n + 5 = 2n - 6

n - 2n = -6 - 5

-n = -11

n = -11/-1

n = 11

FG = 2n - 6

FG = 2(11) - 6

FG = 22 - 6

FG = 16

Answer:A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

9 Square Meters

Step-by-step explanation:

3x3=9

Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.

Step-by-step explanation:

Answer:

Well, an infinite amount of numbers. . .

Step-by-step explanation:

1 and 2 would work

Answer:

one solution

Step-by-step explanation:

they only meet up once

get a new computer br.uh

Answer:

3.14

Step-by-step explanation:

d=2

A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

hdisbkaab

Answer:

the set of parametric equation would be x(t) = 0.25t, y = 0.43t

Step-by-step explanation:

The computation of the set of parametric equation would be

x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t

x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t

x(t) = 0.25t, y = 0.43t

Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t

The same is to be considered

The above equation represents the answer

For the entire practice:

1) B, [tex]x(t)=0.25t[/tex] and [tex]y(t)=0.43t[/tex]

2) B, 4 ft.

3) A, [tex]x=27.82[/tex], [tex]y=-4.9t^2+11.24t[/tex], horizontal distance = 63.71 m

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

Answer:

1=0.32

2=0.25

3=0.28

4=0.30

Step-by-step explanation:

You want to divide each price by the ounces.

$10.24÷32 oz = $0.32

$6.00÷ 24=$.0.25

$4.48÷16=$0.28

$2.40÷ 8=$0.30

Answer:

-5/6

Step-by-step explanation:

Multiplying numerators and denominators to get the LCD in all fraction denominators

=−7×38×3−1×83×8+3×38×3

Then rewriting the equation with the equivalent fractions

=−2124−824+924

With like denominators we can operate on just the numerators

=−21−8+924

=−2024

Simplifying the answer

=−56

Answer:

[tex]c + r \leq 10[/tex]

[tex]7.5c + 10r \geq 56[/tex]

Step-by-step explanation:

Given

Hours = not more than 10

Earnings = At least 56

Required

Represent this as a system of inequalities

Let c represents the cleaning job

Let r represents the retail job

The number of hours

Not more than means [tex]\leq 10[/tex]

So:

[tex]c + r \leq 10[/tex]

Earnings

c = 7.50 per hour

r = 10 per hour

Earnings = At least 56

At least 56 means [tex]\geq 56[/tex]

So;

[tex]7.5c + 10r \geq 56[/tex]

Hence, the system is:

[tex]c + r \leq 10[/tex]

[tex]7.5c + 10r \geq 56[/tex]

Answer 11/20

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

Write all numerators above the least common denominator

15-4/20

Subtract numbers

11/20

Answer:

you make 15 birdhouses, your friend makes 30.

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

We also know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Given the lines

1)

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6  

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 ×  - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3  

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4  

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 ×  - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2  

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6  

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3  

Comparing with y=mx+b, the slope of y =  1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

Answer:

5 divided by 8

Step-by-step explanation:

/ is another symbol for ÷

Answer:

5 divided by 8

Step-by-step explanation:

Answer:

Oooooo

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

this is the correct answer on edge people.

A sample of 10 gardenia bushes in the shade and 10 in full sun will help us determine the most representative result.

"Scientific testing involves figuring out what we would expect to observe if an idea were correct and comparing that expectation to what we actually observe.

Any aspect of the natural world could be explained in many different ways. It is the job of science to collect all those plausible explanations and to use scientific testing to filter through them, retaining ideas that are supported by the evidence and discarding the others."

Hence,

from the definition it is clear that a sample of 10 gardenia bushes in the shade and 10 in full sun.

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Answer:

$3.11

Step-by-step explanation:

It is given that,

Salvador bought 6 lbs of coffee for $18.66.

We need to find the unit price per pound.

The unit price per pound is calculated by dividing total cost by 6 as follows :

[tex]C=\dfrac{18.66}{6}\\\\=\$3.11[/tex]

Hence, the unit price per pound is $3.11