A rectangle’s perimeter and its area have the same numerical value. The length of the rectangle is 6. What is the width of the rectangle in units?.

The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively.

In this question we must apply vectors in rectangular form to determine the absolute velocity of an airplane. which is the sum of velocity at still air ([tex]\vec v_{A/W}[/tex]) and wind velocity ([tex]\vec v_{W}[/tex]), both in miles per hour. If we know that [tex]v_{W} = 50\,\frac{mi}{h}[/tex], [tex]\theta_{W} = 40^{\circ}[/tex], [tex]v_{A/W} = 350\,\frac{mi}{h}[/tex] and [tex]\theta_{A/W} = 100^{\circ}[/tex], then resulting velocity is:

[tex]\vec v_{A} = 50\cdot (\cos 40^{\circ}, \sin 40^{\circ}) + 350\cdot (\cos 100^{\circ}, \sin 100^{\circ})[/tex]

[tex]\vec v_{A} = (-22.474, 376.822)[/tex]

Whose magnitude ([tex]v_{A}[/tex]), in miles per hour, and direction ([tex]\theta[/tex]), in degrees, are, respectively:

[tex]v_{A} = \sqrt{(-22.474)^{2}+376.822^{2}}[/tex]

[tex]v_{A} \approx 377.492\,\frac{mi}{h}[/tex]

[tex]\theta_{A} = \tan^{-1} \left(\frac{376.822}{-22.474} \right)[/tex]

[tex]\theta_{A} \approx 93.413^{\circ}[/tex]

The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively. [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/21925479

Answer: 18.4 inches

Step-by-step explanation:

Answer:

Straight lines and Curves with tangents

Step-by-step explanation:

Simultaneous equations system

Answer:

[tex]\boxed {x = 4}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - 9 = -5[/tex]

-Add both sides by [tex]9[/tex]:

[tex]x - 9 + 9 = -5 + 9[/tex]

[tex]\boxed {x = 4}[/tex]

So, the value of [tex]x[/tex] is [tex]4[/tex].

Answer:

(6,0)

Step-by-step explanation:

reflect the graph on mirror line answer should be (6,0)

For this problem I got 1725/493 which could be converted as -3.49898...

Correct me if I'm wrong - But I believe this is right

if 55% like the movie, then 100% - 55% = 45% did not like the movie.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 200}}{\left( \cfrac{45}{100} \right)200}\implies 90[/tex]

Answer:

4

Step-by-step explanation:

Raising 50 cents by 25 cents is adding on 25 cents. 0.50 + 0.25 = 0.75

And it was 0.75 per cup so 0.75c

Answer:

1/4

unsimplified = 2/8

Step-by-step explanation:

2/8 is your answer because

you can see here that there are 8 bars that are being covered by his total sales. That means that 8 is the denominator, then, the money is going 2 more bars than 225 dollars. So if we see, then we can find out that the sales are going up till 275, and the difference of 275 and 225 is 50. And each bar over here represents a difference of 25. That means that 2/8 (1/4) of the sales are more than $225.

So hence, your answer is 1/4

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If you see someone without a smile, then give them one of yours!

so always keep more than 2 smiles

so be happy always!

Thanks!

Have a great day!

:D

Answer:

1/4

Step-by-step explanation:

From inspection of the box plot:

The left whisker (min value) to Q1 represents the bottom 25% of the data

Q1 to Q2 represents the second 25% of the data

Q2 to Q3 represents the third 25% of the data

Q3 to the right whisker (max value) represents the top 25%

Therefore, the sales of over $225 represent the top 25% of the data.  

25% represented as a fraction is 25/100 = 1/4

Answer:

Step-by-step explanation:

What is the table?

the mom cut 180 in 9 parts (4+5)

the smaller share is 180 x 4/9 = $80

Answer:

1)  3n²+11n+6

2)  2n²-4n+2

3)  4x²-9

4)  r²-2r-3

5)  4n²+8n+3

6)  3p²-6p+3

Step-by-step explanation:

FOIL

plz tell me u know how to do this

my day will be amazing todayyyyyyyyyyyy bc im getting a new phone aslkdjhfajshdf

Answer:

C- multiply by 2, divide by 3

Step-by-step explanation:

think of 12 as 12/1 then do  the multiplication, it would then be 24/3, which would be 8

Here's how to solve your equation step by step:

−21−9k=−8(6k+3)

Step 1: Simplify both sides of the equation.

−21−9k=−8(6k+3)

−21+−9k=(−8)(6k)+(−8)(3) (Distribute)

−21+−9k=−48k+−24

−9k−21=−48k−24

Step 2: Add 48k to both sides.

−9k−21+48k=−48k−24+48k

39k−21=−24

Step 3: Add 21 to both sides.

39k−21+21=−24+21

39k=−3

Step 4: Divide both sides by 39.

39k/39 = -3/39

Here's the answer: -1/13 or -0.08.

Answer:

Python :

for i in range (3, 10, 2):

print(i)

The circumference of a circle is [tex]2\pi r[/tex]

Circumference = [tex]2\pi (3) = 6\pi[/tex]

It says to leave in terms of pi which means that we won't solve [tex]6\pi[/tex]

Thus the answer is [tex]6\pi[/tex].

Hope that helped!

Answer: 20/189

Step-by-step explanation: Y is proportional to x which states that 4/63 is proportional to 3 so when x=5 then it will be 5*4/63/3=20/63/3=20/63*1/3=20/189

3/4 x 2/11 = 3/22

Step by step explanation

multiply both numerators together: 3 x 2 = 6

multiply both denominators together: 4 x 11 = 44

3 x 2 = 6                   4 x 11 = 44     = 6/44

Divide 6 by 2 and 44 by 2.

6 / 2 = 3

44 / 2 =22

thus your answer is 3/22

Hope this helps! :)

Answer:

50!!11!

Step-by-step explanation:

dividing a fraction is just like multiplying by the fraction's reciprocal~

(reciprocal is 4/3)

37.5 x 4 = 150

150 / 3 = 50

Answer:

50

Step-by-step explanation:

37 1/2 divided by 3/4 and convert to 74 divided 3/4

74/1 divided by 3/4 is

74/1 times 4/3

296/3 which equals 50

Answer: A :)

Step-by-step explanation:

Answer:

Please Specify if the chocolate chips are measured in teaspoon or tablespoon?

Step-by-step explanation:

Assuming that the chocolate chips are measured in Teaspoons

given: 20 calories= 2 teaspoons

Now we can say that 48 teaspoons= 1 cup

therefore if 2 teaspoons make 20 calories , how many does 48 teaspoons make?

(48x20)/2 = 480 calories

we can now say that 48 teaspoons =1 cup = 480 calories

3x480=1440

so, 3 cups= 1440 calories

Hope this helps! :)

Answer:

bb

Step-by-step explanation:

Answer:

should be D

Step-by-step explanation:

Step-by-step explanation:

Because there is a negative sign before parentheses.

The sign( a) is negative When multiplied by the negative before the parentheses The sign becomes negative

Hey there!

First, let's solve this maths problem:

7a-(3+8a)

Here we should use the Distributive Property and distribute -

Wait, what? Distribute a minus? Yeah! The minus sign (in this case) is the same as -1:

7a-3-8a

Now, why did the plus sign change to the minus sign?

Because a negative times a positive is a negative.

Hope everything is clear.

Let me know if you have any queries; if you do, please comment.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Answer:

Answer: The larvae of a silk moth secrete the silk thread which is used to make clothes. Honey bees produce and store honey which is nutritious food. Silkworm is a creamy white colored insect which is about 2-3 cm long and shining in nature.

Bee larvae have been shown to be an excellent food source for rearing insects

Silk worm larvae is used in extracting silk and thus help in making clothes.

Bee larvae is used in pest control.

The silkworms feed solely on large amounts of leaves from the mulberry tree for around 30-40 days

The majority of honey bee larvae eat honey, but larvae that are chosen to become future queens will be fed with royal jelly.

Answer:

0.2 km per minute

Step-by-step explanation:

if he left for home when he was 4 miles from home, at 11:40, and got home 20 minutes later then his rate of speed is 20 minutes to go 4 miles (20/4), which if you divide both numerator and denominator by 20 you get 1 minutes for 0.2 km

Answer:

9

Step-by-step explanation:

5 times 5 = 25

45 divided by 5 = 9

Answer:

[tex]BC=71\text{ units}[/tex]

Step-by-step explanation:

Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.

Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:

[tex]12x+6=90[/tex]

Solve for x. Subtract 6 from both sides and then divide by 12:

[tex]12x=84\\[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

BC is the addition of the segments BD and DC. In other words:

[tex]BC=BD+DC[/tex]

We already know the equations of BD and DC. Substitute:

[tex]BC=(5x-7)+(2x+29)[/tex]

Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:

[tex]BC=(5(7)-7)+(2(7)+29))[/tex]

Evaluate:

[tex]BC=(35-7)+(14+29)[/tex]

Evaluate:

[tex]BC=28+43=71[/tex]

Therefore, the value of BC is 71 units.

Answer:

BC = 71

Step-by-step explanation:

12x + 6 = 90

x = 7

5x - 7 + 2x + 29 = 7x + 22

7(7) + 22 = 49 + 22

49 + 22 = 71

BC = 71