1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly_w [17]
3 years ago
13

A round trip flight from Seattle, Washington to Orlando, Florida is one of the longest flights in the continental United States.

Due to the jet stream that blows from west to east, a plane flying nonstop from Seattle to Orlando flies at an average speed of 523 miles per hour. The same plane flying from Orlando to Seattle travels at an average of 415 miles per hour. The full round trip takes exactly 11 hours. How far is Seattle from Orlando, to the nearest mile?
Mathematics
2 answers:
ch4aika [34]3 years ago
6 0
Time out =  d/so = d/523
time back = d/sb = d/415

t = time out + time back
11 = d/523 + d/415 find common deneminator
11 = (415d + 523d)/(523*415)
11*523*415 = 415d + 523d
2387495 = 938d
d = 2545 miles 

hope this help
Artemon [7]3 years ago
5 0

Answer:

Distance between Seattle to Orlando to the nearest mile = 2545 miles

Step-by-step explanation:

Let the distance between Seattle and Orlando be d.

Due to the jet stream that blows from west to east, a plane flying nonstop from Seattle to Orlando flies at an average speed of 523 miles per hour.

\texttt{Time taken from Seattle to Orlando =}\frac{d}{523}

The same plane flying from Orlando to Seattle travels at an average of 415 miles per hour.

\texttt{Time taken from Orlando to Seattle =}\frac{d}{415}

The full round trip takes exactly 11 hours.

Total time taken is given by

                \frac{d}{523}+\frac{d}{415}=11\\\\\frac{415d+523d}{415\times 523}=11\\\\938d=2387495\\\\d=2545.30miles\\\\d\approx 2545miles

Distance between Seattle to Orlando to the nearest mile = 2545 miles

               

You might be interested in
Why are there so many moose attacks
boyakko [2]

Answer:

Moose attacks spike in September and October which is mating season, and early Spring also due to young calves being raised. Many moose attacks on humans are actually provoked from dogs. Moose hate dogs and wolves, and become extremely aggressive by their presence, especially at a dog that barks.

7 0
3 years ago
Read 2 more answers
Please help due today!
Scrat [10]

Answer:

Polygon, quadrilateral, convex, and equilateral.

Step-by-step explanation:

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bcot%20%5Calpha%20%7D%7B1%20%2B%20cot%20%5Calpha%20%7D%20%20%3D%20%20%5Cfrac%7B1%7
strojnjashka [21]
Im not sure what its asking.. whats the question?
8 0
2 years ago
On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of paralle
Ad libitum [116K]

Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of \overline {TU} = The length of \overline {SR} = √((2 - (-4))² + (6 - 4)²) = 2·√10

The height of a parallelogram is perpendicular to its base length = The line \overline {VT}

∴ Where, the slope of the base length = m, the slope of the height = -1/m

The slope, 'm' of \overline {SR} = (6 - 4)/(2 - (-4)) = 1/3

Therefore, the slope of the height = -1/(1/3) = -3

We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;

y - 0 = -3·(x - 0)

∴ y = -3·x

Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of \overline {SR} and \overline {VT}

The equation of the line \overline {SR} in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;

y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)

y = x/3 + 4/3 + 4 = x/3 + 16/3

y = x/3 + 16/3

We then have the coordinate at the point 'V' (x, y) is given as follows;

-3·x = x/3 + 16/3

-9·x = x + 16

-10·x = 16

x = -16/10 = -1.6

x = -1.6

∴ y = -3·x = -3 × -1.6 = -4.8

y = 4.8

The coordinate at the point, V = (-1.6, 4.8)

The length of the line \overline {VT} = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10

The height of the parallelogram = 8/5·√10

The area of the parallelogram, A = Base length × Height

∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

The area of the parallelogram, A =  32 square units.

6 0
3 years ago
Read 2 more answers
Find the prime factorization of 15
Anton [14]
The prime factorization of 15 is  1 * 3 * 5
8 0
3 years ago
Read 2 more answers
Other questions:
  • Line m passes through the points (-4,3) and (-4,7). What is the slope of the line that is parallel to line m?
    5·2 answers
  • Simplify (-6)^-3 and explain
    15·2 answers
  • Find the following rates. Round your answer to the nearest hundredth. a. ? % of 75 = 5 b. ? % of 28 = 140 c. ? % of 100 = 40 d.
    5·1 answer
  • Bryant’s pool contains 13,000 gallons of water.
    9·1 answer
  • Use words to name four point seven​
    9·2 answers
  • Which of the following statements about taxes is false?
    8·1 answer
  • ( − 35 − 42 − 63 ) ∶ ( + 7 )
    8·1 answer
  • The total bill for breakfast was $81.30. The group of friends
    11·1 answer
  • john has 8 pencils. tim has 2 less pencils than john. which expression shows how many pencils tim has?
    9·2 answers
  • I need help with this please
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!