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A plane flies from NY to Chicago, which is about 700 miles, at a speed of 330 mph. How long does the flight take? On a return tr

sashaice [31]

Answer:

Flight takes 2.12 hrs from NY to chicago

The tailwind speed was x = 143.4 mph

Step-by-step explanation:

Given:-

- The distance from NY to Chicago, d = 700 miles

- The speed of plane, vo = 330 mph

- The speed of tailwind = x

- The total time for round trip T = 3.7 hrs

Find:-

How long does the flight take?

how fast is the tailwind?

Solution:-

- The total time "T" of the round-trip consists of time taken "t1" for journey from NY to Chicago and time taken "t2" from Chicago to NY.

- Time taken from NY to Chicago (t1) = d / vo

= 700 / 330

= 2.1212 hrs

- Whereas, the time time taken (t2) on return journey from Chicago to NY with the help of tailwind with speed x was:

- Time taken from Chicago to NY (t2) = d / (vo+x)

- The total time taken for round-trip = T

- We will sum individual times "t1" and "t2" and equate to "T"

2.1212 + 700 / ( 300 + x ) = 3.7

- Re-arrange and solve for x:

700 = (3.7 - 2.1212)*(300 + x )

700 = 473.6364 + 1.5788x

x = 226.3636/1.5788

x = 143.38 mph

4 0

4 years ago

Which side lengths form a right triangle 30 POINTS!! I DONT HAVE MUCH TIME

Virty [35]

Answer:

To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.

When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:

5² + 12² = 25 + 144 = 169

13² = 169

So the answer is B

4 0

3 years ago

Read 2 more answers

Write the inequality represents the verbal expression-<br> All real numbers less than 69

Lorico [155]

Let be M the set of the real numbers less thant 69

so we write it as follow M = { x∈R / x ∠ 69}

7 0

3 years ago

Does anyone know this? If you do can you please help me?

gladu [14]

Answer:

-2x > 30
x < -15

Step-by-step explanation:

A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...

-2x

You want that product greater than 30. The symbol for "greater than" is >, so you have ...

-2x > 30 . . . . the desired inequality

__

The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."

x < 30/(-2)

x < -15 . . . . . . the desired solution

_____

<em>Additional comment</em>

It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.

Consider ...

1 < 2

-1 > -2

5 0

3 years ago

trigonometry is a field of mathematics that studies the relationships that exist between the sides of a triangle and its angles.

never [62]

Some periodic motions, also known as armonic motions, with which much of us are familiar with are:

- The motion of the swinger when a kid is balancing forward and backward

- The motion of a pendulum

- The motion of the needles of a watch.

- The motion of a satelite around a planet.

- The spinning of the wheel of a stationary bycicle.

- A rocking chair

All the motions in which the object passes once and other times through the same point are periodic motions.

Both scientists and businesses are interested in tracking periodic motions using equations because they appear in many situations in nature and in daily life. The cycles are examples of periodic motion. By tracking this type of motion you can make models that permit you to explain the phenomena and predict cycles. This is predict facts that repeast with a certain period.

3 0

4 years ago