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Train A leaves New York for California at the same time Train B leaves California for New York. They are 2900 miles apart. They

professor190 [17]

Answer:

(A) 120 mph

(B) -120 mph

(C) 12 hours 5 minutes.

Step-by-step explanation:

Given that,

New York and California are 2900 miles apart,

Both the trains A as well as B travel at an average speed of 120 mph.

Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.

So, the given speed on the straight path is actually the velocity.

Assuming that the velocity is positive in the direction from New York towards California.

(A) So, the velocity of train A (towards California) = 120 mph.

(B) The velocity of train B (towards New York) = -120 mph.

(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.

When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.

So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is

$t=\frac{2900}{240}$ [as time= displacement / relative velocity]

$\Rightarrow t=12\frac{1}{12}$ hours

=12 hours 5 minutes.

7 0

3 years ago

The area of a square is 49 square meters. How long is each side?

Artemon [7]

A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).

That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².

Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:

x² = 49

Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:

√x² = √49

The √ and the ² cancel out, so you're just left with x:

x = √49

The square root of 49 is just 7, so we can replace √49 with 7, and we get:

x = 7

Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.

Therefore, your final answer is 7 metres :)

3 0

3 years ago

Find a polynomial function with real coefficients that has zeros-3, 2i

Jlenok [28]

Check google it might have it

8 0

3 years ago

Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 48 cents?

tamaranim1 [39]

This can be solved by making an equivalent ratio.
The original ratio is what we know, 15 inches of wire for 90 cents.
In a ratio of inches of wire:cents, this would be 15:90.

Now for the equivalent ratio.
We don't know the number in the inches place but we do know it for the cents place.
Let's use x to represent inches of wire.
x:48 is our new ratio, and we need to find x.

Since x:48 and 15:90 are equivalent, that means the same thing that was done to 90 to get 48 has to be done to 15 to get the value of x, since the same thing must be applied to both sides.
We can find what 90 was divided by (which is what we'll have to divide 15 by) by dividing 90 by 48.
90 / 48 = 1.875

This means 48 • 1.875 = 90 and x • 1.875 = 15.
Since we don't know x though, we can isolate it by dividing both sides by 1.875.
x • 1.875 = 15
x • 1.875 / 1.875 = x
15 / 1.875 = 8
So x is 8.

Answer:
While you can be 15 inches of wire for 90 cents, you can buy 8 inches of wire for 48 cents at the same rate.

3 0

3 years ago

Find the range of 83,70,21,48 and 116

jeka94

Answer:

The range is 95

Step-by-step explanation:

The range of a discrete data set is the difference between the least and the highest value.

The given date set is 83,70,21,48 and 116.

We sort it to get:

21,48,70,83,116

The range is 116-21=95

3 0

3 years ago

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