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LiRa [457]
2 years ago
11

A jet plane traveling at 550 mph overtakes a propeller plane traveling at 200 mph that had a 4 hour head start. How far from the

starting point are the planes?
Mathematics
1 answer:
Orlov [11]2 years ago
8 0
The plane traveling 200 mph, started 4 hours earlier.

As at when they meet, let the 550 mph, have traveled for x hours.

The 200 mph would have traveled (x + 4) hours, since it started 4 hours earlier.

As at when they met, the distance covered is the same:

Distance = Speed * hour

550x = 200(x + 4)

550x = 200x + 200*4

550x = 200x + 800

550x - 200x = 800

350x = 800

x = 800/350

x = 16/7 hours.

The distance travelled = 550x = 550 * 16/7 = 8800/7 miles

The distance = 8800 / 7 miles  or ≈ 1257.14 miles

Hope this explains it.
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name the lengths of the sides of three rectangles with a perimeter of 12 units use only whole numbers
AysviL [449]
The perimeter of a rectangle is 2(w+l)
We can find the lengths by setting the equation equal to 12.
12=2(w+l)
12÷2=(2(w+l))÷2
6=w+l
6=1+5
6=2+4
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These are the lengths of the sides of three rectangles with a perimeter of 12 units.
You're probably wondering why the third one has two of the same number, because that's usually how the lengths of sides of squares are, not rectangles.
Well, there's this wonderful thing about the rules of shapes.
<em>Squares ARE rectangles.
</em>Because they follow the rules for a rectangle, squares are also classified as rectangles.
So, the rectangle side lengths are as follows:
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8 0
3 years ago
A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/
otez555 [7]

Answer:

The instantaneous velocity after eight seconds is 9 m/s

Step-by-step explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) = 10 + 5t + \frac{1}{4}t^{2}

Now, The instantaneous velocity after 8 sec = \frac{\partial h(t)}{\partial t}

Or, The instantaneous velocity = \frac{\partial (10 +5t + \frac{1}{4}t^{2})}{\partial t}

or, The instantaneous velocity = 5 + \frac{1}{4}\times 2 t

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s  Answer

3 0
3 years ago
A triangle has sides with lengths of 2x - 7, 5x - 3, and 2x - 2. What is the perimeter
alex41 [277]
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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
This equation shows how the cost of a charity gala depends on the number of attendees. d = 5.1a + 11.6 The variable a represents
aleksandr82 [10.1K]

$98.30=5.1a+11.6
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5 0
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