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Vlad [161]
3 years ago
6

Need help quick!! Cant figure this out

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

Step-by-step explanation:

Physically speaking, average speed (\bar v), measured in miles per hour, is the distance travelled (\Delta s), measured in miles, divided by time (\Delta t), measured in hours. That is:

\bar v = \frac{\Delta s}{\Delta t} (1)

The time needed by the vehicle is:

\Delta t = 72\,min\times \frac{1\,h}{60\,min}

\Delta t = 1.2\,h

If we know that \Delta s = 143\,mi and \Delta t = 1.2\,h, then the average velocity of the car is:

\bar v = \frac{143\,mi}{1.2\,h}

\bar v = 119.167\,\frac{m}{s}

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

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6 ft.<br> 12 ft.<br> 8 ft.<br> The area of this irregular<br> figure is<br> -sq. ft.<br> 16 ft.
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Answer:

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A triangle has a perimeter of 90 centimeters write and use a linear system
lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90   --------------equation(1)

Second equation would be

m = 5n-5        --------------equation(2)

Third equation would be

l = 5/4 m - n   --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.


5 0
3 years ago
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