Answer:
D(L)/dt = 407,6 m/s
Step-by-step explanation:
Let call A the intersection point.
As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right triangle, and distance between them is the hypotenuse (L), then
L² = x² + y²
Taking derivatives with respect to time we have:
2*L* D(L)/dt = 2*x *D(x)/dt + 2*y* D(y)/dt (1)
In this equation we know: At a certain time
x = 444 m and D(x)/dt = 10 m/s
y = 333 m and D(y)/dt = 666 m/s
And L = √(x)² + (y)² ⇒ L = √ (444)² +( 333)² ⇒ L = √197136 + 110889
L = √308025
L = 555 m
Thn plugin these values in euatn (1) we get
2* 555 * D(L)/dt (m) = 2* 444* 10 + 2*333*666 (m*m/s)
D(L)/dt = ( 4440 + 221778)/555 (m/s)
D(L)/dt = 407,6 m/s
Answer:
$72
Step-by-step explanation:
5 gallons = $18
x 4 x 4
20 gallons = 72 dollars
Answer:
1333.333 miles
Step-by-step explanation:
Let x = distance covered in 1 day.
Given the following data;
Distance = 800 miles
Time = 3 days
<em>In 1 day he would cover;</em>
1 day = x miles
3 day = 800 miles
800 = 3x
x = 800/3
x = 266. 667
In 5 days;
5x = 5 * 266.667 = 1333.333 miles
Or
Let x = distance in 5 days.
Distance in miles = time in days
800 miles = 3 days
x miles = 5 days
Cross multiplying, we have;
3x = 800 * 5
x = 4000/3
x = 1333.333 miles
<em>Therefore, in 5 days Ken would drive 1333.333 miles. </em>
Answer:
the person above me is correct
Step-by-step explanation: