I need to see the equations to answer the question
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: X= 4
Step-by-step explanation:
24+0.44x=19+1.69x exp equation like:
24+44x/100=19+169x/100
Multiply left and right side of equation with 100
2400+44x=1900+169x
2400-1900=169x-44x
500=125x
x=500/125
x=4
Answer:
The answer is 452.16 cm³.
Formula to calculate the volume of cone = V = πr²x h/3
Now r = 6 cm and h = 12cm, and value of π = 3.14
By putting the values,
V = (3.14) (6)² (12/3) = (3.14)(36)(4)
