Answer:
Both X and Y are equal to 15 multiply by the square root of 2.....(i just do not know how to type the symbol on my keyboard)
Step-by-step explanation:
So for X:
X=30 sin 45
=15 multiply by the square root of 2
For Y:
Y=30 cos 45
=15 multiply by the square root of 2
But you could also use theorem of Pythagoras
Answer:
The time will be 25 minutes in which snowball be completely melted.
Step-by-step explanation:
Given : The rate of change of the volume of a snowball that is melting is proportional to the surface area of the snowball. Suppose the snowball is perfectly spherical.
Then the volume (in centimeters cubed) of a ball of radius r centimeters is
The surface area is
Set up the differential equation for how r is changing. Then, suppose that at time t = 0 minutes, the radius is 10 centimeters. After 5 minutes, the radius is 8 centimeters.
To find : At what time t will the snowball be completely melted?
Solution :
Using given condition,
....(1)
Substitute in (1),
Now, t=0 , r=10
So,
i.e.
After 5 minutes, t=5 , r=8
The equation form is
The snowball be completely melted means radius became zero.
The time will be 25 minutes in which snowball be completely melted.
The tank is filling at
the rate of (58-36) in/(5-3 h) = 22/2 = 11 in/h.
72-58 = 14 inches more
to fill
<span>
The remaining 14 inches will be filled in
14 /11 = 1.27 , round to 1.3 hours</span>
so total time
would be 5 +1.3 = 6.3 hours