Answer:
Both the boats will closet together at 2:21:36 pm.
Step-by-step explanation:
Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).
Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),
Formula : d=v*t
at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)
the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)
Formula : D=
⇒ 
Now let 
∵ 
⇒ t= 450/1250
⇒ t= .36 hours
⇒ = 21 min 36 sec
Since F"(t)=0,
∴ This time gives us a minimum.
Thus, The two boats will closet together at 2:21:36 pm.
Step-by-step explanation:
2x²+3x-2=0
(2x-1)(x+2)
x+2=0
x=-2 (no, because x must be >0)
2x-1=0
2x=1
x=½ (yes, because x>0)
Answer:
D
Step-by-step explanation:
the question not give enough explanation and clue
We know that the pole is perpendicular to the ground
And that the length of the pole is 20 feet tall, and the base is 15 feet
Now, the guy wire is a wire that provides support to the pole by connecting the top of the pole to the ground
So this represents a right angled triangle (refer image), and the hypotenuse is the length of the guy wire
Using Pythagoras theorem, we can find out the length of the hypotenuse
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ Hypotenuse² = 20² + 15²
⇒ Hypotenuse² = 400+225
⇒ Hypotenuse² = 625
⇒ Hypotenuse = √625
⇒ Hypotenuse = 25
Hence, the correct option is B 25 ft.
Answer:
175 mL
Step-by-step explanation:
(a) Convert the mass of the cat to kilograms
1 kg = 2.20 lb
Mass = 8 lb × (1 kg/2.20 lb)
= 3.64 kg
(b) Calculate the hourly volume
V = 3.64 kg × (2 mL/1 kg)
= 7.27 mL
(c) Calculate the daily volume
V = 24 h × (7.27 mL/1 h)
= 175 mL
