Answer:
The distance is minimized 22 minutes after 3:00 pm.
Step-by-step explanation:
Let t is the time for the 2 boats after 3:00 pm, we have the distance of:
- Boat 1: 20t
- Boat 2: 15t and its distance to the dock is given by (15-15t)
The paths of the boats form a right triangle, in which the hypotenuse (also the distance between the two boats) is:
D = (20t)² + (15 - 15t)²
<=> dD/dt = -2(15² )( 1-t ) +2 × 20² × t
<=> dD/dt = 2 (15² + 20²) × t -2 ( 15 )² = 0
<=> t = 2 ( 15 )² : 2 (15² + 20²)
<=> t = 0.36 hours = 0.36 × 60 = 21.6 minutes ≈ 22 minutes
Therefore, the distance is minimized 22 minutes after 3:00 pm.
I think it is called the thousands place or at least that is what my 4th grade teacher told me.
Each numbers (except 0) to zero power are equal 1. So
assuming
Answer:
4b(2a-3)
Step-by-step explanation:
factorize by using hcf
Given that,
No of cups of Apple juice = 10
No of cups of Orange juice = 16
Solution,
The ratio of Apple juice to the Orange juice will be :
....(1)
For equivalent fraction, multiply both numerator and denominator by 2 such that,
Dividing both numerator and denominator 2 such that,
So, the required ratio is 5/8.
