Given that the subway stations are 930 m apart, the train have to be accerelated for half the distance and then decerelated for the rest of the distance.
Recall that the distance travelled by an object with an initial velocity, u, for a period of time, t, at an accereration, a, is given by
But, we assume that the train accelerates from rest, thus
The maximum speed is attained at half the center of the distance between subway stations (i.e. at distance = 465 m).
Thus, maximum speed = distance / time = 465 / 23.12 = 20.11 m/s.
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer: Rebate applied AFTER the discount
Step-by-step explanation:
Because the rebate value stays the same no matter what, but the discount doesn't.
Answer:
I got eleven 5 dollar bills and and I got 3 ten dollar bills
Step-by-step explanation:
what i did was start out with 85/5, then that was 17 so I started minusing 2 fives to = 1 ten so 15 5's and 1, 10 then so forth 13 5 dollar bills and 2 10 dollar bills, 11 5 dollar bills and 3 ten dollar bills. y=-2x+17
Answer:
The amount of money raised
Step-by-step explanation:
The amount of basket balls depends on the money rasied and is therefore dependant, that leaves the money, which is completely independent.
