Answer:
3 km
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Filling in the given information, we can solve for the length.
1/4 = L·(1/12)
Multiplying by 12, we see that ...
3 = L
The array is 3 kilometers long.
3.625 is the answer. Enjoy!
—1/4, 0, 0.14, 1/4, 1, 1.4
Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Answer: Option b.
Step-by-step explanation:
First, you need to calculate the ratio of the area. This is:
You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:
Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is: