The answer is the parallel line to one of a triangle.
The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.
The angle B has tangent, tan (B) = 2 / 3
The angle C, has tangent, tan (C) = 3 / 2
Then, the answer is option C, tan C
Answer:
2m/s² ; - 2m/s²
25m ; 50m ; 25m
6.67 m/s²
Step-by-step explanation:
The acceleration and deceleration :
Both rates are the Same from the graph ;
According to scenario described, acceleration = 2m/s²
Deceleration occurred in equal time interval = - 2m/s
Distance covered during each stage:
Stage 1 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Stage 2: area of rectangle :
Length * breadth = 5 * 10 = 50 m
Stage 3 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Average Velocity :
Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s
A) 1000/239 = 4.something
Ms. Ferguson could book the room for 4 nights
B) 6 x 239 = 1434
1450/1434 = 1.01
Ms Ferguson was off by 1%
C) 2075/1589 = 1.3058
The price increase was by 31%
D) 2075/1.3 = 1596.153
The price that was found was $1596.15
Defining C(n,r) as the number of combinations (order does not count) to choose r objects from n, where C(n,r)=n!/(r!(n-r)!)
there are
C(58,3) ways to choose 3 from 58 republicans,
and
C(39,2) ways to choose 2 from 39 democrats.
So the committee has
(C(58,3)*(C(39,2)) variants, or
58!/(3!55!) * 39!/(2!37!)
=30856*741
=22864296
