Answer:
a)
0.8 hours
b)
1.1 kilometers/min
Step-by-step explanation:
a)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = 60 kilometers per hour
t = time taken for the train to travel from town A to town B
Time taken is given as
t = D/v
inserting the values
t = 45/60
t = 0.8 hours
b)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = ?
t = time taken for the train to travel from town A to town B = 40 minutes
Speed of the train is given as
v = D/t
inserting the values
v = 45/40
v = 1.1 kilometers/min
Answer:
The value of cos 0 = - 2 sqrt(85) / 85 = - 0.216930458
Step-by-step explanation:
cos 0 = ?
Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9
cos 0 = x/r
r=sqrt(x^2+y^2)
Replacing the known values:
r=sqrt( (-2)^2+(9)^2)
r=sqrt(4+81)
r=sqrt(85)
cos 0 = x/r
cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458
Rationalizing:
cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]
cos 0 = - 2 sqrt(85) / [sqrt(85)]^2
cos 0 = - 2 sqrt(85) / 85
Polynomial Degree: 8
Leading term : 5x 8
Leading coefficients:5
Hopefully you get it right :) .
Answer: (r-1)(r^2+r+1)(2r^3+13)
Answer:
2.5
Step-by-step explanation:
A triangle ABC with vertices A(0, 0), B(0, 4), and C(6, 0) is dilated to form a triangle A'B'C' with vertices A′(0, 0), B′(0, 10), and C′(15, 0). If the center of dilation is point A or A' (the origin), then
Since
- AB=4;
- A'B'=10;
- AC=6;
- A'C'=15,
then the scale factor of the dilation is
