Answer:
Train A is faster by a factor of 1.01
Step-by-step explanation:
Given:
Train A:
Distance = 175 Miles
Time = 4 Hours
Train B:
y=43.5x
To Find:
which train travels at a faster rate in by what factor =?
Solution:
The speed of the train A = 
The speed of train A =
The speed of train A = 43.75 miles per hour
Speed of the train B is the slope of the given line
The standard equation of the slope of the line is
y = mx+b
where m is the slope
and we are given with
y = 43.5x
So comparing with the standard equation
m = 43.5
Hence the speed of train B is 43.5 miles per hours
Train A travels faster
rate =1.01
54•2=108
36•1=36
108+36=144
14•6=84
144-88=$56
Answer is $56.00
Answer:
An ISOSCELES TRIANGLE
Step-by-step explanation:
Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.
Distance between two points is expressed as:
D = √(x2-x1)²+(y2-y1)²
For side |AB|:
A(-5, 4) and B(4, 1)
|AB| = √(4-(-5))²+(1-4)²
|AB| = √9²+3²
|AB| = √90
For side |BC|
B(4, 1), and C(1, -8)
|BC| =√(1-4)²+(-8-1)²
|BC| = √3²+9²
|BC| = √90
For side |AC|:
A(-5, 4) and C(1, -8).
|AC| = √(1-(-5))²+(-8-4)²
|AC| = √6²+12²
|AC| = √36+144
|AC| = √180
Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.
Answer:
S = 2 pi (3) squared + 2 pi (3) (14)
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The cylinder has two circular bases with radius 3 cm, so their combined area in square centimeters is ...
A = 2π(3²) . . . . . . matches a term in the last choice
__
The lateral area of the cylinder is the product of the height and the circumference of the base. That is ...
A = 2πrh
For the given radius and height, the lateral area in square centimeters is ...
A = 2π(3)(14) . . . . . . matches a term in the last choice
__
The total surface area is the sum of the areas of the bases and the lateral area, so is ...
S = 2π(3²) +2π(3)(14) . . . . . matches the last choice
_____
<em>Comment on answer choices</em>
We could choose the correct answer based solely on the area of the bases of the cylinder.
