It is important to notice firs of all that the train with no stop acceleration and them no stop acceleration would have a faster travel between stops. given this is safe to assume that there is a period during while the train is not accelerating nor decelerating. To find the time that is speed is constant
let's assume non-stop accelerating and decelerating and the time lost (subtraction of both) is the time the train had constant speed:
assuming same time accelerating a decelerating we have that the distance is
x = voT + 1/2aT^2 (initiial speed = 0) (0.25 miles = 1320 feets)
1320 = 1/2 (8)(T/2)^2
T/2 = 18.17 seg
T = 36.34 seg
time of constant speed
T = 41 -36.34 = 4.66 seg
maximum speed
v = v0 + aT (initial speed = 0)
v = 8(18.17) (time accelerating)
v = 145.36 feets/sec
distance at full speed
x = v*t
x = 145.36*4.66 = 677.38 feets
Answer: Let x = the measure of the larger arc and
let y = the measure of the smaller arc which is closest to the angle’s vertex. We know that x + y = 180 because that is given.
The secant-secant angle has a measure that is half the difference of the intercepts arcs. That means (1/2)(x - y) = 32 for this problem
We just need to solve the system
x + y = 180 and x - y = 64
Adding the equations you get 2x = 244 so x = 122 degrees and y = 58 degrees
Step-by-step explanation:
Answer:
The length of each blue trim is 17.2 inches
Step-by-step explanation:
Given
See attachment for banner
Required
The length of each blue trim
Since all 4 triangles are equal, then the dimension of 1 triangle is:
The hypotenuse (x) of the triangle blue trim is represented by the blue trim
So:
This gives
Take square root
Answer:
3. -10
4. 5
5. -4
6. 24
7. 0
8. 46
9. -1
10. 42
11. -4
12. -26
13. 30
14. -5
<em>When an equation says something like </em><em>23 - (-23) </em><em>then you actually add them together because you multiply the inside by </em><em>-1</em><em> to get </em><em>23 + 23</em>
Answer:
B(x) = 2x + 3
Step-by-step explanation:
Given:
Amount used = 3 GB (constant term)
Additional amount for each stream = 2 GB (slope)
Total bandwidth used for x streams
B(x) = 2x + 3
