1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
2 years ago
13

The graph below describes the journey of a train between two cities.

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
5 0

Answer:

[A] Acceleration in first 15 min = 200  km/h²

[B] Distance between two cities = 125 km

[C] Average Speed of journey =  62.5  km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities  

Average speed of journey

Solve:

[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                     Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Hence, Answer for [A] = 200  km/h²

[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2  = 62.5  km/hr

[RevyBreeze]

You might be interested in
Problem page three consecutive even integers have a sum of 36 . find the integers.
ANTONII [103]
3 consecutive even integers = 36 .
ANSWER 10+12+14= 36
6 0
3 years ago
A line thru (5,1) with slope of 3.
VladimirAG [237]
<span>A line thru (5,1) with slope of 3

y - 1 = 3(x - 5)
y = 3x - 15 + 1
y = 3x - 14

hope it helps</span>
7 0
3 years ago
A bag has 5 blue marbles, 3 red marbles, and 2 green marbles. We draw two marbles, one at a time, with replacement. What is the
VMariaS [17]

Answer: \frac{1}{10}

<u>Step-by-step explanation:</u>

Blue = 5, Red = 3, Green = 2, Total = 10

Probability   =  First draw    and      Second draw

                    =        \frac{5}{10}             x                 \frac{2}{10}      

                    =                      \frac{10}{100}

                    =                       \frac{1}{10}        

6 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!
marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

\angle CFE=\angle DAB

It is given that the angle DAB is 63 degree.

\angle CFE=63^{\circ}

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

BD=EC

BD=CD+DE

BD=8+10

BD=18

Therefore, the correct option is c.

4 0
3 years ago
Read 2 more answers
A 152 cm tall barrel has a circumference of 56.52.
kirill [66]

Answer:

V = 38659.68 cm^3

Step-by-step explanation:

If we pretend A barrel is a cylinder we use V=πr^2h for the volume.  We know h, but we need to find r

The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.

C = 2πr

56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14

56.52/(2*3.14) = r

9 cm = r

Now we can just plug into the volume.

V=πr^2h

V = 3.14 * 9^2 * 152

V = 38659.68 cm^3

I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.  

6 0
3 years ago
Other questions:
  • 11/12− 1/6q+5/6q−1/3
    10·1 answer
  • I don't know what to do.
    6·1 answer
  • A gardener uses 3 of a liter of water to water 7 of a garden.
    8·1 answer
  • Subtract -5x+7 from 3x-2 set up your expression show your work
    12·2 answers
  • What does 4q+2/8+8y+4/8+8q-7y equal
    12·1 answer
  • Which equation is not equivalent to the other two
    10·1 answer
  • Need help geometry question central angles and arcs !!! plss
    9·1 answer
  • Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 each day the total cost was $123
    12·2 answers
  • The bakers at Healthy Bakery can make 270 bagels in 10 hours. How many bagels can they bake in 15 hours? What was the rate per h
    10·1 answer
  • Math Help Part 3 (Please Help)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!