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
dezoksy [38]
3 years ago
5

A robot begins its journey at the origin, point 0, and travels along a straight line path at a constant rate. Fifteen minutes in

to its journey the robot is at A(5, 8) .
(a.) If The robot does not change speed or direction, where will it be 3 hours into its journey (Call this point B)? (B.) The robot continues past point B for a certain period of time until it has traveled an additional 3/4 the distance it traveled in the first 3 hours and stops. i. How long did the robot's entire journey take? ii. What is the robot's final location?
c. What was the distance the robot traveled in the last leg of its journey?
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0
A) Point B(60,96)
B)i. 315 mins (or 5.25 hours [or 5 1/4 hours])
ii. Ended at coordinates (105,168)
C) it travelled a distance of the origin to coordinates (45,72). It travelled 45 in the x direction and 72 in the y direction.

C is confusing question. Assuming that means after it stopped and continued again, the last leg of the journey was just the slope 72/45; or

First find the slope
Slope=rise/run
Slope=8/5
During 15 mins the robot goes at the slope of 8/5.
3 hours is 180 mins.
180/15=12
8/5*12=96/60
Remember!! Slope=rise/run, now UNDO it
96/60 (undo it) becomes point B (60,96)

An additional 3/4 of slope 96/60 is:
(96/4)*3=72
(60/4)*3=45
72/45=3/4 of 96/60
Dividing 72 by 45 and 96 by 60 will yield the same number (therefore the slope is the same therefore that checks that this is correct)
The time is took to do 96/60 was 3 hours, or 180 mins. (180/4)*3=135
The new total time of journey is 180+135=315 mins
Final location is just adding (45,72) and (60,96) to get (105,168)
You might be interested in
How much greater is 6/7 then 5/14
iVinArrow [24]
12/14 more then 5/14 in 2.4 times

7 0
3 years ago
ben used 124.7 pounds of gravel in his front yard 110.7 pounds in his back yard.how many more pounds of gravel does ben use in h
Dovator [93]

Answer:

30.1

Step-by-step explanation:

it is subtraction because it is asking how many more pounds of gravel does Ben use in his front yard than his back yard and his front yard has a bigger number so you subtract.

136.2-106.1= 30.1

6 0
3 years ago
Each side of a square piece of cardboard is 22 inches long. What is the piece of cardboard's perimeter?
tia_tia [17]
88 inches long would be the answer
5 0
2 years ago
Jennie has 7 tickets for carnival rides. The Ferris wheel costs 4 tickets, The roller coaster costs 6 tickets. the merry-go-roun
algol13

Answer: 6

Step-by-step explanation:

7 - 3 = 4

3 - 4 = 0

0 - 6 = -6

6 0
3 years ago
The number m divided by 10 leaves a remainder of 1, and the number n divided by 10 leaves a remainder of 4. What will be the rem
kozerog [31]

Answer:

1

Step-by-step explanation:

Add 4+1=5 then do 5÷5=1

7 0
3 years ago
Other questions:
  • Solve x^2+8x+10=3 by completing the square
    8·2 answers
  • 3x^2=4x+4 solve for x
    15·1 answer
  • The form of a linear equation that shows the slope and one point is the ??????
    5·2 answers
  • Need help ASAP.
    7·1 answer
  • What is the simplest value of exponential expression 27^1/3
    11·1 answer
  • A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the proba
    5·2 answers
  • Select the correct answer.<br> Which pair of functions is not a pair of inverse functions?
    11·2 answers
  • Dan and Kayla dined at a restaurant, and their bill was $29.74. They would like to leave a tip of approximately 15% of their bil
    6·1 answer
  • 5. Is a parallelogram but not a rectangle
    8·1 answer
  • Tom makes a bet with his friend Bob. Bob wagers $100, but Tom decides to make him a deal. If Bob wins, Tom will pay him $100. If
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!