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
ikadub [295]
3 years ago
12

A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon

g the path A–B–C–D–A represented on the coordinate plane. What distance will the rover cover if it completes one circuit?
A.
36 meters
B.
40 meters
C.
54 meters
D.
60 meters
E.
68 meters

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

B. 40 meters

Step-by-step explanation:

— Estimating

The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.

The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.

Only one answer choice fits in the range 37 < d < 46.

____

— Detailed calculation

The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.

The circuit length is ...

AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters

You might be interested in
Jar of mayonnaise is shaped like a cylinder. The radius of the jar is 1.5 in and its height is 7 in. The mayonnaise sell for $0.
Allisa [31]
$3.9584067435 which would be $3.96 rounded to the nearest penny
8 0
3 years ago
WILL MARK AS BRAINLIEST FOR THESE QUESTIONS.
laiz [17]

1.

Let the sandwich be represented by = x

Let the drink be represented by = y

As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10    ....(i)

He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50  ....(ii)

Subtracting (ii) from (i) we get

x=3.50

And as x+y=6.50

y=6.50-3.50=3.00

Hence, cost of a sandwich is $3.50 and a drink is $3.00

2.

the question is incomplete. coordinates are missing

3.

Let x represent the number of performances

cost = 8000+300x

revenue = 700x

To break even, the cost must be equal to the revenue.

8000+300x=700x

400x=8000

so x=20

Hence, 20 performances are needed to break even.

4.

Let us take x for 20% material, y for 50% material

\frac{20x+50y}{200}=30

20x+50y=6000    ......... (1)

Accounting for volumes to use, x+y=200 or x=200-y ................ (2)

Putting the value of x in (1)

20(200-y)+50y=6000

4000-20y+50y=6000

4000+30y=6000

30y=2000

y=66.67

x=200-y = 200-66.67 =133.33

Hence, 133.33 ml of 20% acetic acid and 66.67% of 50% acetic acid is needed.





3 0
3 years ago
Josiue tosses a coin and spins the spinner at the right. What are all the possible outcomes?
vazorg [7]
The possible outcomes for the coin is 2 out of 1 since a coin has 2 sides the coin may only land on 1 side but the chances are between both sides having a 50/50 chance to land on either side.
6 0
3 years ago
7729 to one significant figure
love history [14]
Are there any decimals? Round to one digit: 7729 expressed in 1 digit = 8x10^-3
6 0
3 years ago
A circle in the xyxyx, y‑plane has the equation (x+92)^2+(y+54)^2=73(x+92) ​2 ​​ +(y+54) ​2 ​​ =73left parenthesis
dedylja [7]

34(3-2)9x-2 = 14 would be the correct way to solve the problem!

3 0
3 years ago
Other questions:
  • Solve the system of equations given below.
    6·2 answers
  • Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily p
    9·1 answer
  • 3 out of 5 picks are orange. If 12 picks are orange, how many picks are there in all
    12·2 answers
  • what expression is equivalent to 2x+9-x+3? show your answer is correct by substituting a value for x.
    8·1 answer
  • Can someone help me to solve this problem pls?! I didn’t really understand how I need to solve this question.
    13·1 answer
  • What is the angles mSRW?
    7·1 answer
  • (no links please) For each inequality, decide whether the solution is represented by
    9·1 answer
  • Choose the expression which is equivalent to the expression below. 3(12 + x) A. 36 + x B. 36 C.39x D. 36 + 3x
    9·1 answer
  • Which of the following is a true proportion
    8·2 answers
  • a leak is slowly draining water from a pool containing 324 gallons of water. How much water is remaining after 8 hours if it lea
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!