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
Brilliant_brown [7]
3 years ago
8

n ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how lo

ng will it be (in cm)?
Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

<h2>48.28 cm </h2>

Step-by-step explanation:

Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.

The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.

To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.

hypotenuse² = opposite² + adjacent²

The opposite = adjacent = 20cm

The hypotenuse is the length of the diagonal that we need.

hyp² = 20²+20²

hyp² = 400+400

hyp² = 800

hyp = √800

hyp = 28.28 cm

The length of the diagonal is 28.28 cm.

Afterwards, the ant will move 20cm to point B from the stopping point.

Total distance will be 28.28 + 20 = 48.28 cm

You might be interested in
HELLP PLSS<br><br><br>(-2 and 1/9) - (-4 and 1/3) = x<br><br><br>Find the value of x
dedylja [7]

Answer:

x = 20/9

Step-by-step explanation:

We want to write out all of the mixed fractions into improper fraction form. So -2 and 1/9 becomes -19/9 and -4 and 1/3 becomes -13/3. Then we get (-19/9) - (-13/3). The two minus signs together means a positive/plus sign, so we get -19/9 + 13/3. In order to add, we want the denominator to be the same. A common denominator could be 9, so -19/9 + 13(3)/3(3) = -19/9 + 39/9 = 20/9, which is our final answer

8 0
2 years ago
How do I solve for n<br>r=5n+5w
Serggg [28]
R = 5n + 5w
r - 5w = 5n
r/5 - w = n
3 0
3 years ago
Read 2 more answers
Plz help me with these two problems I’m having such trouble
igomit [66]
For No. 13 you need to calculate the distance each girl travels and compare to see whose distance is greater. The formula for distance is rate x time or d=rt. The rate is just how fast they consistently go.

Mia
d = r x t
d = 14 x 3/2
d = 21 miles

Chloe
d = r x t
d = 35 x 3/4 (btw 3/4 is just 45/60 simplified)
d = 105/4 = 26 1/4 miles

Final Answer: Chloe traveled further

For No. 14 we will recalculate Mia's distance but replace 1/5 hours with 2 hours because it says she will bike 30 minutes after Chloe had stopped. Afterwards we will compare Mia's new distance with Chloe's old distance.

Mia
d = r x t
d = 14 x 2
d = 28 miles

Final Answer: Yes Mia would be able to catch up to Chloe, and even surpass her in 30 minutes if Chloe stopped.

3 0
3 years ago
Help with #15 please
jonny [76]

Answer:

3 gallons of carpet shampoo

Step-by-step explanation:

room area: 16 * 15 = 240 ft

1 gallon carpet shampoo: 80 ft

240/80 = 3

3 gallons of carpet shampoo are needed.

6 0
3 years ago
If you have $10, and you money doubles every year, how much money will you have in 10 years?
aleksandr82 [10.1K]

Answer:

Year 1: 10

Year 2: 20

Year 3: 40

Year 4: 80

Year 6: 160

Year 7: 320

Year 8:  640

Year 9:  1280

Year 10: 2560

8 0
3 years ago
Read 2 more answers
Other questions:
  • Marco earns $16 an hour plus $21 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the wee
    6·1 answer
  • The sum of cameron,karlee,and Denise age is 49. how old is each person
    15·1 answer
  • Two companies working together can clear a parcel of land in 30 hours. Working alone, it would take company A 3 hours longer to
    5·1 answer
  • Please give me the answers to these questions. The questions are in the picture above. If you’re going to give me the answers sh
    13·1 answer
  • Prove:
    5·1 answer
  • A sewing machine is at a 20% off sale. The original price was $340. How much does the sewing machine cost at a 20% off sale?
    10·2 answers
  • 6905026 rounded to the nearest thousand
    8·1 answer
  • School is going to start soon for me, and if it is for you, have a good school day and don't fall asleep or you'll get called on
    7·1 answer
  • 210 minutes- = how many minutes ?
    7·2 answers
  • Solve for x: -10 + 3x = 17
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!