Explain why partitioning a directed line segment into a
ratio of 1:2 is not the same as finding half the length of the
directed line segment.

Answers

Answer 1

Answer:

Step-by-step explanation:

This is actually a very important question and it is very subtle. Let's just take an ordinary segment.

Suppose we have a segment that is this long

=========o=========

The segment up to the o is nine equal signs long.

The segment after the o is also nine equal signs long.

Here's the crunch. Since they are equal, the ratio is 1 to 1. The segment is divided in half.

Now take the second half of the question.

======o============

The left side of the o is 6 equal signs long.

The right side of the o is 12 equal signs long.

The ratio is 1:2. There are still 18 equal signs but now they are divided as 6/12 which is not the same thing as 9/9

Very interesting question.

Answer 2

Answer:

A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size.

Step-by-step explanation:

Sample Response...


Related Questions

round 5/2 To the nearest whole number

please be quick​

Answers

the answer is 3 because it would be 2.5 in decimal format and when rounding you round anything above 0.5 up so the whole number is 3

Annie lives 12 miles directly south of her school. The grocery store is 5 miles east of Annie's house. Annie needs to stop by the grocery store before driving down the road that connects the store to her school. How far does Annie drive to get to school?

Answers

Answer: 18 miles.

Step-by-step explanation:

We can think on this as a triangle rectangle, where one cathetus is 12miles, and the other cathetus is 5 miles. (so the vertex of the triangle rectangle are Annie's house, the school, and the store)

The path that Annie would do is:

From her house to the store (so she drives 5 miles)

And from the store to the school, so here she drives through the hypotenuse of the triangle rectangle.

Then we need to find the length of this triangle rectangle.

We know that the square of the hypotenuse is equal to the sum of the squares of the cathetus, then:

H^2 = (12mi)^2 + (5mi)^2

H = √( (12mi)^2 + (5mi)^2) = 13mi

Then she first drives 5 miles from her house to the store, and then drives 13 miles from the store to the school, then the total distance that she drives is:

5 miles + 13 miles = 18 miles.

Holly has 46 quart of potato salad. She gives 26 quart to a friend. How much potato salad does she have left? Explain.

Answers

Answer:

Holly has 20 quart of potato salad left.

Step-by-step explanation:

Holly has 20 quart of potato salad because she originally has 46 quart of potato but gave her friend 26, subtracting 26 from the original amount of quart of potato she had.

The coordinates of the midpoint of AB are (1, -2). If the coordinates of A are (3,2), what are the coordinates of B ?

Answers

(-1,-6) explaination: bc im smart

Find the length of the third side. If necessary, write in simplest radical form 8 5​

Answers

Answer: c = [tex]\sqrt{89}[/tex]

8² + 5² = c²

64 + 25 = c²

[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{89}[/tex] = c

The length of the third side is 9.4.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Applying Pythagorean theorem.

Third side = x

x² = 8² + 5²

8 x 8 = 64 and 5 x 5 = 25

So,

x² = 64 + 25

x² = 89

x = √89
x = 9.4333

Rounding to the nearest tenth

x = 9.4

Thus,

The length of the third side is 9.4.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

What do you think this means about solving for the variables in a situation represented by
two equations?

Answers

Answer:

In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.

Find the percent of change. Round your answer to the nearest tent necessary, Please explain.

Original price: $185
New price: $160

Original number of students: 56
New number of students: 77

Answers

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Please help!
Calcule the mean for the following data set:

Answers

Answer:

the answer should be 7

Step-by-step explanation:

I think you forgot a file? How did that person answer it! I don’t see a file

Carter, Michelle, and Jen work at a coffee shop. All three of them worked 6 hours on Monday. Michelle and Jen worked 7 hours on Tuesday. On Wednesday, Carter worked 5 hours. On Thursday, Carter and Michelle worked 4 hours, and Jen worked 8 hours. Use a matrix to organize the number of hours all three employees worked Monday through Thursday.

please help, i will give brainliest!! <3

Answers

Sorry i dont know what a matrix is but the answer to all 3 of the workers time is, 66

Part B
What is the density of the plne log? Show your work.


Answers

Answer:

Please Provide the an attachment.Then i can show u my answer

If a driver drives at a constant rate of 32 miles per hour, how long would it take the driver to drive 208 miles ?

Answers

Answer:

6.5 hours

Step-by-step explanation:

208/32 = 6.5

6.5 hr

1h➡️32mile

?➡️ 208 mile

[tex] \frac{1 \times 208}{32} = 6.5[/tex]

The diagram shows a square with perimeter 40 cm.
7 cm
Work out the percentage of the area inside
the square that is shaded.
4 cm

Answers

Answer:

55 cm²

Step-by-step explanation:

side length of square = perimeter/4 = 40/4 = 10 cm.

area of square = side x side = 10 x 10 = 100 cm²

area of triangle #1 = 1/2bh = 1/2(3)(10) = 15

area of triangle #2 = 1/2bh = 1/2(6)(10) = 30

100 - 15 - 30 = 55 cm²

Is this correct will give Brain

Answers

Answer:

it d

Step-by-step explanation:

2 meters into km

2.002 Km

2.02 Km

2.2 Km

Answers

2 meters= 0.002 kilometers (km)
divide 2 by 1,000

Evaluate the expression when b=5 and c=7

Answers

Answer:

7×7-5/7+3(5)

49-5/7+15

44/22

=2

so c squared - b

over c+3b is =2

Of the shapes shown, 1/3 are circles and 1 1/2 are rectangles. What fraction of the shapes are either circles or rectangles?

Answers

Answer: 1 5/6

Step-by-step explanation:

From the question given, we are told that out of some shapes shown, 1/3 of the shapes are circles and 1 1/2 are rectangles.

The fraction of the shapes that are either circles or rectangles, will be gotten by adding the shapes that are circle to those that are rectangle. This will be:

= 1/3 + 1 1/2

We should make the fraction have a common denominator.

= 2/6 + 1 3/6

= 1 5/6

The answer is 1 5/6.

7 times the sum of a number and 4 is the same as 8 decreased by 3 times a number

Answers

Answer:

7x+4= 8-3x

Step-by-step explanation:

You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?

Answers

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE​

Answers

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

I think It is Choice 3 sorry if I am wrong.

Step-by-step explanation:

)) Evaluate the expression for b = 7.
11b - 75 =

Answers

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet

Answers

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

PLEASE PLEASE PLEASEEEEE HELP ME PLEASEEE!!!

Answers

Answer:

V = 0.523598776

Step-by-step explanation:

graph the function f(x)=2x-3​

Answers

Answer:

-3y ( 1, -1 )

Step-by-step explanation:

you start at -3y and move up 2 times and you'll be at ( 1, -1 )

a line passes through the points (2, 2) and (6, 1). determine the slope of the line.​

Answers

Answer:

slope=-1/4

Step-by-step explanation:

Given that a = 18 cm and b = 23 cm, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

207 cm^2

Im assuming this is a right triangle.

In that case, the formula is A=1/2bh

So 1/2(18)(23)= 207 :D

Write two numbers that multiply to the value on top and add to the value on bottom. 45x __+14

Answers

Answer:

9 and 5

Step-by-step explanation:

..................

Person on top is right

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6 ≤x

Step-by-step explanation:

12 + 11/6x ≤ 5+3x

Subtract 11/6x from each side

12 + 11/6x - 11/6x ≤ 5+3x-11/6x

Subtract 5 from each side

12 + 11/6x - 11/6x -5 ≤ 5+3x-11/6x-5

7 ≤ 3x-11/6x

Get a common denominator

7 ≤ 18/6x-11/6x

7 ≤7/6x

Multiply each side by 6/7

6/7 *7 ≤ 6/7 *7/6x

6 ≤x

Help needed today please​

Answers

Answer:

15 units

Step-by-step explanation:

To find the length of figure B multiply the corresponding length of figure A by the scale factor, that is

length = 10 × [tex]\frac{3}{2}[/tex] = 5 × 3 = 15

Hi um if your so kind please do 31,33,35,37 if you do thank so much

Answers

Answer:

31) They divided by 100, they're suppose to times 0.86 by 100 instead, which will be 86%

33) 0.34 x 100=34%

35) we do the inverse to turn it back into

a decimal which will be 0.36

[tex] \frac{36}{100} = \frac{18}{50} = \frac{9}{25} [/tex]

36) 16.24÷100=0.6424

[tex] \frac{16.24}{100} = \frac{8.12}{50} = \frac{4.6}{25} [/tex]

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