Ask question

Ask question

All categories

3 years ago

11

Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 5/8 inches a

round, and the second tree measured 45 1/3 inches around. Noa wanted to find the difference of the circumferences of the two trees. He recorded his steps in the table.
Step 1: 45 1/3- 37 5/8
Step 2: 45 8/24 - 37 15/24
Step 3: 44 32/24 - 37 15/24
Step 4: 44 32/24 - 37 15/24= 8 17/24

In which step did Noa first make an error?

2 answers:

Mademuasel [1]3 years ago

7 0

Answer:

step 4 is correct so D

Step-by-step explanation:

i just took the test

rodikova [14]3 years ago

4 0

Answer:

Step 4: 44 32/24 - 37 15/24= 8 17/24

<u>Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.</u>

Step-by-step explanation:

1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

Circumference Tree 1 = 37 5/8 inches around

Circumference Tree 2 = 45 1/3 inches around

Step 1: 45 1/3- 37 5/8

The measures are correct, no issues copying them.

Step 2: 45 8/24 - 37 15/24

Noa looked for common denominators

1/3 * 8/8 = 8 /24 is correct; 5/8 * 3/3 = 15/24 is also correct.

Step 3: 44 32/24 - 37 15/24

Noa looked for making the fraction part higher on the left side:

45 8/24 = 44 32/24 is correct because 24/24 = 1

Step 4: 44 32/24 - 37 15/24= 8 17/24

<u>Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.</u>

You might be interested in

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

1 year ago

Read 2 more answers

2+266666662724683745946198753278313=

LUCKY_DIMON [66]

Answer:

2.6666666e+32

Step-by-step explanation:

1.add

2.multiply

3. you have your answer

6 0

3 years ago

How can you understand porportions

BlackZzzverrR [31]

A proportion is a statement that two ratios are equal. A ratio is a comparison of two different quantities. "Miles per hour" is a ratio. "Dollars per pound" is a ratio. A proportion is that two of these things are equal.

For example, paying $2/pound for apples is the same as paying $6 for 3 pounds:

$\dfrac{\$2}{1 \text{ pound}} = \dfrac{\$6}{3 \text{ pounds}}$

That's a portion.

When working with proportions in word problems, you start by setting up one ratio/fraction where you know all the information. You then set up the second one that's missing a piece of information, but you make sure to set it up using the same structure.

If your first ratio is "miles over hours," then the next ratio has to have the same organization.

If your first ratio is "rise over run," then the next ratio has to have the same organization.

4 0

3 years ago

Write a sequence that has four arithmetic means between 2 and 17.

Fittoniya [83]

Answer:

a

0

=

44

XXX

a

1

=

?

XXX

a

2

=

?

XXX

a

3

=

?

XXX

a

4

=

92

Step-by-step explanation:

5 0

3 years ago

Simplify 9 + 3 × 2 please help ASAP

prisoha [69]

9+3×2

=9+6

=15

By applying BODMAS formula,the answer is 15.

Good Night

3 0

2 years ago

Read 2 more answers