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Inessa [10]
4 years ago
6

What is the distance between point (6, -1) and point (5, 3) rounded to the nearest tenth?

Mathematics
1 answer:
sdas [7]4 years ago
6 0

Answer:

The answer is

4.1 units

Step-by-step explanation:

The distance between two points can be found using the formula

<h3>\sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }</h3>

where

( x1 , y1) and ( x2 , y2) are the points

From the question

The points are (6, -1) and (5, 3)

The distance between the points is

<h3>\sqrt{( {6 - 5})^{2}  +  ({ - 3 - 1})^{2} }</h3><h3>=  \sqrt{ {1}^{2} + ( { - 4})^{2}  }</h3><h3>=  \sqrt{1 + 16}</h3><h3>=  \sqrt{17}</h3>

<h3 />

= 4.123105

We have the final answer as

<h3>4.1 units</h3>

Hope this helps you

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Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84
vitfil [10]

Answer:

3

(

2

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{\color{#c92786}{3(2x+5)}}=-7(2x-10)+5

3(2x+5)=−7(2x−10)+5

6

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7 0
3 years ago
HISTORY Refer to the stem-and-leaf plot below.
weeeeeb [17]

Part (a)

Count the number of individual digits in the leaf category only.

For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.

The second row has 17 leaves in it

So far we have 3+17 = 20 people accounted for.

Keep this process going until you get every row.

You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.

To verify the answer, you can look it up on any history website dealing with this point in time.

<h3>Answer: 56</h3>

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

Part (b)

The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)

<h3>Answer: 26</h3>

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

Part (c)

The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.

Subtract the oldest and youngest ages to get the range.

range = max - min = 70 - 26 = 44

There's a 44 year gap between the oldest and youngest person.

<h3>Answer: 44</h3>

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

Part (d)

No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".

6 0
2 years ago
Combine like terms 2.4m- 125 + 1.8b+ 92.4​
Brut [27]

Answer:

2.4m+1.8b−32.6

Step-by-step explanation:

Group like terms together

1. 2.4 m + \left( - 125 + 92.4 \right) + 1.8 b2.4m+(−125+92.4)+1.8b

2 . Add or subtract the numbers

2.4 m- 32.6 + 1.8 b2.4m−32.6+1.8b

3 . Rearrange the expression

2.4 m + 1.8 b- 32.62.4m+1.8b−32.6

7 0
3 years ago
Read 2 more answers
Please help. I’ll mark you as brainliest if correct!
tatyana61 [14]

Answer:

Dave worked 60 hours.

Step-by-step explanation:

Let's assume that Dave worked a total of x hours.

Since Kate worked 5 hours less than Dave: x-5

And Sarah worked 10 more hours than Dave: x+10

Combined, the three siblings worked 185 hours.

(x)+(x+10)+(x-5) = 185\\x+x+10+x-5 = 185\\3x + 5 =185\\3x = 185 - 5\\3x = 180\\x = 180 \div 3\\x = 60

Dave worked 60 hours,

Kate worked 55 hours and Sarah worked 70 hours.

To check:

55 + 60 + 70 = 185 hours

6 0
3 years ago
On day 1, i'm going to run 12 laps at the fitrec. then, for each of the next six days, i'm going to roll a six-sided die, and th
sveticcg [70]
Short answer: 36.
This is a combination/permutation problem.
To put it simple, a die has 6 sides, there are 7 days but 1 is already determined (12 laps).
So if we multiple the options (sides on a die) × the number of days (6) we get:
6 × 6 = 36 possible outcomes.

To show this we can get
12, 13, 14, 15, 16, 17, 18
12, 13, 14, 15, 16, 17, 19
12, 13, 14, 15, 16, 17, 20
... all the way to
12, 18, 24, 30, 36, 42, 48
5 0
4 years ago
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