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Orlov [11]
4 years ago
11

What is the distance between (6, 4) and (8, -5)?

Mathematics
1 answer:
MrRissso [65]4 years ago
6 0

Answer:

9.21 units

Step-by-step explanation:

Let d be the distance between given points.

\therefore \: d =  \sqrt{ {(6 - 8)}^{2}  +  { \{4 - ( - 5) \}}^{2} }  \\  \hspace{16 pt}=  \sqrt{ {( - 2)}^{2}  +  { \{4  +  5 \}}^{2} }  \\\hspace{16 pt} =  \sqrt{ {( - 2)}^{2}  +  { \{9 \}}^{2} }  \\ \hspace{16 pt}=  \sqrt{ 4  +  81}  \\\hspace{16 pt} =  \sqrt{ 85}  \\  \hspace{16 pt}= 9.21954446 \\  \:  \:  \:  \:  \:   \purple{ \bold{d = 9.21 \: units }}\\  \\

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Can somebody plz help answer all these questions (only if u know how to do it) lol thanks!!!
vladimir1956 [14]

Answer:

  1. 13=6 14=5. 15=3 16=2 17=5 18= 7 19=2 20=9
7 0
3 years ago
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A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years
Dennis_Churaev [7]

Answer:

9 years old.

Step-by-step explanation:

Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)

O = M + 6

Y = M - 3

30 = (M+6) + M + (M-3)  ... combine like terms

30 = 3M + 3  ... subtract 3 from both sides

27 = 3M  ... divide both sides by 3

9 = M

Now we know that the middle child is 9 years old.

6 0
3 years ago
FIRST ANSWER GETS A BRAINLEST The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge length
-Dominant- [34]

Answer:

26  

2 /3  cm3

Step-by-step explanation:

V = (6

2

3

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2

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Can also be solved by counting the fractional cubes.

7 0
4 years ago
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The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz
Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

N = \dfrac{z^2 \cdot p \cdot q}{e^2}

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

N = \dfrac{1.645^2  \times 324}{3^2} = 97.4169

Therefore the appropriate sample size, N ≈ 97 adults.

8 0
3 years ago
Tanner has already taken 1 picture at home, and he expects to take 2 pictures during every day of vacation. How many days will T
SIZIF [17.4K]

Answer:

38 is the answer

Step-by-step explanation:

2 times 19 is 38

4 0
4 years ago
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