Mathematics : asked on j015
 18.05.2022

Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.

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Step-by-step answer

24.06.2023, solved by verified expert
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Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Step-by-step explanation:

Given

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Substitute x for Side

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Take the square root of both sides

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Split

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

Express as a function.

Use the Pythagorean theorem to obtain the function, №17886989, 18.05.2022 19:53

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Faq

Mathematics
Step-by-step answer
P Answered by PhD

D(x)= x\sqrt{2}

Step-by-step explanation:

Given

Side = x

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

D^2= Side^2 + Side^2

Substitute x for Side

D^2= x^2 + x^2

D^2= 2x^2

Take the square root of both sides

D= \sqrt{2x^2

Split

D= \sqrt{2} * \sqrt{x^2

D= \sqrt{2} * x

D= x\sqrt{2}

Express as a function.

D(x)= x\sqrt{2}

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below

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