01.01.2023

The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip

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Step-by-step answer

24.06.2023, solved by verified expert
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The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56

The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56

Take positive square root of both sides

The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56

Split:

The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56

The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56

Recall that the side length (l) is rational.

However, The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56 is irrational.

So, the product of l and The length, in millimeters of each side of a, №17886352, 01.01.2023 04:56 will be irrational

Hence:

The diagonal is irrational

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Mathematics
Step-by-step answer
P Answered by PhD

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

d^2 = l^2 + l^2

d^2 = 2l^2

Take positive square root of both sides

d = \sqrt{2l^2}

Split:

d = \sqrt{2} * \sqrt{l^2}

d = \sqrt{2} *l

Recall that the side length (l) is rational.

However, \sqrt 2 is irrational.

So, the product of l and \sqrt 2 will be irrational

Hence:

The diagonal is irrational

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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