1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semmy [17]
3 years ago
5

What is the lowest whole number for hypotenuse c when using the formula

2%7D" id="TexFormula1" title="\sqrt{a^2+b^2}" alt="\sqrt{a^2+b^2}" align="absmiddle" class="latex-formula"> and a = b?
Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

9514 1404 393

Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

<em>Additional comment</em>

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

You might be interested in
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
kifflom [539]
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros. 

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
6 0
3 years ago
What is 5(2a + 3b) expanded
Eduardwww [97]

Answer: 10a + 15b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which function describes the arithmetic sequence shown?<br><br> 1, 7, 13, 19, 25, 31, ...
Taya2010 [7]

Answer:

a(n) = a(1) + 6(n -1)

Step-by-step explanation:

The common difference here is 6.  1 + 6 = 7; 13 + 6 = 19; and so on.

Thus, the function in question is a(n) = a(1) + 6(n -1).

3 0
2 years ago
Bryan made up a game. Each team starts with seven points. Each time a team answers a question correctly, they earn five points.
Margaret [11]
The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly

We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
t = 7 + 30
t = 37 points
5 0
3 years ago
Read 2 more answers
Pls Help its only one question its about Triangles Thank you!!
Alex_Xolod [135]
Does it tell you what (x) stands for
4 0
2 years ago
Other questions:
  • How do I find the unit rate of $7.96 for 5 pounds?
    5·1 answer
  • Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages
    14·1 answer
  • A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w
    14·1 answer
  • Eliza earns $48,000. Then, $3,000 is deducted in income taxes. $45,000 is deposited into her bank account. Which amount is her n
    7·1 answer
  • Identify the terms, like terms, coefficients, and constants in the expression 5a+2+7+6a
    8·2 answers
  • Use the quadratic formula to find the complex solutions to the equation 10x2 – x + 9 = 0.
    8·1 answer
  • Figure EFGH is transformed to E’F’G’H’, as shown:
    6·1 answer
  • I need help ASAP bc its due in a few minutes and I’m IN A RUSH SO SOMEONE PLEWSE TELL ME THE ANSWER TO THIS
    5·2 answers
  • 4x+9=3x+6+x-10<br> What does x equal
    13·1 answer
  • Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an e
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!