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Travka [436]
3 years ago
11

What is the length of the hypotenuse, x, if (20,21,x) is a Pythagorean triple?

Mathematics
2 answers:
Sophie [7]3 years ago
6 0

Answer:

<h2>29</h2>

Step-by-step explanation:

(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29

zalisa [80]3 years ago
3 0

Answer:

B. 29

Step-by-step explanation:

Use Pythagoras theorem.

a² + b² = c²

x is the hypotenuse.

20² + 21² = x²

400 + 441 = x²

841 = x²

√841 = √(x²)

29 = x

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3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
juin [17]

Answer:

no solution

Step-by-step explanation: because if it has no variables that are the same it has no solution.

7 0
2 years ago
How much is $23,000 worth after 10 years at 6%<br> annual interest?
Zepler [3.9K]

Answer: $36800

Step-by-step explanation:

Principal= $23000

Rate=6%

Time= 10years

Simple interest= Principal×Rate×Time / 100

= 23000×6×10 / 100

= 1380000/100

= $13800

Amount= Principal+Interest

= 23000+13800

= $36800

3 0
3 years ago
If x^2=20 what is the value of x
tankabanditka [31]

Answer:

Step-by-step explanation:

x^2=20

just square both sides and u get

x = 4.472135955

6 0
3 years ago
Read 2 more answers
Please help me with this!
stich3 [128]

Answer:

y = x^2 - 4x - 6.

Step-by-step explanation:

The roots are  2 + √10 and 2 - √10, so in factor form we have:

(x -  (2 + √10))(x - (2 - √10))

= ( x -  2 - √10)(x - 2 + √10)

= x^2 - 2x + √10x - 2x + 4 - 2√10 - √10x  + 2√10 - √100

=  x^2 -4x + 4 - 10

= x^2 - 4x - 6.

7 0
3 years ago
Calculate the new balance using the previous balance method. Previous balance = $34.80 Finance charge = $0.75 New purchases = $8
pychu [463]
<h3>Given</h3>

new balance = previous balance + finance charge + purchases - payments

previous balance = $34.80

finance charge = $0.75

purchases = $83.21

payments = $5.50

<h3>Find</h3>

new balance

<h3>Solution</h3>

Fill in the given information and do the arithmetic.

... new balance = previous balance + finance charge + purchases - payments

... new balance = $34.80 + 0.75 + 83.21 - 5.50

... new balance = $113.26 . . . . matches the 2nd choice

7 0
3 years ago
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