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3 years ago

Which set of lengths are the side lengths of a right triangle? (9,15,17) (14,23,25) (20,30,40) (15,36,39)

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

6 0

Answer:

(15, 36, 39)

Step-by-step explanation:

Using pythagoreas formula: A^2 * B^2 = C^2

so a=15, b=36, c=39

15^2+36^2=39^2

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Simplify 2√2-√3<br> ---------------<br> √2+√3

serious [3.7K]

Step-by-step explanation:

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} }$

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} }$

$= \frac{ 2( \sqrt{2} - \sqrt{3} )( \sqrt{2} - \sqrt{3} )}{ { \sqrt{2} }^{2} - { \sqrt{3} }^{2} }$

$= \frac{2(2 - \sqrt{6} - \sqrt{6} - 3) }{2 - 3}$

$= \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}$

$= \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}$

$= 2(1 + 2 \sqrt{6} )$

$= 2 + 4 \sqrt{6}$

6 0

2 years ago

There are 4 students on a team for a relay race. How many teams can be made from 27 students?

Lina20 [59]

There can be 6 teams because
27/4= 6.75
yet there will be 3 students left, so they can be a team ;)

8 0

3 years ago

Read 2 more answers

Define democracy?Write any four key elements of democracy. Easy answer required.

umka21 [38]

Democracy: a system of government by the whole population or eligible members of state, typically through elected representatives

elements:
- equality
- accountability
- rule of law
- transparency

6 0

3 years ago

The perimeter of a stop sign is 99.2 inches. Each side of the stop sign is equal.

san4es73 [151]

Answer: The equation can be written as 8n = 99.2.

Step-by-step explanation:

In my answer, I used the variable n to distinguish itself as one side of the stop sign. 99.2 is the final perimeter in inches.

A stop sign is an octagonal shape (otherwise, it is made up of 8 equal sides). Therefore, with this information, you can interpret that the length of one side would be equal to the length of all of the other sides.

Hence, the answer can be represented as 8n = 99.2.

6 0

3 years ago

Jerry played with 333 friends today, all at different times. He played with Tommy for 1\dfrac{7}{8}1 8 7 1, start fraction, 7,

Mars2501 [29]

Answer:

8 1/8 hours

Step-by-step explanation:

Jerry played with 3 friends today, all at different times.

Tommy = 1 7/8 hours

Nathan = 1 3/4 hours

Chris = 3 3/2 hours

How many hours did Jerry play with his 3 friends today?

Number of hours Jerry play with his 3 friends today = 1 7/8 + 1 3/4 + 3 3/2

= 15/8 + 7/4 + 9/2

= (15+14+36)/8

= 65/8

= 8 1/8 hours

5 0

3 years ago