Can u help me with my homework? thank you.

Mathematics

2 answers:

Elanso [62]2 years ago

6 0

hope this photo help! :)

Dmitry_Shevchenko [17]2 years ago

3 0

Answer:

x = 25

The lengths form a pythagorean triple

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Explanation:

Use the pythagorean theorem to get the following

$a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\\text{x} = \sqrt{15^2 + 20^2}\\\\\text{x} = \sqrt{225 + 400}\\\\\text{x} = \sqrt{625}\\\\\text{x} = 25\\\\$

Since we end up with a whole number, we do form a pythagorean triple of 15,20,25 or you can write it as 15-20-25

A pythagorean triple is where a,b,c are all integers that satisfy the pythagorean theorem above.

This is not a primitive pythagorean triple because we could divide all three values by the GCF 3 to get the triple 3-4-5. The keyword for this paragraph is "primitive".

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Step-by-step explanation:

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3 years ago

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Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$