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densk [106]
3 years ago
6

Find the missing side

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

Answer:

6.5

Step-by-step explanation:

{6}^{2}  +  {2.5}^{2}  =  {x}^{2}  \\ 36 + 6.25 =  {x}^{2}  \\ 42.25 =  {x}^{2}  \\  \\ x =  \sqrt{42.25}  \\ x = 6.5

Use the Pythagorean theorem.

It's easy if you use a calculator.

<em>Thanks</em><em>.</em>

vlada-n [284]3 years ago
3 0

The answer you are looking for is 6.5.

To find this answer, you use the equation a² + b² = c², where c is the hypotenuse (the side with x in this case).

Next, fill in a and b with the two values given. Doing so will make the equation say 6² + 2.5² = c².

Now you solve for c.

6² = 36 and 2.5² = 6.25. (36 + 6.25 = c²)

36 + 6.25 = 42.25. (42.25 = c²)

√42.25 = 6.5. (6.5 = c)

Thus meaning 6.5 is the answer. I hope this helps!

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Exercise topic: Permutations and Combinations. A company wants to hire 3 new employees, but there are 8 candidates, 6 of them wh
SOVA2 [1]

Answer:

(a) 56 ways

(b) 6 ways

(c) 56 ways

Step-by-step explanation:

Given:

candidates: 6 mail, 1 female

number to hire : 3

a) In how many different ways can choose new employees?

use the combination formula to choose r to hire out of n candidates

C(n,r) = C(8,3) = 8! / (3! (8-3)! ) = 40320 / (120*6) = 56 ways

b) In how many different ways can choose a single male candidate?

6 ways to choose a male, one way to choose two female, so 6*1 = 6 ways

c) In how many different ways can choose at least one male candidate?

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In other words, there are 56-0 = 56 ways (as in part (a) ) to hire 3 employees with at least one male candidate.

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