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KATRIN_1 [288]
2 years ago
9

If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the m

issing side? What is the length of the missing side?
Mathematics
2 answers:
tiny-mole [99]2 years ago
5 0
You would use 13 as C and 5 as A or B set it up like a normal equation the square of 13 is 169 and the square of 5 is 25 subtract to get 144 square root to give you the answer of 12 

15,12, 5

zaharov [31]2 years ago
4 0
12,5,13 are Pythagorean triplets..

so, missing side will be 12 inches

hope it helps


Hyp^2 = Base^2 + perpendicular^2
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Least common factor of 12 20 and 24
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Answer:

2 is the LCF :)

Step-by-step explanation:

All are divisible by 2. 2 is the lowest number than even numbers can be divided by.

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A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio
Reptile [31]

Answer:

The probability is P(|p-\^{p}| >  0.03)  =   0.0040

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.07

   The mean of the sampling distribution is   \mu_p =  0.07

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

     \sigma_p  =  \sqrt{\frac{p (1 -p)}{n} }

=>    \sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }    

=>    \sigma_p  =  0.010416    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )

Now  add p  to  both side of the inequality

=>   P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )

Now  converting the probabilities to their respective standardized score

=> P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )

=> P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )

=>   P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)]

From the z-table  

       P(Z \le 2.88)  =  0.9980

and

       P(Z \le -2.88)  = 0.0020

So

     P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020]

=>   P(|p-\^{p}| >  0.03)  =   0.0040

     

7 0
3 years ago
Which of the following would be the criterion for establishing similarity in the two triangles?
Luba_88 [7]

Answer:

<h3>A) Not enough information or not similar.</h3>

Step-by-step explanation:

We are given a triangle with a segment that connects two points of the two sides of given triangle.

There are different triangle similarity theorems are available there as given in options.

Side Side Side (SSS) triangle similarity theorem.

Side Angle Side (SAS) triangle similarity theorem.

Angle Angle (AA) triangle similarity theorem.

But in the shown figure, we are not provided much information about it's sides and angles.

Therefore, correct option is :

<h3>A) Not enough information or not similar.</h3>
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Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

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3 . x+5=3x+15

3 (x+5)=3 . x+5

5 0
2 years ago
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