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jonny [76]
3 years ago
10

Explain and Prove that the sides of the triangles below are a right triangle.

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0
3.) 3, 4, 5
&
4.) 6, 8, 10
Those two are right triangles because when you add the squares of the first two it should give you the square root of the third number

a^2 + b^2 = c^2

So
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100

Therefore they are right triangles

But 1 & 2 aren’t right triangles because when you add the squares of the first two number, it doesn’t equal to the square root of the third number.

Hope this helps!!
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Step-by-step explanation:

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Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a
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Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person has the disease

<em>P</em> = the test result is positive

<em>N</em> = the test result is negative

Given:

P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10

Compute the value of P (P|X) as follows:

P(P|X)=1-P(P|X^{c})=1-0.15=0.85

Compute the probability of a positive test result as follows:

P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22

Compute the probability of a person having the disease given that he/she was tested positive as follows:

P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864

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Step-by-step explanation:

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Youre purchasing a new television with a 32" screen. the 32" measurement represents the diagonal measurement of the screen. You
Nonamiya [84]

Answer:

B. 28 inches

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem.

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Subtract 256 from each side

256-256 + b^2 =1024-256

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Take the square root of each side

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