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Alika [10]
3 years ago
15

Mario writes the equation (x+y)2=z2+4(12xy)(x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem.

Mathematics
2 answers:
avanturin [10]3 years ago
7 0

Answer:

1) (x+y)^2

2) z^2+4(1/2xy)

Step-by-step explanation:

<u>( x + y )^2</u> finds the area of the outer square by squaring its side length.

<u>z²  + 4( 1/2xy )</u>  finds the area of the outer square by adding the area of the inner square and the four triangles.

Verizon [17]3 years ago
3 0

Answer:

Step-by-step explanation:

( x + y ^)2 finds the area of the outer square by squaring its side length.

z²  + 4( 1/2xy )  finds the area of the outer square by adding the area of the inner square and the four triangles.

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The local newspaper has letters to the editor from 20 people. If this number represents 8​% of all of the​ newspaper's readers,
zlopas [31]

let the all readers be x

8%=20×100%÷x

8%x=2000%

x=2000%÷8%

x=250

3 0
3 years ago
I need help with this problem
Vitek1552 [10]

Answer:

X=13

Step-by-step explanation:

So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.

7 0
3 years ago
g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not expos
vazorg [7]

Answer:

a) The relative risk is 1.8\overline{846153}

b) The attributable risk is 0.69 \overline{047619}

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337  rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8\overline{846153}

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = 0.69 \overline{047619}

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

7 0
3 years ago
Which of the solution sets is all real numbers? |x| &lt; -1 |x| = -1 |x| &gt; -1?
charle [14.2K]
|x| > -1 represents all real numbers.
5 0
3 years ago
Read 2 more answers
How do I find 1/4 of 52
Neporo4naja [7]

Answer:

13

Step-by-step explanation:

1/4 of 52 is actually telling us to multiply 1/4 by 52 over 1.

1/4×52/1

=13

5 0
2 years ago
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