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yulyashka [42]
3 years ago
9

Which line segment could create a right triangle

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

C) 18, 24, 30

Step-by-step explanation:

In order to figure this out, use Pythagorean theorem since it's a right triangle.

Remember that the legs are shorter than the hypotenuse but when added together are longer. In this case, the two smaller values are the legs and the longer value is the hypotenuse.

A) 24, 30, 35

24² + 30² = 35²

576 + 900 = 1225

1476 = 1225 ; NOT true

B) 12, 18, 30

12² + 18² = 30²

144 + 324 = 900

468 = 900 ; NOT true

C) 18, 24, 30

18² + 24² = 30²

324 + 576 = 900

900 = 900 ; TRUE

D) 18, 24, 35

18² + 24² = 35²

324 + 576 = 1225

900 = 1225 ; NOT true

Therefore, C is the only one that works

   

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Answer:

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Step-by-step explanation:

sqrt 15 = 3.872

to approximate to the nearest whole number (integer), you take the first decimal number which is 8, since 8 is greater than 5, you will add one(1) to the whole number which is 3 to make it 4.

5 0
3 years ago
Solve the following systems of inequalities and select the correct graph:
zaharov [31]
We can replace the inequality with qual sign:
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We can combine both question
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x + y = -1
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Step-by-step explanation:

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3 years ago
For the accompanying data set, draw a scatter diagram of the data.x 2 6 6 7 9y 3 2 6 9 5B. by hand compute the correlation coeff
zhenek [66]

Answer:

Step-by-step explanation:

Hello!

a.

Given the data corresponding the variables:

x 2 6 6 7 9

y 3 2 6 9 5

The Scatterplot is attached.

b.

To compute the correlation coefficient you need several auxiliary calculations:

∑X= 30

∑X²= 206

∑Y= 25

∑Y²= 155

∑XY= 162

r= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{\sqrt{[sumX^2-\frac{(sumX)^2}{n} ][sumY^2-\frac{(sumY)^2}{n} ]} }

r= \frac{162-\frac{(30)*(25)}{5} }{\sqrt{[206-\frac{(30)^2}{5} ][155-\frac{(25)^2}{5} ]} }

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c.

The critical value for r has n-2 degrees of freedom, let's say for example you have α:0.05

r_{n-2;\alpha  } = r_{3;0.05 } = 0.878

For a two-tailed test.

Because the correlation coefficient is <u>positive</u> and the absolute value of the correlation coefficient, _<u>0.43</u>___, is <u>not greater</u> than the critical value for this data set,_<u>0.878</u>__, <u>no </u>linear relationship exists between x and y.

I hope it helps!

4 0
3 years ago
-6(-3y-6)-10(6y-8) in simplest form
earnstyle [38]

Answer:

Step-by-step explanation:

18y + 36 - 60y + 80

116 - 42y

8 0
3 years ago
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