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satela [25.4K]
3 years ago
13

I need help with geometry

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0

Answer:

13

Step-by-step explanation:

Use the Pythagorean theorem:

  • a^2 + b^2 = c^2
  • 5^2 + 12^2 = c^2
  • 25 + 144 = c^2
  • c^2 = 169
  • 13

Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.

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Look at the attachment for the work.

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les uses pencils every 5 weeks to do his school work and homework. if les were to plot these numbers on a graph with the pencils
lina2011 [118]

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I'm not sure but i think it is 5

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Una recta que pasa por los puntos A (2,1) y B (6,3) y otra recta pasa por A y por el punto (0,y) ¿Cuánto vale y, si ambas rectas
ASHA 777 [7]

The translation of the question given is

A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?

Answer:

y = 5

Step-by-step explanation:

Line 1 that passes through A (2,1) and B (6,3)  

Slope (m1) = 3-1/6-2 = 2/4 = 1/2

y - 1 = \frac{1}{2} ( x -2)

2y - 2 = x- 2

y = \frac{x}{2}

Line 2 passes through A (2,1) and (0,y)

slope (m2) =\frac{y-1}{-2}

Line 1 and Line 2  are perpendicular

m1*m2 = -1

\frac{1}{2}  * \frac{y-1}{-2} = -1

y-1 = 4

y = 5

slope = -2

Equation of Line 2

Y-1 = -2(x-2)

y -1 = -2x +4

2x +y = 5

7 0
3 years ago
If 20 is added to the data set below, which statement will be true?<br> 50, 55, 55, 60, 62
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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p
Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that X = 80, \mu = 77, \sigma = 4.9

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{80 - 77}{4.9}

Z = 0.61

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that X = 78, \mu = 75, \sigma = 3.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{75 - 78}{3.7}

Z = 0.81

Rachel's z-score was of 0.81.

6 0
3 years ago
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