How do you solve for the Rations of Special Triangles? This is confusing

Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

Answer:

The answer to your question is x = $\frac{3\sqrt{2}}{2}$

Step-by-step explanation:

Data

right triangle

x = ?

hypotenuse = 3

To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side and the hypotenuse is sine.

sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

x = hypotenuse sin 45

-Substitution

sin 45 = $\frac{\sqrt{2}}{2}$

x = 3 $\frac{\sqrt{2}}{2}$

-Solution

x = $\frac{3\sqrt{2}}{2}$ It is not possible to simplify any more.

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mixas84 [53]

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Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.

Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

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.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that $\mu = 50, \sigma = 10$