HELP ME !!! GEOMETRY

Mathematics

1 answer:

ahrayia [7]1 year ago

6 0

Answer:

(b) 33

Step-by-step explanation:

The side opposite x° and the hypotenuse are given. That means the relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(x°) = 6/11

The value of the angle is found using the inverse sine function:

x° = arcsin(6/11) ≈ 33.056°

x ≈ 33

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Additional comment

If you recall, the side length ratios of the "special" 30°-60°-90° triangle are 1:√3:2. Here, you have a shortest:longest side ratio that is 6:11 ≈ 6:12 = 1:2. This means the angle will be only slightly greater than 30°.

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If the probability of a student taking a calculus class is 0.10, the probability of taking a statistics class is 0.90, and the p

Stells [14]

Answer:

93% probability of a student taking a calculus class or a statistics class

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student takes a calculus class.

B is the probability that a student takes a statistics class.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student takes calculus but not statistics and $A \cap B$ is the probability that a student takes both these classes.