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-BARSIC- [3]
4 years ago
13

10 POINTS!!! What is the value of X in this triangle

Mathematics
1 answer:
Likurg_2 [28]4 years ago
6 0

Answer:

14.04º

Step-by-step explanation:

Since it is a right-angle triangle, we can apply the trigonometry identity.

The Tangent rule state that Tan (θ) = Opposite/Adjacent

In the diagram, the opposite (the side that is opposite of the θ) is 5 units.

The adjacent (the side that is along the θ) is 20 units.

Applying the identity,

Tan (θ) = 5/20

θ = 14.04º (nearest hundredth)

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Employment data at a large company reveal that 59 % of the workers are married, that 43 % are college graduates, and that 1/3 of
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Answer:

a. 74.63%

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Step-by-step explanation:

If 59% (0.59) of the workers are married, then It means (100-59 = 41%) of the workers are not married.

If 43% (0.43) of the workers are College graduates, then it means (100-43= 57%) of the workers are not college graduates.

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For question a, Probability that the worker is neither married nor a college graduate becomes:

= (probability of not married) + (probability of not a graduate) - (probability of not married * not a graduate)

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= 0.7463 = 74.63%

For question b, probability that the worker is married but not a college graduate becomes:

=(probability of married) * (probability of not a graduate.)

= 0.59 * 0.57

= 0.3363 = 33.63%

For question c, probability that the worker is either married or a college graduate becomes:

=probability of marriage + probability of graduate - (probability of married and graduate)

= 0.59 + 0.43 - (0.1433)

= 0.8767. = 87.67%

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Step-by-step explanation:

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\textit{now, the box fits in }128\frac{1}{8}\textit{ of those cubes, thus its volume is}
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