Two sides of a triangle measure 3 inches and 9 inches. which inequality represents all the possible lengths of the third side of
1 answer:
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<h3>x = 21/5</h3>
Step-by-step explanation:
<h3>___________________________</h3><h3>Given →</h3>5x:9 = 7:3
<h3>So,</h3>→ 5x/9 = 7/3
→ x = (7 × 9)/(3 × 5)
→ x = 21/5
<h3>___________________________</h3><h3>Hope it helps you!!</h3>Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89
Answer:
Tera had the higher z-score, so she should be offered the job.
Step-by-step explanation:
Z- score:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem:
Whoever has the higher z-score should get the job.
Brittany:
Scored 88.3, mean 63.1, standard deviation 14. So
Alissa:
Scored 236.5, mean 219, standard deviation 25. So
Tera:
Scored 7.75, mean 6.66, standard deviation 0.5. So
Tera had the higher z-score, so she should be offered the job.