In triangle CDE the measure of angle E equals 90° the measure of angle C equals 81° De
1 answer:
Answer:
<h2>CD = 51.6 feet (to nearest tenth of a foot)</h2>Step-by-step explanation:
Check the diagram of the triangle in the attachment below.
From the right angled triangle shown, <u>CD is the hypotenuse and DE is the opposite side to ∠C</u>. To get the length CD, we will use the SOH, CAH, TOA trigonometry identity.
According to SOH;
Sin∠C = opp/hyp = DE/CD
Given ∠C = 81° and DE = 51feet
Sin81° = 51/CD
CD = 51/Sin81°
CD = 51.63572feet
CD = 51.6 (to nearest tenth of a foot)
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Answer:
The proportion of exam scores that are lower than Irina's score is 0.9938
Step-by-step explanation:
<u>Data</u>
- mean: 80 points
- standard deviation (sd): 6 points
- value of interest (x): 95 points
z-score is computed as follows:
z = (x - mean)/sd
z = (95 - 80)/6 = 2.5
We want to find:
P(z < 2.5)
From the table attached:
P(z < 2.5) = 0.9938
