Using trigonometric identities, it is found that the sine and the tangent of the angle are given as follows:
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<h3>How do we find the sine of an angle given the cosine?</h3>
We use the following identity:
In this problem, the cosine is:
Hence the sine is found as follows:
Second quadrant, so the sine is positive, hence:
<h3>What is the tangent of an angle?</h3>
The tangent is given by the <u>sine divided by the cosine</u>, hence:
Hence:
More can be learned about trigonometric identities at brainly.com/question/7331447
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Answer:
c. observational study
Step-by-step explanation:
<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>
This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.
Answer:
b = 3
Step-by-step explanation:
1. Subisitute P, a, and c (P = 41, a = 19, c = 19 ) into the equation:
P = a + b + c -> 41 = 19 + b + 19
2. Combine like terms:
41 = 38 + b
3. Isolate the variable by subtratcing 38 from both sides
41 - 38 = 38 -38 + b -> 3 = b
If your teacher is asking "which of the following can be used to prove the triangles congruent?" then I agree with your statement that it's "none of the above". We simply don't have enough information to determine if the triangles are congruent or not. If we wanted to use SAS, then we'd have to know if EB = BD was true. If we wanted ASA, then we'd have to know that A = C. If we wanted AAS, then we'd have to know that E = D.
In short, you have the correct answer. Nice work.
Answer:
70 push-ups in 5 minutes
Step-by-step explanation:
42 pushups in 3 minutes is a rate of 14 per minute when you take 42/3.
14 push-ups per minute times 5 minutes is 70 push-ups
