Is the statement true or false? Justify your answer.
If triangle ABC is any triangle with sides and angles labeled in the usual way then b^2 plus c^2 greater than 2bc cosine A.

A.
True, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a positive number. Since b squared plus c squared minus bc cosine A greater than 0, it follows that b squared plus c squared greater than 2 bc cosine A.
B.
True, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a negative number. Since b squared plus c squared minus 2 bc cosine A less than 0, it follows that b squared plus c squared less than 2 bc cosine A.
C.
False, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a negative number. Since b squared plus c squared minus 2 bc cosine A less than 0, it follows that b squared plus c squared less than 2 bc cosine A.
D.
False, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a positive number. Since b squared plus c squared minus 2 bc cosine A greater than 0, it follows that b squared plus c squared greater than 2 bc cosine A.

Find solution of the linear equation y = 2/3x + 1/3

How can you find the magnitude of a vector, v = < x,y > , where the horizontal change is x and the vertical change is y?

Overproduction of uric acid in the body can be an indication of cell breakdown. this may be an advance indication of illness such as gout, leukemia, or lymphoma.† over a period of months, an adult male patient has taken nine blood tests for uric acid. the mean concentration was x = 5.35 mg/dl. the distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.87 mg/dl. (a) find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. what is the margin of error? (round your answers to two decimal places.) lower limit upper limit margin of error (b) what conditions are necessary for your calculations? (select all that apply.) σ is unknown n is large σ is known normal distribution of uric acid uniform distribution of uric acid (c) interpret your results in the context of this problem. there is not enough information to make an interpretation. the probability that this interval contains the true average uric acid level for this patient is 0.05. the probability that this interval contains the true average uric acid level for this patient is 0.95. there is a 95% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. there is a 5% chance that the confidence interval is one of the intervals containing the population average uric acid level for this patient. (d) find the sample size necessary for a 95% confidence level with maximal margin of error e = 1.10 for the mean concentration of uric acid in this patient's blood. (round your answer up to the nearest whole number.) blood tests