Angelica and Graciella are working together to find the sine and cosine of A for ABC. They are given that tan A=3/4. Angelica says the tangent is the ratio of the length of the leg opposite A over the length of the leg adjacent to A. This means BC must have a length of 3 units and AC must have a length of 4 units. They can find the length of AB using the Pythagorean Theorem and then use it to find the sine and cosine ratios.
Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine.
Both students have errors in their reasoning.

1. identify the mistake Angelica made in her reasoning. provide an example that shows why she is incorrect.

2. identify the mistake that Graciella made in her reasoning. Explain why she is incorrect.

3. Find the ratios for the sine and cosine of A. Explain your process.

the answer is 0.071

good luck! : d

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights