The length of the hypotenuse of a right triangle is 145 units. the length of one leg of the triangle is 144. mike wrote the following step to find the length of the unknown leg:

length of the unknown leg = 1452 − 1442 = 21,025 − 20,736 = 289 units

which statement best explains whether mike's step is correct or incorrect?

it is incorrect because the length of the unknown side is the square root of 289.
it is incorrect because the length of the unknown side is the square root of 41,761.
it is correct because the length of the unknown side is the difference of the lengths of the sides.
it is correct because the length of the unknown side is the difference of the squares of the sides.

The harlem renaissance dawned in an era of pervasive racism and segregation. although legally "free," many african americans were still bound by ideas that had their roots in the slavery of earlier centuries. identity and freedom are important ideas presented in many of the poems from the harlem renaissance. furthermore, the values of identity and freedom are not unique to particular times and places. as hughes expresses in "dream variations," all humans want to be able to develop their identities in freedom. what role does freedom play in the poems you read in this unit? what is required of a society to enable each individual to be true to his or her identity and be free to live by that identity? write about at least three of the poems, describing how the poet uses imagery to depict freedom and identity, the lack of it, or the desire for it.

What is the purpose of the scene in leo tolstoy’s the death of ivan ilyich in which ivan ilyich thinks about the following logical argument, known as a syllogism?

Which statement best explains coelho's choice in the alchemist to have the boy robbed as soon as he arrives in tangiers? it reveals how working for the crystal merchant is part of the boy's personal legend. it illustrates how personal legends can change quickly if one is not careful. it shows how the boy makes poor choices and needs much guidance on his journey. it highlights the dangers of being in a new and unknown country.