Hello!
First, we can open the parentheses using the distributive property:
8*(cos(30°) + i*sin(30°)) = 8*cos(30°) + i*(8*sin(30°)).
Formally, this is the answer already, because 8cos(30°) and 8sin(30°) are real numbers (which is required for the form a+ib). But we can simplify this if recall that sin(30°) = `1/2` and cos(30°) = `sqrt(3)/2.`
So the final answer is 8*(cos(30°) + i*sin(30°)) = `4sqrt(3)+4i.`
Laurie has a difficult time controlling his impulses into socially unacceptable behavior as he makes the transition from nursery school to kindergarten, causing problems for himself and his parents.
The problems Laurie experiences in his start in kindergarten are rooted in a lack of impulse control. His problems escalate from the first behavior of "being fresh" with the teacher. He hits both teachers and students, is disobedient, yells during quiet time, stamps on the floor, and throws chalk. Laurie also encourages other students to get in trouble, as evidenced in how he was able to convince another student to say a "bad word." Laurie is unable to control his impulses. This means that he does whatever he feels like doing and does not pause to consider how his actions will impact others or if they are socially appropriate.
A problem Laurie's parents are experiencing is how to react to the disruptive behavior about which they hear so much. Laurie convinces his parents that a student named Charles is responsible for the poor behavior. As a result, both the father and mother simply dismiss it as "someone else's child." His parents' problem is that they never address the problems with Laurie. They fail to acknowledge the "teachable moment" they have with their son. They lack the communication skills to talk to Laurie about what he is observing. The mother displays concern, while the father's interest is superficial, almost like idle conversation. Neither one of them speak to Laurie about how such behavior should be seen as unacceptable. Their inability to talk with their son makes the revelation at the end of the story more startling.
When Roger attempted to steal Mrs. Jones' purse, she could easily have turned him in or chased him away. However, Mrs. Jones' decides to take matters into her own hands and teach Roger a lesson. Though Mrs. Jones' expresses her indignity that Roger would attempt to take her purse and speaks some stern words to him, her goal seems to be to assist Roger in making better decisions. In talking to Roger about her own life, she provides him an example of a hard working person who works for her money rather than steal it. Her purpose in describing her life in such detail is to provide Roger with a clear picture of an honorable way to live his life and earn money for the things that he wants, rather than steal to get them.
In giving Roger the ten dollars for the blue suede shoes, she allows him to witness someone being caring, selfless, forgiving, and kind. Just as in sharing the story of her life in hopes that it makes a difference in how he lives his, she also, in giving him the ten dollars, gives him the chance to see that someone cares about his happiness even when he did not deserve it.
There isn't really a personality trait, physical appearance, or function in the plot that these three boys share. What they do share is the fact that all three of them die, and they are the only ones whose deaths we can be certain of. Through their deaths, they may also represent the "loss of innocence" theme that runs throughout the story.
The boy with the birthmark is a "littlun," and is the first to speak of the Beast. We don't see his death or have it confirmed, but he is never seen again after the fire in Chapter 2, and it can be assumed that he died in it. In his case, his innocence lies in his age and his inability to think rationally; he is responsible for conjuring the idea of the Beast, and the fact that he is the first to die almost seems like the fulfillment of a curse for bringing this supernatural fear to the group. There may also be a more far-reaching connection to the power and danger of prophecy, as all three boys are, in their own ways, responsible for bringing knowledge and portents to the group.
Simon dies mostly due to bad luck; he comes out of the forest at the climax of a thunderstorm and a ritualistic "pig hunt" initiated by the near-savage hunters of Jack's group, and they supposedly mistake him for the Beast. Simon is also the most obviously prophetic character, due to his conversation with the Lord of the Flies, his statement that Ralph will get off the island someday, and his "fits."
Piggy dies horribly and intentionally, at Roger's hand amid the jeering of the Castle Rock tribe. His death, being the most intentional, may have been "saved" for last by Golding in order to demonstrate the boys' diminishing restraint. It is telling that the conch perishes with Piggy, simultaneously destroying both his superior mind and the semblance of order on the island.
Midsummer's Eve, the celebration of the longest day of the year, has a long history in England and is intertwined with the country's folklore.
According to A Midsummer's Night Dream: Texts and Contexts, edited by Gail Paster and Skiles Howard, two festivals blended together in Elizabethan England: the six weeks of May Day activities, also called Maygames, which culminated in Midsummer's Eve. But while the Maygames celebrated the natural world and fertility, Midsummer's Eve focused on the supernatural. It was a time of magic, fantasy and even madness, a night when fairies were thought to dance in meadows, sometimes tricking mortals.
It's easy to see how this ancient holiday and the fairy stories that went along with were incorporated into Shakespeare's play. For Eliabethans, midsummer faeries and sprites like Puck would have been as familiar as Santa and his elves to us. Audiences were likely to delight in a story in which fairies and mischevious spirits quarreled with each other and interfered in comic ways in the love lives of mortals passing though their woods.
Praying for Sheetrock by Melissa Fay Greene is a work of nonfiction about the first black commissioner in McIntosh County, Georgia, named Thurnell Alston. He is one of the two main characters in the story. He brought civil rights to the small, southern region in the 1970s. He granted voting rights, fought drugs, and introduced medical clinics, running water, and plumbing to this forgotten area. His beliefs and work were revolutionary for the time, but Alston was not all good. As time continued, he became distanced from his supporters, perhaps as a result of his son's death. After his son passed away, Alston neglected his family. Ultimately, Alston was the target of a police sting operation and was sentenced to six and a half years in federal prison for drug conspiracy charges.
On the other side of the story is corrupt Sherrif Popell. He is the second main character in the story. Popell refused to accept that the future would include equal rights for African Americans. He was known to deny black people the opportunity to hold public office or to serve on a jury. Additionally, he made it nearly impossible for a black person to have a white-collar job. He was also part of an obvious criminal activity where he would pull cars of black people over, claim that it was a routine search, and would trick the people into giving all of their money to him or his officers. Although it would be easy to believe that Popell is the villain in this work of nonfiction, he was not purely evil, but a rather complex character. When a semi-truck crashed and its contents spilled, Popell looked the other way as poor black families pillaged through the goods, taking items that they needed.
Praying for Sheetrock is not a celebration of civil rights and the changes brought to McIntosh County, but it is a look into the real struggle of equality issues in the south.
Historians believe that William Shakespeare was born on April 23, 1564. This date is based on his recorded baptism date of April 26, 1564 in Stratford-upon-Avon.
William Shakespeare was the oldest living child of John Shakespeare and Mary Arden. There were two girls born before him but neither survived infancy. He was followed by five other siblings.
When Shakespeare was eighteen he married Anne Hathaway. They had three children: Susanna, Judith and Hamnet. Susanna was born in 1583 and the twins Judith and Hamnet were born in 1585.
After the birth of his children (the exact year is unknown) Shakespeare moved to London and by 1592 he was recognized as a playwright and actor.
William Shakespeare died fifty-two years after his birth, on April 23, 1616. He is buried in Stratford-upon-Avon.
