Since we have the length of two adjacent sides and the
angle between them, we'll apply the law of cosines:
c^2 =
a^2 + b^2 - 2a*b*cos C
c^2 = 1 + 1 - 2*1*1*cos
(120)
But cos 120 = -cos 60 =
-1/2
c^2 = 2 + 2*(1/2)
c^2 =
2+1
c^2 = 3
c =
+sqrt3
Since the length of a side cannot be negative, we'll
reject the negative value -sqrt3.
The
requested value of the length of the side c is: c =
sqrt3.
The story has three distinct settings in which the action
occurs. As it opens, we are plunged into the beautiful countryside setting of the Tallis
family household in Surrey in 1935. War is looming and its presence is felt even in this
tranquil setting. Then we jump to 1941 where we read about war-torn London, where both
Cecilia and Briony are working as nurses, and Robby and Cecilia meet briefly once again.
Lastly, we move to France and Robby's experience of war, which is of course first-hand,
brutal and tragic. We must not of course forget the framing narrative, which ends
zooming into the present, with the author, Briony, reflecting on her life as she attends
a Tallis family reunion and reveals the true ending of the story she has just
told.
Huck Finn dislikes civilization so much because it is so
confining and, in his mind, worries about things of no importance. In chapter one, the
Widow Douglas takes him in. Right away, Huck's life changes when she starts educating
him. The Widow Douglas begins reading the Bible to him, and Huck is enjoying the story
of Moses...until...he finds out that Moses is dead and has been dead a long time. This
ruins the story for him because Huck sees little purpose in hearing about a dead guy.
Huck is a common sense, black and white kind of boy. If it doesn't make clear sense, he
sees little point in thinking about or doing
something.
Huck also detests rules, and at the Widow
Douglas there are many rules. Huck has to eat dinner at a specific time, has to say
grace before eating, is not allowed to smoke, and must learn spelling. This is
completely different from the wilder life he led earlier. Prior to the Wido Douglas,
Huck ate whenever and did whatever whenever he wanted to. He even chooses to sleep
outside often before it get cold.
Clear Huck feels trapped
and wants to be as free as he was at the beginning of the book.
It seems that, more than any other Shakespeare play,
Hamlet is renowned for its many plots hatched by many characters
and sucking everybody in to them, whether they like it or not or are aware of how they
are being used. Of course, the plots that other characters devise are mainly hatched by
Claudius and Polonius to try and establish what is the cause of Hamlet's "antic
disposition." Thus they enlist Ophelia, eavesdropping on her conversation with Hamlet in
Act III scene 1, and also Gertrude after the play in Act III scene 4. In addition,
Claudius turns Hamlet's friends against him, asking Rosencrantz and Guildenstern to help
discern what ails the young prince. Plots surround Hamlet left, right and centre, and we
can't help but feel sorry for him as those who should be closest to him are turned
against him.
However, at the same time, Hamlet shows that
he is no novice himself in the art of plots and stratagems. It is he who tests out the
words of the Ghost by creating The Mousetrap as an elaborate trap to "catch the
conscience of the King," and he is able to effectively detect the betrayal of both
Rosencrantz and Guildenstern and Ophelia. Note the way he plots his revenge against his
former friends by having them executed. If Hamlet is sinned against, he shows himself to
be equally sinning in this regard, responding with plots and stratagems of his own that
are arguably more successful than those of other characters. After all, he gets the
reaction that he had wanted from Claudius during his play, and he is successful in
disposing of Rosencrantz and Guildenstern.
A typewriter for English language use had the same
"qwerty" arrangement of letters in three rows, based on the frequency with which those
letters were used in the English language. Above the rows of letters would have been a
row of numerals 1-0 with alternate punctuation marks that could be typed when the key
and SHIFT were pressed at the same time. Typewriters had a TAB key to indent paragraphs,
a CAPS LOCK, SHIFT keys, and a RETURN key or lever which moved the typewriter head from
the right to the left margin of the paper and advanced the paper down for the next line
of type. Typewriters did have a BACKSPACE key for use in making corrections. Typewriters
did not have CONTROL or OPTION keys, non-electronic typewriters did not have a separate
number pad, they did not have arrows to move a cursor back, forward, up or down arrows,
and there were no function keys, DELETE keys, PAGE UP or PAGE DOWN keys, no HOME or END
keys, no ESCAPE key.
We'll recall the formula that gives the number of
combinations of n elements taken k at a time:
(n,k) =
n!/k!*(n-k)!
Now, we'll apply this formula to write (n,8)
and (n,10) in factorial way:
(n,8) = n!/8!*(n-8)!
(1)
(n,10) = n!/10!*(n-10)!
(2)
We'll equate (1) and
(2):
n!/8!*(n-8)! =
n!/10!*(n-10)!
But (n-8)! =
(n-10)!*(n-9)*(n-8)
10! =
8!*9*10
n!/8!*(n-10)!*(n-9)*(n-8) =
n!/8!*9*10*(n-10)!
We'll simplify and we'll
get:
1/(n-9)*(n-8) =
1/90
We'll cross
multiply:
(n-9)*(n-8) =
90
We'll remove the
brackets:
n^2 - 17n + 72 - 90 =
0
n^2 - 17n - 18 = 0
We'll
apply quadratic formula;
n1 = [17 + sqrt(289 +
72)]/2
n1 = (17+19)/2
n1 =
18
n2 = -1
Since
n has to be a natural number, then we'll keep the positive natural value: n =
18.
In Margaret Laurence’s novel The Stone
Angel, there are many different themes such as: alienation, pride, and
ageing. It is primarily a novel about an older woman named Hagar, who because of her
advanced age is no longer able to do the things she was once able to do in her younger
days. Hagar often feels alienated from others because of her feelings of inadequacies
and because she seems to cage herself in with negative perceptions of old age. She
cannot accept the changes that are happening to her. In addition, Laurence’s theme of
pride is emphasised with Hagar’s enormous pride and ego. Because of this pride, she has
even greater difficulties accepting the challenges presented during this time in her
life.
