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Mnenie [13.5K]
3 years ago
12

A geometry student wants to draw a rectangle inscribed in a semicircle of radius of 8. If one side must be on the semicircle's d

iameter, what is the area of the largest rectangle that the student can draw?
Arts
1 answer:
SOVA2 [1]3 years ago
5 0
For the answer to the question above, let's start with the whole circle.
Let's assume that <span>the maximum possible area of a rectangle inscribed in a complete circle is achieved when the rectangle is a square. 
</span>
D= Circle's Diameter = 16 
square's area = (D^2) / 2 = 256/2 =128 
Imagine we want to break the circle into two semicircles, the square would be divided into two rectangles which would have the maximum possible area. 
rectangle's area = square's area / 2 = 128/2 = 64
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<span>1. </span>I believe the correct answer is Umberto Boccioni.

 

Umberto Boccioni was an influential Italian painter and sculptor whose painting style incorporated cubism, simulated motion, and fragmented lines and shapes movement and speed. Apart from his knowledge of classics through studying the Impressionism, Boccioni was influenced by cubism and futurism of Giacomo Balla. Boccioni once said to a friend that he wanted to capture movement and shapes: "I attempted a great synthesis of labor, light and movement".

 

<span>2.      </span>I believe the correct answer is Umberto Boccioni.


“The Futurist Painting: Technical Manifesto” was the first theoretical underpinning of Italian Futurist painting. The Manifesto was written by Umberto Boccioni and signed by Carlo Carrà, Luigi Russolo, Giacomo Balla and Gino Severini. The first publication was as a leaflet in Poesia, in Milan, 11 April 1910.

 

<span>3. </span>I believe the correct answer is politics.

 

Italian Futurists were fascinated with politics and they viewed their movement as a protest towards some social, governmental or political issues (as many of Avant-Garde movements did). This movement represented the victory over nature by depiction of speed, youth and technology.

 

<span>4. </span>I believe the correct answer is action.

 

Boccioni was an Italian painter and a sculptor whose style simulated motion, and fragmented lines and shapes movement and speed. He was interested construction of the movement, action of the body, and not the construction of the body itself. Therefore, the dynamics of a human body were his main focus and his vision of art changed many artists' visions towards shape and form.

 

<span>5. </span><span>I believe the correct answer is authoritarian politics. </span>

<span>
</span>

The work of the Futurists was a manifestation of authoritarian politics as they favoring or enforcing strict obedience to authority at the expense of personal freedom. The manifestation of their authoritarian politics was primary presented with “The Manifest of Futurism” written by the Filippo Tommaso Marinetti, which contained artistic philosophy of Futurism, the main characteristics, and assertions that Italy must be immediately modernized in cultural and technical ways. This was later followed by “The Futurist Painting: Technical Manifesto”, a manifest written by Umberto Boccioni.


<span>6. </span>I believe the correct answer is the past.

 

Filipo Tommaso Marinetti, who is considered for the founder of Futurism due to his manifest, hated the past. Marinetti’s “The Manifest of Futurism” was devoted to the main principles and functions of Futurism which claimed that Futurism is a rejection of the past, meaning that the new steps into the future must be developed through technological progress.

 

<span>7.      </span>I believe the correct answer is movement and speed.


One of their major themes of Futurism was movement and speed which are associated with technological progress that will get rid of all the vestiges of the past (as it is stated in the manifest). Speed and movement were depicted and followed by all art categories in Futuristic movement: painting, sculpture, graphic design, filmmaking, fashion and literature.

 

<span>8.      </span>I believe the correct answer is suprematist movement.


The painting “White on White” was the pinnacle of the suprematist movement, which was focused on basic geometric forms, such as circles, squares, lines, and rectangles, painted in a limited range of colors. This painting was painted by Russian painter Kazimir Malevich who was also the founder of the term of suprematism and of its movement.


<span>9.      </span>I believe the correct answer is black.


Kasimir Malevich’s famous 1915 painting of a square was the black color. The painting “Black Square” is considered to be the iconic work of Russian painter Kasimir Malevich, as it meant to evoke the experience of pure non-objectivity in the white emptiness of a liberated nothing.


<span>10.  </span>I believe the correct answer is religious experience.


Kasimir Malevich believed his colored shapes could convey the awe of religious experience, as he once stated: "Art no longer cares to serve the state and religion, it no longer wishes to illustrate the history of manners, it wants to have nothing further to do with the object, as such, and believes that it can exist, in and for itself, without "things"”.


<span>11.  </span>I believe the correct answer is war.


Russian painter Kasimir Malevich said that the war was not important in art. He thought that art is the complete opposite of the war, as the art can only affect people in good ways, and that war affects people in bad ways.


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Kasimir Malevich believed that the only thing that mattered was object feeling. The object feeling is a term in suprematism that refers to an abstract art that is meant to reflect "the supremacy of pure artistic feeling". Malevich believed that people could get the object feeling when they look at the works of suprematism because they could perceive concrete figures which are already familiar to them.

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