September 2018 1 18 Report

Kąt nachylenia krawędzi bocznej ostrosłupa prawidłowego trójkątnego do płaszczyzny podstawy wynosi 60°. Oblicz pole przekroju ostrosłupa zawierającego tę krawędż oraz wysokość przeciwległej do niej ściany bocznej. Krawędż podstawy ma długość 4√3 cm.

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Zapisz jaki przedział lub suma przedziałów jest zbiorem rozwiązań nierówności:a) |X+3|≤4B) |X+7|≥8
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Choose the correct answer from the text . Decide which place (A, B, C, D) you should visit if you want to do some of the activities given below. The answers may be in any order, and chosen more than once. Seaside Resorts in England Which seaside resort would you go to if you00. liked seeing a lot of people- B – Brighton (example)01. had breathing problems02. were interested in architecture03. wanted to go fishing04. were interested in fish05. were interested in rocks06. liked drinking British beer07. preferred a warm climate08. wanted to go sailing09. were interested in English poetry10. had an interest in the history of warfareA.BournemouthBournemouth is well-known as a healthy and attractive and modern resort, surrounded by gardens and pine forests, which is popular all year round. It stands on two small hills in the sheltered valley of the Bourne river, the banks of which are laid out as public gardens. There are excellent and extensive sandy beaches for bathing, and a long line of picturesque cliffs. Among interesting things to see, there is the town art gallery and museum, and the East Cliff rock garden attracts geologists for it contains a large collection of British geological specimens. The town has literary connections, with Thomas Hardy and R. L. Stevenson, and Mary, the second wife of the poet, Shelley, is buried in St Peter’s churchyard. Pleasant walks may be taken along the coast in both directions.B.BrightonBrighton is a popular place, with a pebble beach and some sand at low tide. It lies on the slope of a hill, in the middle of a broad and shallow bay. The chief attractions of the place are its clear and bracing air, the fine expanse of sea bordered by white chalk-cliffs, and the crowds of visitors. There are a large number of old and interesting buildings in the town, in particular the Royal Pavilion, built in an Oriental style by the famous architect, John Nash, for the Prince Regent. There is an interesting aquarium near the Palace Pier. On the landward side of the town, the South Downs provide many interesting walks and viewpoints. In the summer, there is horseracing at the town race course, immortalized in Graham Greene’s novel, Brighton Rock. Brighton is well-known for its numerous public houses.C.TorquayThis is a well-known resort and spa on Tor Bay, Devon, with excellent bathing from a sand and pebble beach. It has a reputation for being a warm and well-sheltered place, and there is sub-tropical vegetation, palm-trees and the like, growing in the public gardens. On account of the mild climate, it is a popular place for people with delicate chests and pulmonary problems. The place dates back to pre-historical times, and there are numerous archaeological remains. Visitors enjoy picturesque cliff walks, but the town is best seen from a boat in the bay. In fact, Torquay is an important yachting station and an annual regatta is held there in August or September.D.ScarboroughSituated on the Yorkshire coast, Scarborough is build around two bays, separated by a headland on which are the ruins of a twelfth-century castle. The castle makes a fine viewpoint, especially at sunrise. The new town to the north is rather formal, and some find it dull; the narrow streets of the old town to the south become very crowded. The North Bay has gardens and a promenade, protected by a sea-wall. Anne Bronte is buried in Scarborough churchyard. It is a good place for the active and vigorous, for the town makes a good centre for the North York Moor national park, and there is opportunity for sea fishing.E.HastingsThe name of the town is remembered because of the Battle of Hastings, 1066, in which the French defeated the English and took over the country. Near Hastings is Battle Abbey, one of the most interesting historical monuments in Britain, founded by William the Conqueror after his victory over the English, led by Harold. The Abbey stands on the exact spot where the English king fell. There are many old buildings, including the remains of a Norman castle, open to the public. The sea front is striking, being about three miles long, and having a fine esplanade. The beach is pebble with sand at low tide. The town is active only in summer, and along the sea-front are row upon row of bed and breakfast hotels. There are cliffs to the east, providing walks to the well-known beauty spots of Fairlight and Ecclesbourne Glens.
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Translate the phrases given in brackets into English. My sister (nienawidzi wstawać) _________ early. I was embarrassed because (byłem ubrany w ) ________ jeans and everyone else had suits and ties on. You’re lucky that (nie musisz iść) ________ to bed early. These T-shirts (są takie tanie )__________ ! Come on. Stop (patrzeć się na siebie) _________ in the mirror and hurry up! (Co robiłaś) ________ yesterday at 7 p.m.? What time (spotykasz się)_______ with John this afternoon? (Nie było dużo) ___________ people at the concert. I’m good at skiing but I’m (nie taki dobry jak)___________ my brother. That’s my ( torba, nie twoja) ________.
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Translate the phrases given in brackets into English. My sister (nienawidzi wstawać) _________ early. I was embarrassed because (byłem ubrany w ) ________ jeans and everyone else had suits and ties on. You’re lucky that (nie musisz iść) ________ to bed early. These T-shirts (są takie tanie )__________ ! Come on. Stop (patrzeć się na siebie) _________ in the mirror and hurry up! (Co robiłaś) ________ yesterday at 7 p.m.? What time (spotykasz się)_______ with John this afternoon? (Nie było dużo) ___________ people at the concert. I’m good at skiing but I’m (nie taki dobry jak)___________ my brother. That’s my ( torba, nie twoja) ________.
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Complete each sentence with a word given below.ACROSS AGAINST FOR IN INTO ON ROUND TO UP WITH I’ll send someone to call ______ the parcel on Thursday. I’ll have to work hard to keep _____ with the rest of the class. Jean didn’t expect to come up _____ such difficulties. It’s not fair. You’re always picking ____ me. Terry sang the first verse and then everyone joined ______. I came _____ one of your novels in a second-hand bookshop. I’m not interested in buying anything. I’m just looking _______ . Don’t you think the manager should deal ________ this problem? George came ________ a lot of money when his uncle died. You look very guilty! What have you been getting up ______ ?
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Complete the expressions in each sentence with a word from the list below.DAY DOWN LIFE ROUND SEEK SOUL SOUND THEN TIME WIDE It’s extremely important. In fact, it’s a matter of ________ and death. Ann is great fun, and she’s always the life and __________ of the party. The police have been searching far and ________ for the stolen jewels. We were completely lost, and drove round and _________ for hours. I’ve told you _________ and again not to write tests in pencil. The two missing explorers have been found safe and _________. That man has been walking up and _________ outside the house all day. The children decided to play hide and _________ in the garden. I don’t see Paul very often, but I visit him now and __________. Sheila worked night and ___________ to finish her book on time.
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Szklanka ma kształt graniastosłupa sześciokątnego o wewnętrznych wymiarach:krawędź podstawy 3cm, wysokość 8cm.Do szklanki wlano kawę do wysokości 6cm i wrzucono 4 sześcienne kostki lodu o krawędzi 2cm. Czy kawa wyleje sie ze szklanki?
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Complete each sentence with a word made of the word given in brackets.1. Nina wants to be a ________(politics) and join the government.2. No one knows the exact______ (deep) of the water here.3. You have to have a lot of_______ (patient) to go fishing.4. _______(marry) is a serious matter, you have to think about it.5. Tom sent in his______(apply) for the job the next day.6. There was no_______(explain) for the crash of the airliner.7. The______(thief) of diamonds baffled the police.8. Our teacher was really______(anger) when she found out.9. Looking in the mirror too much is an example of_______ (vain)10. Eddie put the______(freeze) food in the freezer.
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Prostokąt o bokach długości 6 cm i 10 cm obrócono o kąt 360° wokół prostej zawierającej dłuższy bok. Oblicz objętość i pole powierzchni powstałej bryły.
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Przekrój osiowy walca jest prostokątem, którego krótszy bok jest średnicą podstawy walca. Przekątne prostokąta o długości 8√2 cm przecinają się pod kątem 60°. Oblicz pole powierzchni całkowitej i objętość walca.
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