1. Find the definition a word "to dream": * something that you want to happen very much
to make something
to go in the same direction
2. Find the word with their synonym "hear": *
great
receive
small
3. Put the words in the correct order to make a sentence: is having/ Ann/ party/ on Sunday./ a birthday *
On Sunday Ann is having a birthday party.
Ann is having a birthday party on Sunday.
Ann a birthday is having party on Sunday.
4. Find the right opyion to complete the sentence: I like sugar in my tea I don't like milk in it. *
but
and
or
5. Answer the question. What is the Earth's place in order of its distance from the Sun? *
the first
the sacond
the third
6. Choose the right option. Water covers ... % of Earth's surface *
70 %
60%
80%
7. Choose the right option to answer the question. Do you drive a truck? *
yes/no question
"wh" question
yes/no question with modal verb
8. Choose the correct variant. On the internet there is ... information about accommodation. *
many
much
few
9. Choose the correct variant. In Borabai there are ... houses or houses which you can rent. *
much
many
less
10. Take note of the compound noun. Sun... *
air
screen
port
11. Take note of the compound noun. On... *
gate
line
agent
12. Choose the correct answer. Two years ago I ... my old aunt in a small old town. *
visit
visited
visiting
13. Choose the correct verb. ... you ... the cat yesterday. *
Did ..see
Do .. see
Do ... saw
14. Read the text. Air pollution is a very serious problem. Industrial enterprises emit tons of harmful substances. They are the main reason for the greenhouse effect and acid rains. The pollution of air and the world’s ocean, destruction of the ozone layer is the result of man’s careless interaction- with nature a sign of the ecological crises. Rains, full of acid chemicals, change lakes, rivers, as well as forests. Acid water kills the plants and animals that usually live in water. Acid rain makes the Earth more acidic and some kinds of trees can’t live in the sol that is very acidic. Forests are disappearing and this upsets the oxygen balance. Water pollution occurs mostly, when people overload the water environment such as streams, lakes, underground water, bays or seas with wastes or substances harmful to living being.Nuclear weapon is also course of the pollution. It brings a great damage to the agriculture, forests and people's health. Read the text and find the correct answer. "True" or "False". Environmental problem isn't the most burning problem of today *
True
False
Not given
15. "True" or "False". We all shouldn't work together to safeguard our environment *
True
False
Not given
P_MNK=a+b+c=36 дм,
P_MNL = a+l+c/2=24 дм,
P_MKL = b+l+c/2=20 дм.
Сложим второе и третье уравнения.
a+l+c/2+b+l+c/2=24 дм + 20 дм
a+b+c+2l=44 дм.
Отсюда l = (44 дм - (a+b+c))/2 = (44-36)/2 дм = 4 дм.
Задача 2.
∠C=74°. Пусть ∠A=2α, ∠B=2β. Тогда ∠B=180°-∠C-∠A=180°-74°-2α=106°-2α=2β. Отсюда β=(106°-2α)/2=53°-α.
Пусть искомый угол γ. Тогда α+β+γ=180°. γ=180°-(α+β)=180°-(α+53°-α)=127°.
Задача 3.
x+5=x^2
x^2-x-5=0
В любом случае это уравнение имеет 2 корня, поскольку это уравнение второй степени от одной переменной. Вопрос в том, действительные ли эти корни и являются ли они кратными. Корни квадратного уравнения являются комплексными, если дискриминант отрицателен. Корни квадратного уравнения являются кратными, если дискриминант равен 0 - в этом случае квадратное уравнение имеет два одинаковых корня.
D=(-1)^2-4*1*(-5)=21 > 0 - уравнение имеет два различных действительных корня.