Task 20. Square.
A square piece of paper with a side of 8 cm overshot on the dotted lines shown in Figure 5, and laid down a triangular pyramid.
Question. What is the volume of the resulting body?
Figure 5
Task 21. Polygon.
Figure 6 is given a mosaic made up of geometric shapes. Using drawing, answer the following questions.
Fig. 6
Question 1. How many rectangles in the picture? Answer: .
Question 2. How many right-angled triangles (with the smallest area) in the picture?
Answer: .
Question 3. How many isosceles triangles in the picture? Answer: .
Question 4. How many rhombus in the figure? Answer: .
Task 22. Movement.
First train speed of 70 km / h and at a second speed of 5 km / h less.
Question 1. How many kilometers will each train pass individually in 5 hours? Answer: .
Question 2. If the train went at once to meet each other on the road 270 km long, then after many hours of their meeting will be held?
Answer: .
Task 23. The function and its graph.
Figure 7 shows a graph of the function f (х) ах 2 bx c .
Fig. 7
Using the graph of the function, answer the questions.
Question 1. Write down the coordinates of the vertex of the parabola.
Question 2. Write down the equation of the axis of symmetry of the graph of the function.
Question 3. Find the point of maximum function.
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