# Examples for 9th grade - page 32

- n-gon II

What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - n-gon

What is the side length of the regular 5-gon inscribed in a circle of radius 11 cm? - Fertilizer

Mr. Gherkin use for fertilization 9% solution of fertilizer. 7 liters of it still left. How much water must be added to the solution to make only 5% solution? - Train

A passenger train traveled for 4 hours 136 km. 2.7 hours after its departure started fast train and caught it on 324 km. How many km/h is different its average speeds? - Aircraft

The plane flies at altitude 6800 m. At the time of first measurement was to see the elevation angle of 20° and second measurement of the elevation angle of 34°. Calculate the distance the plane flew between the two measurements. - Quadrant

In what quadrant is a 1501° angle? - Cuboid

Cuboid with edge a=14 cm and body diagonal u=42 cm has volume V=10976 cm^{3.}Calculate the length of the other edges. - Right triangle

Right triangle ABC with side a = 16 and the area S = 80. Calculate the length of the remaining sides. - Salary

Calculate equivalent annual salary to hourly salary $ 29. Assume a 40-hour work week. - Heron backlaw

Calculate missing side in a triangle with sides 33 and 27 and area 118.3. - Cylinder - basics

Cylinder with base radius r = 37 cm and height h=74 cm. Calculate: - Candy - MO

Gretel deploys to the vertex of a regular octagon different numbers from one to eight candy. Peter can then choose which three piles of candy give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles triang - Cancer

Of the 80 people 50 people ill cancer. What percentage of people isn't ill? - Numbers at ratio

The two numbers are in a ratio 3:2. If we each increase by 5 would be at a ratio of 4:3. What is the sum of original numbers? - Reducing number

Reducing the an unknown number by 28.5% we get number 243.1. Determine unknown number. - Traffic laws

Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of the dipped-beam lights of their car, Peter stopped car at 1.5 m from the wall. The dipped-beam headlights are 60 cm high. At what height on the wa - Mom and daughter

Mother is 39 years old. Her daughter is 15 years. For many years will mother be four times older than the daughter? - angles in quadrilateral

What size have angles in quadrilateral (4-gon) if they are in a ratio of 8: 9: 10: 13? - Truck

In 7 hours started from town Krnov truck at speed 40 km/h. Passenger car started against it in 8 hours 30 minutes from the city of Jihlava at speed 70 km/h. Distance between this two cities is 225 km. At what time and at what distance from Krnov this two. - Salt

1 t of sea water contains 25 kg of salt. How many tons of seawater must be evaporated to obtain 2 q of salt?

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