# Examples for 9th grade - page 40

- Circle sector

Circular sector with a central angle 10 ° has area 254 cm^{2.}Calculate its radius r. - The cylindrical container

The container has a cylindrical shape the base diameter 0.8 meters has a content area of the base is equal to the content area of the shell. How many full liters of water can be poured maximally into the container? - Car rent

Rental cars are paid a fixed daily fee plus 16 cents for each kilometer traveled. Samuel want to rent a car for a day and worked out that will pay 175 euros. When paying he got a 20% discount on the daily fee, the cost per kilometer is unchanged. Samuel th - Rhombus 2

Calculate the area of rhombus which has a height v=48 mm and shorter diagonal u = 60 mm long. - Unknown number 10

Number first increased by 30%, then by 1/5. What percentage we've increased the original number? - Again saw

From the trunk of the tree we have to a sculpture beam with rectangular cross-section with dimensions 128 mm and 140 mm. What is the trunk smallest diameter? - Cottages

The summer camp is 41 cottages. Rooms are for three and for four in them. How many of the 140 campers lives of three? - Square roots

What is equal to the product of the square roots of 540225? - Reservoir + water

Reservoir completely filled with water weighs 13 kg. After pouring off three quarters of the amount of water weights 4 kg. Calculate the weight and volume of the reservoir. - Cars

Cars started at 7:00 AM. From point A car run at 40 km per hour, from B car run 70 km per hour. Between A and B is 250 km long road. When and where will meet (measured from point A)? - Rectangle - sides 3

If in the rectangle ABCD we enlarge the side a by 5 cm and decrease the side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of the side a by 4 cm and and at the same time we increase the length of side b by 3 cm we incr - Two cars

Car A1 goes at average speed of 133 km/h and the second car A2 goes at 128 km/h. How many second will it take car A1 to circulate car A2? Assume that both cars are 4.7 meters long and the safety gap between cars is 2.7 meters. - Flowerbed 2

Around the square flower bed in a park is sidewalk 1.4 m wide. The area of this sidewalk is 125 m^{2.}What is the area of the flowerbed? - Tram

In the three-part tram went 109 passengers in front of others, 92 after others and in the middle half of all. How many passengers went in tram total? - Ice cream in cone

In the ice cream cone with a diameter of 3.6 cm is 0.9 dl of ice cream. Calculate the depth of the cone. - Elevation

What must be the elevation of an observer in order that he may be able to see an object on the earth 814 km away? Assume the earth to be a smooth sphere with radius 6378.1 km. - Circle arc

Calculate the area of the circular arc in m^{2}where the diameter is 206 dm and a central angle is 150°. Result round to three decimal places. - XY triangle

Determine area of triangle given by line -7x+7y+63=0 and coordinate axes x and y. - Vector

Calculate length of the vector v⃗ = (-2.5, 6.25, -4.25). - Perpendicular

What is the slope of the perpendicular bisector of line segment AB if A[-9,-8] and B[-8,0]?

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