# Examples for 9th grade - page 31

- Rectangle - sides

What is the perimeter of a rectangle with area 1026 cm^{2}if length of the shorter side is 11 cm shorter than the length of the longer side? - Isosceles III

The base of the isosceles triangle is 24 cm area 416 cm^{2.}Calculate the perimeter of this triangle. - Maple

Maple peak is visible from a distance 4 m from the trunk from a height of 1.7 m at angle 50°. Determine the height of the maple. - Plastic pipe

Calculate weight of the plastic pipe with diameter d = 60 mm and length 400 cm if the wall thickness is 6 mm and the density of plastic is 1228 kg/m^{3.} - 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? - 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 - Apples

A 2 kg of apples cost a certain sum of money. This sum is equal to the amount of kilograms for which we pay 72 CZK. How much is 1 kg of apples? - Three drivers

Three driversdriving the same direction found that they have same amounth of gasoline. The first is enough to go 6 km, 4 km second and third 3km. Gasoline they divided so all three just drove to the nearest petrol station. How many km away was a petrol sta - Reducing number

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

If the length of the sides of the square we decrease by 25% decrease the content area of 28 cm^{2.}Determine the side length of the original square. - Nine-gon

Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 20 cm. - 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?

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