# Examples for 9th grade - page 11

- Euclid1

Right triangle has hypotenuse c = 15 cm. How large sections cuts height h_{c}=7 cm on the hypotenuse c? - Freedom

In the city are 2/6 of women married for 4/4 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Seedcake

Seedcake costs 50 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros? - Center

Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[27,-11] B[2,-30] C[11,12]. - Phone numbers

How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - Trains

From station 130 km away started passenger train and after 2.8 hours after the express train, which travels 24 km an hour more. Express train finish journey 14 minutes early. Calculate the average speed of this two trains. - Estate

Semicircle estate must be fence. The straight section has 44 meters long fence. How many meters of fence should buy? - Wire

One pull of wire is reduced its diameter by 9%. What will be diameter of wire with diameter 9 mm over 8 pulls? - Parquet floor

Three workers laid parquet floor for 1.957 hour. The first one would do this work alone 5 hours, the second in 9 hours. For how many hours would fulfill this work the third worker, if he worked alone? - Rhombus 2

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

What angle rising stairway if step height in 17 cm and width 24 cm? - Square 2

Points D[9,-1] and B[3,3] are opposed vertices of the square ABCD. Calculate area of the square ABCD. - Canopy

Mr Peter has metal roof cone shape with a height of 36 cm and radius 73 cm over well. He needs paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 2.1 m^{2}? - Prism

Calculate the volume of the rhombic prism. Base of prism is rhombus whose one diagonal is 39 cm and the edge of the base is 24 cm. The edge length of the base of the prism and height is 3:2. - n-gon

Gabo draw n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon? - 4side pyramid

Calculate the volume and surface of 4 side regular pyramid whose base edge is 4 cm long. The angle from the plane of the side wall and base plane is 60 degrees. - Rotary cone

Rotary cone whose height is equal to the circumference of the base, has a volume 4772 cm^{3.}Calculate the radius of the base circle and height of the cone. - Climb

Road has climbing 1:23. How big is a angle corresponds to this climbing? - Motion

From two different locations distant 104 km started against car and bus. The car started at 5:30 with average speed 58 km/h. Bus started at 6:40 with average speed 79 km/h. When they meet? How many kilometers went the bus? - OK circle

Calculate the radius (circumradius) of the circle described right triangle with hypotenuse long 43 and one cathetus long 21.

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