# Examples for 9th grade - page 40

- Meat

Half a kilogram of pork and three-quarters of a kilogram of beef cost total 6.6 USD. One quarter of a kilogram of beef and 1 kilogram of pork cost 6.3 USD. Determine the price of 1 kg of each type of meat. - Elevator

In homes with more floor elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the count - Hexagon 5

The distance of parallel sides of regular hexagonal is 81 cm. Calculate the length of the radius of the circle described to this hexagon. - Sails

We known heights 220, 165 and 132 of sail. It has triangular shape. What is the surface of the sail? - Flowerbed

Flowerbed has the shape of an isosceles obtuse triangle. Arm has a size 6.1 meters and an angle opposite to the base size is 93°. What is the distance from the base to opposite vertex? - Sector

The perimeter of a circular sector with an angle 2 rad is 53 cm. Determine the radius of the circle from which the sector comes. - Shooter

The shooter fired to a target from distance 9 m The individual concentric circle of targets have a radius increments 1 cm (25 points) by 1 point. Shot was shifted by 16'(angle degree minutes). How many points should win his shot? - Against each other

From two points A, B distant 45 km at the same time started two cars against each other at speeds 81 km/h and 67 km/h. How long does cars meet and what distance passes each of them? - Map - climb

On the map of High Tatras in scale 1:25000 are cable car stations in the Tatranska Lomnica and in the Skalnate Pleso with distance 156 mm. Altitude of this stations are 944 m and 1755 m. What is average angle of climb of this cable car track? - 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. - Perpendicular

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

Wire length 5 m is bent so that it forms a semicircle circuit (including the diameter). Determine the radius of the semicircle. - Right isosceles

Calculate area of the isosceles right triangle which perimeter is 35 cm. - Wheat

The rectangle shaped field with dimensions 979 m and 540 m harvested last year was 2775 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 6 m parallel to the side of the field 540 m, where no - Function

For linear function f(x) = ax + b is f(12)=118; f(15)=132. Calculate m, if f(m) = 2005 . - V-belt

Calculate the length of the belt on pulleys with diameters of 144 mm and 332 mm at shaft distance 197 mm. - Triangle

Calculate heights of the triangle ABC if sides of the triangle are a=48, b=81 and c=98. - Slope of track

Calculate the average slope of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL), if the track is 158 km long. - Engineer Kažimír

The difference between politicians-demagogues and reasonable person with at least primary education beautifully illustrated by the TV show example. "Engineer" Kažimír says that during their tenure there was a large decline in the price of natural gas, pri - Shots

Determine the percentage rate of keeper interventions if from 32 shots doesn't caught four shots.

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