# Examples for 9th grade - page 26

- Chord AB

What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm? - Chemical parison

The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface? - Circle arc

Calculate the area of the circular arc in m^{2}where the diameter is 290 dm and a central angle is 135°. Result round to three decimal places. - Snowman 2

On the medal, which has the shape of a circle with a diameter 18 cm is sketched snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over snowman is the same as under it, 3. diameters of all circles express - Forth and back

Car goes from point A to point B at speed 78 km/h and back at 82 km/h. If went there and back at speed 81 km/h journey would take five minutes less. What is the distance between points A and B? - Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm. - Parallelogram

The perimeter of the parallelogram is 417 cm. The length of one side is 1.7-times longer than the length of the shorter side. What is the length of sides of a parallelogram? - Pedestrian

Pedestrian came started at 8h in the morning with speed 4.4 km/h. At half-past eleven cyclist started at 26 km/h same way. How many minutes take cyclist to catch up pedestrian? - Trapezoid RT

The plot has a shape of a rectangular trapezium ABCD, where ABIICD with a right angle at the vertex B. side AB has a length 36 m. The lengths of the sides AB and BC are in the ratio 12:7. Lengths of the sides AB and CD are a ratio 3:2. Calculate consumptio - Rectangular trapezoid

The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid. - Sequence

In the arithmetic sequence is given: S_{n}=2304, d=2, a_{n}=95 Calculate a_{1}and n. - Earth's diameter

The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen flyover the Earth above the equator at 10 km if it is at an average speed of 1500 km / h? - Exp

If ?, then n is: - Components

In the box are 8 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning? - Metal alloy

What is the ratio of metals in the alloy that is in the 50 tonnes of steel to 30 kg nickel? - Package

The package has no more than 67 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left remain. On the one blouse consumes 3.8 m of cloth and on one dress 1.7 m. Determine the amount of the cloth in the package. - Cuboid

The volume of the cuboid is 245 cm^{3}. Each cuboid edge length can be expressed by a integer greater than 1 cm. What is the surface area of the cuboid? - Three digits number

How many are three-digit integers such that in they no digit repeats? - Trapezoid ABCD v2

Trapezoid ABCD has length of bases in ratio 3:10. The area of riangle ACD is 825 dm^{2}. What is the area of trapezoid ABCD? - Subway

Subway train went between two stations that gradually accelerated for 26 seconds and reached a speed of 72 km/h. At this rate, went 56 seconds. Then 16 seconds slowed to a stop. What was the distance between the stations?

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