# Examples for 9th grade - page 15

- Right triangle

Calculate the missing side b and interior angles, perimeter and area of a right triangle if a=10 cm and hypotenuse c = 16 cm. - Magnification of the square

If we increase the square side, increase the content of the 42 %. About what percentage was increased his sides? - Trigonometry

If you know that cos(α) = sin (-968°), what is the angle α? - 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. - EQL triangle

Calculate inradius and circumradius of equilateral triangle with side a=100 cm. - Tanker

An oil tanker can be emptied by the first pump in 4.4 hours. Second pump can empty an tanker in 7.8 hours. If the first pump started at 8:00 and second 1.4 hour later, at what time will the tanker be empty? - Q-Exam

If tg α = 3.8, Calculating sin α, cos α, cotg α . - Block

Calculate the volume of a cuboid ABCDEFGH if |AB| = 11 cm, |BC| = 8 cm and the angle ∠CDG = 29.4° - Cone and the ratio

Rotational cone has a height 28 cm and the ratio of the base surface to lateral surface is 4: 7. Calculate a surface of the base and the lateral surface. - Cardboard box

We want to make a cardboard box shaped quadrangular prism with rhombic base. Rhombus has a side of 5 cm and 8 cm one diagonal long. The height of the box to be 12 cm. The box will be open at the top. How many square centimeters cardboard we need, if we cal - Truncated cone

Calculate the height of the rotating truncated cone with volume V = 1299 cm^{3}and a base radii r_{1}= 6.3 cm and r_{2}= 9.7 cm. - Morse alphabet

Calculate how many words of Morse code to create compiling commas and dots in the words of one to five characters. - Sphere A2V

Surface of the sphere is 306 m^{2.}What is its volume? - Steamship

Between the two ports on the river is going steamship. The journey there and back takes 14:49. Downstream steamship traveling at 21 km/h, upstream 9 km/h. What is the distance between the ports? - Pairs

At the table sit 12 people, 6 on one side and 6 on the other side. Among them are 5 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - MO - triangles

On the AB and AC sides of the triangle ABC lies successive points E and F, on segment EF lie point D. The EF and BC lines are parallel and is true this ratio FD:DE = AE:EB = 2:1. The area of ABC triangle is 27 hectares and line segments EF, AD, and DB se - 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 - Leveling

Calculate how many 25 kg bags of leveling concrete must be purchased if we leveling room 28 m^{2}to the "height" 12 mm if consumtion is 1.7 kg per square meter and millimeter thickness. - Vector

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

Marie earns 1.8 liters of blueberries for 1.2 hours, Peter 2.6 liters for 1.2 hours. How long have earns together one liter?

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