# Examples for 9th grade - page 58

- Boat

A force of 226 kg (2260 N) is required to pull a boat up a ramp inclined at 10° with horizontal. How much does the boat weight? - Tower

How many m^{2}of copper plate should be to replace roof of the tower conical shape with diameter 13 m and the angle at the vertex of the axial section is 150°? - Gon functions

Decide which of the numbers (values of trigonometric functions) are positive and which are negative (or zero). Positive mark +1 and negative -1. - Tetrahedron

Calculate height and volume of a regular tetrahedron whose edge has a length 11 cm. - IS trapezoid

Isosceles trapezoid arm measured 52 cm. Height is 44 cm and middle segment is 50 cm. Determine length of its bases. - Q-Exam

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

Cycling race was run at an average speed of 33 km/h. One cyclist lost with defect 6 minutes. How long and how far he must go at speed 38 km/h to catch peleton again? - Reference angle

Find the reference angle of each angle: - Probabilities

If probabilities of A, B and A ∩ B are P (A) = 0.57 P (B) = 0.73 and P (A ∩ B) = 0.12 calculate the following probability (of union. intersect and opposite and its combinations): - Interest

Calculate how much you earn for 7 years 14000 deposit if the interest rate is 1.8% and the interest period is a quarter. - Triangle in circle

Vertices of the triangle ABC lies on a circle with radius 6 so that it is divided into three parts in the ratio 3:2:5. Calculate the circumference of the triangle ABC. - Diagonal

Determine the dimensions of the cuboid, if diagonal long 16 dm has angle with one edge 66° and with other edge 71°. - Circles 2

Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 15 cm, 15 cm, 8 cm. - Arc and segment

Calculate the length of circular arc l, area of the circular arc S_{1}and area of circular segment S_{2}. Radius of the circle is 49 and corresponding angle is ?. - Gold wire

From one gram of gold was pulled wire 1.2 km length. What is it diameter if density of Au is ρ=19.5 g/cm^{3}? - Track arc

Two straight tracks is in an angle 99°. They will join with circular arc with radius r=1292 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)? - Cone and cube

About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r? - Railways - golden parachutes

As often happens in Slovakia habit, the state's financial institution which takes from poverty and gorilas give. A hardworking punishing taxes. Let's look at a short work of director Railway Company ZSSK - Mgr . P. K. : 18 months 'work' as director r - The game of blind man's buff

Slovak levy system makes the gross wage deductions from your pay state employees. It has two components - part employee pays and part pays by the employer Suppose that the super gross wage paid 24% employer. After deducting these contributions we receive g - Right triangle eq2

Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.

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