Examples for secondary school students - page 209 of 223
Number of problems found: 4452
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Squaring the Circle
Find the side of the square with the same area as the circle of radius 9.
- Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
- Map
On the tourist map, on a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes.
- Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0
- Im>0?
Is -10i a positive number?
- Vans
In how many ways can 5 shuttle vans line up at the airport?
- Slope
What is the slope of the line defined by the equation -2x +3y = -1?
- Sine
In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ.
- Reciprocal
Calculate the reciprocal of z=0.8-1.8i:
- Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
- Monty Hall
Suppose you're on a game show and have the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. What is the
- AVG of INT
What is the average of the integers from 9 thought 52 inclusive?
- Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0
- Discriminant
Determine the discriminant of the equation: 3x²+19=4
- Pillar
Calculate the volume of the pillar shape of a regular tetrahedral truncated pyramid if his square has sides a = 10, b = 19, and height is h = 28.
- 4s pyramid
A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height?
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Two boats
Two boats are located from a height of 150m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface.
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