Examples for secondary school students - page 217 of 230
Number of problems found: 4597
- 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. - Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]? - ABS
What is the value of ||-48|-|-29||? - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - Reciprocal
What is the reciprocal of the sum of the reciprocals of 7 and 6? - Gain
Find the gain whenever the output power is 18x the input power. - Decibel
A circuit has an input power of 73 mW. Its output power is 18 mW. What is the loss in decibels? - Segments
Which of the pairs of numbers on the number line encloses the longest segment: ... - Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence? - VAT
John paid 10 Euros in-store for the purchase. Calculate value-added tax (VAT), which is paid in the purchase, if the VAT rate is 20%. - Mean
If the mean of the set of data 12, 14, 16, 10, 1, 20, 19, 13, 3, 11, 11, 17, 14, 16, 5, x is -10.8, what is the value of x? - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Cone
If the segment of the line y = -2x +3 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Negative percentage
In 2006, the company had a loss of 11100 Euros. Two years later, he was already in profit 50000 Eur. Calculate the percentage of the company's profits that increased in these two years. - Drinking water
A man drinks a keg of water in 21 days, and a woman drinks in 43 days. How many days do they consume a keg together? - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - Coordinate
Determine the unknown coordinate of the point M [x, 54] of the graph of the function f by rule: y = 3x - Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points.
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