Examples for secondary school students - page 209 of 222
Number of problems found: 4435
- 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 ||-81|-|-90||?
- 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 21x 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 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, 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 = -3x +4 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 36 days, and a woman drinks in 65 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
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