Basic operations and concepts - math word problems - page 317 of 319
Number of problems found: 6378
- Straight 21243
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle? - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - 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? - Intersect 5216
At how many points do ten lines intersect if no two are parallel? - CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution? - Sine theorem 2
From the sine theorem, find the ratio of the sides of a triangle whose angles are 30°, 60°, and 90°. - Angle of climb
At what angle does the road rise if the climb is 10%?
- Road
The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb? - Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree. - Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1. - Goat
The meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments? - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Function x*tanx
Functions: f(x)=xtanx f(x)=(e^x)/((e^x)+1) Find; i)vertical and horizontal asymptotes iii)the interval of decrease and increase iii)Local maxima and local minima iv)interval of concavity and inflection. And sketch the graph.
- Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - SSA and geometry
The distance between the points P and Q was 356 m measured in the terrain. The viewer can see the PQ line at a 107°22' viewing angle. The observer's distance from P is 271 m. Find the viewing angle of P and the observer. - Calculate 83261
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the top A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 - Maximum area of rhombus
Calculate the interior angles at which the equilateral rhombus has a maximum area. - Straight 30241
The straight road has a rise of 19%. How big is the pitch angle?
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