Planimetry - math word problems - page 131 of 187
Number of problems found: 3739
- Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - Hypotenuse, euclid
In a right-angled triangle, the hypotenuse has a length of 24 cm. The foot of the altitude to the hypotenuse divides it into two parts in a ratio of 2:4. What is the length of the altitude to the hypotenuse in cm? Calculate the perimeter of this right tri - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area. - Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor. - Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno - n-gon
Gabriel draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 120° biggest 160°. How many sides have Gabriel's n-gon? - Calculate 7
Calculate the height of the trapezoid ABCD, where the coordinates of vertices are: A[2, 1], B[8, 5], C[5, 5] and D[2, 3] - Hydraulic patient lifting
A dentist lifted a patient in a chair by 10 cm using a hydraulic device. The mass of the patient with the chair is 100 kg. a) What force did the dentist have to apply to the small piston, if the ratio of the areas of the large and small pistons is S2/S1=2 - Hydrostatics
A) Calculate the hydrostatic pressure at the bottom of the Mariana Trench. The density of seawater is 1,030 kg/m³. What depth do you need to look up in an atlas or on the Internet? B) Calculate the pressure force acting on a submarine with a surface area - Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square. - Court field comparison
The tennis court measures 40.20 meters. The football field measures 40.90 meters. How many times is the football field compared to the tennis court? - Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle? - Two gardeners
The garden, with an area of 81 square meters, was divided by two gardeners in a ratio of 4:5. How much did the second gardener get more than the first? - Circle removal
The student should remove the inner circle with a radius of 3 cm from the circle with a radius of 7 cm. How much of the area of the large circle will be removed? Express result in percent. - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? - RT area
A right triangle has an area of 54 cm². Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg. - Rectangle area dimensions
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution? - Isosceles Triangle Area
In an isosceles triangle, the base length is equal to 75% of the arm's length. If the circumference is 22 cm, determine the area of the triangle. - Isosceles triangle
The perimeter of an isosceles triangle is 112 cm. The length of the arm to the length of the base is at a ratio of 5:6. Find the triangle area.
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