Planimetrics - math word problems - page 136 of 178
Number of problems found: 3558
- Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m simultaneously.
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their areas are the same.
- Calculate 11251
The oil pressure in the press is 20 MPa S = 15 dm². Calculate the amount of force that lifts the piston.
- Coefficient 45821
What is the smallest radius a turn must have for a car to enter safely without exceeding a speed of 50 km/h? The coefficient of shear friction between the tires and the surface is 0.4.
- Resistivity 3983
What was the length of an iron wire with an area of 3cm² if its resistance was 15 ohms? Iron (Fe) resistivity is 0.0996 x 10 at -6 Ohm/meter.
- Circular motion
The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement.
- Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s
- Calculate 64444
The length of the linden shadow is 429 cm. The length of the shadow meter is 78cm. Calculate the height of the linden.
- Corresponds 81049
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal
- Rectangular 73554
The family house has a rectangular shape with sides of 15m and 12m. Determine the lengths of the sides of a family house on a drawing with a scale of 1:250
- Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles.
- Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. The lengths: a = 5cm, b = 8cm and x = 7.5cm z = 9cm.
- Trapezoid 45
Trapezoid with: Area: 345 1/2 sq cm First base = 15 1/3 cm height= 4 1/5 cm What size is the second base?
- Hectares
The rectangular land has 3 cm and 4.5 cm dimensions on the plan with a scale of 1:40,000. Find the area of the land in hectares.
- RPM
An electric motor makes 3,000 revolutions per minute. How many degrees does it rotate in one second?
- Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p.
- Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area.
- Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5cm.
- Respectively 81293
The figure shows the squares ABCD, EFCA, CHCE, and IJHE. Points S, B, F, and G are, respectively, the centers of these squares. Line segment AC is 1 cm long. Determine the area of triangle IJS. Please help...
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