Planimetrics - math word problems - page 138 of 184
Number of problems found: 3667
- 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.
- Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors.
- Perpendicular 80464
A group of tourists split up at the intersection of two perpendicular paths. One group walked at a speed of 5.3 km/h. Second group 4.1km/h. How far were the two groups from each other after 1h 25min?
- 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...
- The observer - trees
The observer sees the tops of two trees at the same angle α. It is 9 m from one tree and 21 m from the other. The trees stand on a level. How tall is the second tree if the height of the first is 6 m? Remember that the eyes of a standing person are approx
- Triangle P2
Can a triangle have two right angles?
- 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
- Two 2
Two different harvesters harvested potatoes with an area of 6.6 ha in one shift when they were operating simultaneously. The area of land from which the less powerful harvester was able to harvest potatoes in six shifts, the more powerful harvester in
- Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field?
- Foot area
Which animal will leave a deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?
- Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage?
- Shadow of tree
Miro stands under a tree and watches its shadow and shadow of the tree. Miro is 180 cm tall, and its shade is 1.5 m long. The tree's shadow is three times as long as Miro's shadow. How tall is the tree in meters?
- Cylindrical 81748
The hydrostatic pressure at the bottom of a cylindrical water container is 10 kPa. The bottom has an area of 0.25m². How much pressure does the water exert on the bottom?
- Dimensions 81607
On a 1:150000 scale map, what will be the dimensions of a strip of the forest whose actual length is 6 km and actual width is 900 meters?
- 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.
- Traveling 5808
The diameter of the wheel is 56cm. How often does it turn in 5 minutes if traveling at 60km/h?
- Cross road
From the junction of two streets perpendicular to each other, two cyclists (each on another street) walked out. One ran at 18 km/h, and the second at 24 km/h. How are they away from a) 6 minutes, b) 15 minutes?
- Circumference 6598
Adam had three identical rectangles. He put them together and got a rectangle with a circumference of 50 cm. Then, he placed them differently and got a rectangle with a larger circumference. Calculate its perimeter.
- Rows of chairs
There are 15 chairs in the first row. There are 3 more chairs in each row. How many chairs are there in the first 20 rows?
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