Planimetrics - math word problems - page 115 of 183
Number of problems found: 3651
- Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary?
- Do you solve this?
Determine area S of a rectangle and the length of its sides if its perimeter is 102 cm.
- The coordinates 2
The coordinates of the vertices of the triangle shown are A(1,7), B(5,2), and C(5,7). What is the length of segment AB in units?
- Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.
- Similarity coefficient
The triangles ABC and A'B'C' are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A'B'C'.
- Medians and sides
Determine the size of a triangle KLM and the size of the medians in the triangle. K=(-5; -6), L=(7; -2), M=(5; 6).
- Coordinates 36751
Calculate the circle's length and determine the coordinates of the center of the circle when given its diameter XY, X / -3.2 / and Y / -3, -4 /.
- Storm 4
Approximately 4000 trees grow on 1 hectare of forest. During the storm of 20.11.2004, 95% of the trees on 100km² of the forest cover of the High Tatras were destroyed. How many trees were destroyed?
- Railway
The railway line climbs 8 permille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 permille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C.
- Right-angled 66364
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area.
- Bracelet 48003
Radka wants to model a round bracelet with a diameter of 8 cm from copper wire. About how much wire does he need to make it if he needs to add 15% of its length to the eyelets? (π = 3.14)
- Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence.
- In a
In a triangle, the aspect ratio a: c is 3:2, and a: b is 5:4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides.
- Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden?
- Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7cm, BC=5.5cm, and the height of the first side on AB=4.4cm.
- Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c?
- Clock hands
Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6, and 11 hours.
- Vertices of RT
Show that the points P1 (5,0), P2 (2,1) & P3 (4,7) are the vertices of a right triangle.
- Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. The sides' lengths are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles according to their size.
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