Planimetrics - math word problems - page 111 of 184
Number of problems found: 3667
- Cutting circles
From the square 1 m sides, we have to cut the circles with a radius of 10 cm. How many discs will we cut, and how many percent will be wasted?
- Find all
Find all right-angled triangles whose side lengths form an arithmetic sequence.
- Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²)
- A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?
- Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2).
- Center
In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
- Eight-square 29951
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²?
- Rectangle 12081
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares?
- Isosceles 5575
The picture shows an isosceles triangle VLK with a center of gravity of T. The base VL measures 16 cm, and the line KK1 measures 18 cm. How long is the VV1 line?
- Lake or pond
The landlord has a square lake. Trees grow around it. The lake wants to enlarge the pond twice without cutting down or flooding any trees. How will he do that?
- Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB.
- The carpet
How many meters of carpet 90 cm wide need to cover the floor room, which has a rectangular shape with lengths of 4.8 m and 2.4 m, if the number of pieces on the carpet is needed to be lowest?
- Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent?
- Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cm x 32 cm. How many tiles will they n
- Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k?
- Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y.
- Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how much less the area of the rectangle has decreased in percentages.
- Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square?
- Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises?
- Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
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