Planimetrics - math word problems - page 110 of 184
Number of problems found: 3667
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c)
- Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles.
- Similarity
ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity.
- Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid?
- Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km.
- Climb
For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (permille, parts per thousand).
- Aluminum 72964
The aluminum disc has a diameter of 96 mm. 10 discs are cut from a sheet metal sheet 1 m long and 10 cm wide. What% is waste?
- Rectangle 4077
We cut the largest possible circle from a paper rectangle with 25 cm and 15 cm sides. How many % of the area of the rectangle is the area of the circle?
- Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
- XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- Photo enlarge
Mark wants to enlarge a 4-inch by 6-inch photo to 15 inches in height. Use a ratio table to determine the new width of the photo.
- Equator
Suppose that a tourist went on foot over the Globe Equator. How many meters more track made his hat on his head as the shoes on your feet? The radius of the Earth is 6378 km, and the height of the tourist is 1.7 m.
- Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²?
- Field on plan
The plan has a scale of 1:2500. Determine dimensions in centimeters of the plan if the field has a length of 310 meters and 182.5 meters.
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7.
- Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x;
- Original 45871
Resize the square to 7:3. The original size is 39cm. What is the size of the square after the change?
- A map
A map of size 60cm by 25cm is reduced in the ratio of 3:5 twice. What are the new dimensions?
- Rectangular land
Due to the new road, the longer dimension of the rectangular plot had to be shortened by 4 percent, and the shorter dimension shrunk by 10 percent. Thus, the area of the land has decreased by how much percent?
- Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have?
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